\303\200s vezes, as solu\303\247\303\265es s\303\243o ilustradas por um gr\303\241fico: a se\303\247\303\243o suspensa Gr\303\241fico XXX fica em roxo.NB: O tempo de resposta \303\251 um pouco lento.
Uma urna cont\303\251m as palavras LE, GRANDS, HANCHE, LA, FOU, ROSEAU e uma palavra \303\251 retirada aleatoriamente da urna. N\303\263s notamos :(i) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o comprimento da palavra desenhada(ii) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de suas vogais(iii) 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(iv) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiV0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= a vari\303\241vel indicadora do evento "a palavra come\303\247a com a letra L"1. Determinar e representar graficamente a lei de cada VA.2. Determine explicitamente os seguintes eventos e calcule sua probabilidade:(i) 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 (ii) 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 (iii) 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 (iv) 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 (v) 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<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.1.1</Font></Text-field>O universo \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2KFEnJiM5Mzc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2MFEiPUYnRi9GNUY4RjovJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYjNigtRiw2I1EhRictSShtZmVuY2VkR0YkNiktRiM2PS1GLDYoUSNMRUYnRi9GMkY1RjhGOi1GPjYwUSJ+RidGL0Y1RjhGOkZBRkNGRUZHRklGS0ZNL0ZQUSYwLjBlbUYnL0ZTRl9vLUY+NjBRIixGJ0YvRjVGOEY6RkEvRkRRJXRydWVGJ0ZFRkdGSUZLRk1GXm8vRlNRLDAuMzMzMzMzM2VtRidGW28tRiw2KFEnR1JBTkRTRidGL0YyRjVGOEY6RltvRmFvRltvLUYsNihRJ0hBTkNIRUYnRi9GMkY1RjhGOkZbb0Zhb0Zbby1GLDYoUSNMQUYnRi9GMkY1RjhGOkZbb0Zhb0Zbby1GLDYoUSRGT1VGJ0YvRjJGNUY4RjpGW29GYW9GW28tRiw2KFEnUk9TRUFVRidGL0YyRjVGOEY6Ri9GNUY4LyUscGxhY2Vob2xkZXJHRmVvLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Zlb0Y6Ri9GNUY4RjovJSVvcGVuR1EpJmxicmFjZTtGJy8lJmNsb3NlR1EpJnJicmFjZTtGJ0YvRjVGOEY6RlZGL0Y1RjhGOg== : 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 , \303\251quiprobabilidade.Por raz\303\265es de conveni\303\252ncia, fazemos uma tabela com os mesmos valores para os quatro VAs, mesmo que isso signifique fornecer probabilidades zero a determinados valores.
use DocumentTools in
Xv := [0,1,2,3,4,5,6]:
Xp := [0,0,2/6,1/6,0,0,3/6]:
XX := Matrix([Xv,Xp]):
ex111dtX := copy(XX):
Do(%ex111PLS1 = SDiag(XX,["DarkRed",nul,solid,1])):
end use; 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Ig==use DocumentTools in
Yv := [0,1,2,3,4,5,6]:
Yp := [0,3/6,2/6,0,1/6,0,0]:
YY := Matrix([Yv,Yp]):
ex111dtY := copy(YY):
Do(%ex111PLS1 = SDiag(YY,["DarkRed",nul,solid,1])):
end use;
use DocumentTools in
Zv := [0,1,2,3,4,5,6]:
Zp := [0,3/6,1/6,0,1/6,1/6,0]:
ZZ := Matrix([Zv,Zp]):
ex111dtZ := copy(ZZ):
Do(%ex111PLS1 = SDiag(ZZ,["DarkRed",nul,solid,1])):
end use;
Note que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiWkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\251 o n\303\272mero de consoantes na palavra.use DocumentTools in
Wv := [0,1,2,3,4,5,6]:
Wp := [4/6,2/6,0,0,0,0]:
WW := Matrix([Wv,Wp]):
ex111dtW := copy(WW):
Do(%ex111PLS1 = SDiag(WW,["DarkRed",nul,solid,1])):
end use; use DocumentTools in
probtab11 := Matrix([[0,1,2,3,4,5,6],[4/6,2/6,0,0,0,0]]):
ex11dtiv := copy(probtab11):
Do(%ex11TAR1 = evalf(VaMean(probtab11),3)):
Do(%ex11TAR2 = evalf(VaVariance(probtab11),3)):
end use;
Desenhamos 2 bolas em uma urna contendo 3 bolas numeradas 1,2,3: notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= a soma dos n\303\272meros que apareceram.
Determine a lei e a fun\303\247\303\243o de distribui\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RIn5GJ0YyL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZPRjIvJStleGVjdXRhYmxlR0ZARjw= nos seguintes casos:(i) empate com desconto (ii) empate sem desconto<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.2.1</Font></Text-field>Por raz\303\265es de conveni\303\252ncia, fazemos uma tabela com os mesmos valores para os quatro VAs, mesmo que isso signifique fornecer probabilidades zero a determinados valores.use DocumentTools in
Xv := [2,3,4,5,6]:
Xp := [1/9,2/9,3/9,2/9,1/9]:
XX := Matrix([Xv,Xp]):
Xf := Matrix([SRep(XX)]):
ex121dti1 := copy(XX):
ex121dti2 := copy(Xf):
end use;
O universo \303\251 o conjunto de su\303\255tes com repeti\303\247\303\243o de 2 de 3 : 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 , \303\251quiprobabilidade.Lei.Fun\303\247\303\243o de distribui\303\247\303\243o.use DocumentTools in
Xv := [2,3,4,5,6]:
Xp := [0,1/3,1/3,1/3,0]:
XX := Matrix([Xv,Xp]):
Xf := Matrix([SRep(XX)]):
ex121dtii1 := copy(XX):
ex121dtii2 := copy(Xf):
end use; O universo \303\251 o conjunto de seq\303\274\303\252ncias sem repeti\303\247\303\243o de 2 entre 3 : 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 , \303\251quiprobabilidade.Lei.Fun\303\247\303\243o de distribui\303\247\303\243o.<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.2.1</Font></Text-field>
<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font foreground="[153,51,102]" encoding="UTF-8" italic="false">1.3. Experan\303\247a</Font></Text-field><Text-field style="Heading 4" bold="true" foreground="[153,51,102]" italic="false" layout="Heading 4"><Font bold="true" foreground="[153,51,102]" italic="false">Ex 1.3.1 : <Font encoding="UTF-8">N\303\272mero de sucessos em um teste repetido de forma n\303\243o independente</Font></Font></Text-field>
1. Em uma loteria, existem 3 n\303\272meros vencedores entre os 5 colocados em jogo: empatamos 3 n\303\272meros sem desconto e observamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de n\303\272meros vencedores obtidos.
Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.2. Um grupo de 10 pessoas \303\251 composto por 4 homens e 6 mulheres e 5 pessoas s\303\243o escolhidas aleatoriamente: observamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de homens e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o das mulheres.
Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.3.1</Font></Text-field>use DocumentTools in
prX := k -> (binomial(3,k)*binomial(2,3-k))/binomial(5,3):
Xv := [seq(k,k=1..3)]:
Xp := [seq(prX(x),x in Xv)]:
XX := Matrix([Xv,Xp]):
ex131dt1X := copy(XX):
Do(%ex131TAR1XE = SMean(XX)):
end use;
Lei.Uma \303\241rvore de probabilidade pode fazer o truque, mas \303\251 mais eficiente raciocinar por equiprobabilidade.O universo \303\251 o conjunto de combina\303\247\303\265es de 3 entre 5 : 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 .Para contar o 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 come\303\247amos escolhendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= n\303\272meros vencedores entre 3, em seguida, o 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 n\303\272meros n\303\243o vencedores entre 2: 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 ent\303\243oLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2KlEjcHJGJy8lJXNpemVHUSMxMEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSShtZmVuY2VkR0YkNictRiM2KS1GLDYoUSJYRidGLy9GNkY0RjhGOy9GPlEnaXRhbGljRictSSNtb0dGJDYwUSI9RidGL0Y4RjsvRj5RJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGXW8tRiw2KFEia0YnRi9GSkY4RjtGS0YvRjhGO0ZRRi9GOEY7RlFGTS1GIzYoLUYsNiNRIUYnLUkmbWZyYWNHRiQ2KS1GIzYrLUZDNiktRiM2JS1GaW82KS1GIzYqLUkjbW5HRiQ2J1EiM0YnRi9GOEY7RlFGL0ZKRjhGOy8lLHBsYWNlaG9sZGVyR0Y0LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y0RkstRiM2KUZgb0YvRkpGOEY7RmlwRksvJS5saW5ldGhpY2tuZXNzR1EiMEYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmRxLyUpYmV2ZWxsZWRHRjdGOEY7RlFGL0Y4RjtGUS9JK21zZW1hbnRpY3NHRiRRKWJpbm9taWFsRidGaXEtRk42MFEoJnRpbWVzO0YnRi9GOEY7RlFGU0ZVRldGWUZlbkZnbkZpbi9GXG9RLDAuMjIyMjIyMmVtRicvRl9vRmByLUYjNihGZW8tRkM2KS1GIzYlLUZpbzYpLUYjNiotRmZwNidRIjJGJ0YvRjhGO0ZRRi9GSkY4RjtGaXBGW3FGSy1GIzYrRmVwLUZONjBRKCZtaW51cztGJ0YvRjhGO0ZRRlNGVUZXRllGZW5GZ25GaW5GX3JGYXJGYG9GL0ZKRjhGO0ZpcEZLRl9xRmJxRmVxRmdxRjhGO0ZRRi9GOEY7RlFGaXFGaXFGL0Y4RjtGUUZlb0YvRkpGOEY7RkstRiM2KkZlby1GIzYoRmVvLUZDNiktRiM2JS1GaW82KS1GIzYqLUZmcDYnUSI1RidGL0Y4RjtGUUYvRkpGOEY7RmlwRltxRkstRiM2KUZlcEYvRkpGOEY7RmlwRktGX3FGYnFGZXFGZ3FGOEY7RlFGL0Y4RjtGUUZpcUZpcUYvRjhGO0ZRRmVvRi9GSkY4RjtGSy9GYHFRIjFGJ0ZicUZlcUZncUY4Ri9GOEY7RlFGZW9GL0Y4RjtGUQ== para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUkjbW5HRiQ2J1EiMUYnRi9GNUY4RkItRj82MFEiLEYnRi9GNUY4RkJGRC9GR0Y0RkhGSkZMRk5GUC9GU1EmMC4wZW1GJy9GVlEsMC4zMzMzMzMzZW1GJy1GWDYnUSIyRidGL0Y1RjhGQkZlbi1GWDYnUSIzRidGL0Y1RjhGQkYvRjVGOEZC .Experan\303\247a.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use DocumentTools in
prX := k -> (binomial(4,k)*binomial(6,5-k))/binomial(10,5):
prY := k -> prX(5-k):
XYv := [seq(k,k=0..5)]:
Xp := [seq(prX(x),x in XYv)]:
Yp := [seq(prY(y),y in XYv)]:
XY := Matrix([XYv,Xp,Yp]):
XX := Transpose(Matrix([Column(Transpose(XY),[1,2])])):
YY := Transpose(Matrix([Column(Transpose(XY),[1,3])])):
ex131dt2XY := copy(XY):
Do(%ex131TAR2XE = SMean(XX)):
Do(%ex131TAR2YE = SMean(YY)):
end use;
Por raz\303\265es de conveni\303\252ncia, criamos uma tabela com os mesmos valores para os dois VAs, mesmo que isso signifique fornecer probabilidades zero a determinados valores.Leis.Uma \303\241rvore de probabilidade pode fazer o truque, mas \303\251 mais eficiente raciocinar por equiprobabilidade.O universo \303\251 o conjunto de combina\303\247\303\265es de 5 entre 10 : 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 .Para contar o evento 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 come\303\247amos escolhendo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= n\303\272meros vencedores entre 3, em seguida, o 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 n\303\272meros n\303\243o vencedores entre 2: 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 ent\303\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 para 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 .Temos 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 ent\303\243o 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 para 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 .Experan\303\247a.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<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.3.1</Font></Text-field>
<Text-field style="Heading 3" foreground="[153,51,102]" italic="false" size="12" layout="Heading 3"><Font size="12" foreground="[153,51,102]" italic="false">Ex 1.3.2 : Tempo de espera para o sucesso</Font></Text-field>
Jogamos uma moeda LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiM0YnRjJGNUY/RjJGNUY/vezes: a probabilidade de PILE \303\251 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em cada lan\303\247amento. N\303\263s notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o tempo de espera para a primeira BATERIA, com 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 se n\303\243o houver BATERIA LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= lances.Determine a lei e a experan\303\247a de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= .<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.3.2</Font></Text-field>use DocumentTools in
Tv := [seq(k,k=1..4)]:
Tp := [seq((1/3)*(2/3)^(k-1),k=1..3),(2/3)^3]:
TT := Matrix([Tv,Tp]):
ex132dtT := copy(TT):
Do(%ex132TARTE = SMean(TT)):
end use;
Lei.N\303\263s tratamos o caso LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= arbitr\303\241rio e escolhe-se um universo adaptado ao problema: 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 : os eventos 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 s\303\243o ent\303\243o os eventos elementares do universo.
N\303\243o h\303\241 equiprobabilidade, mas a independ\303\252ncia dos arremessos permite 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Para 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 ent\303\243o n\303\263s temos a mesaExperan\303\247a.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<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.3.2</Font></Text-field>
Em uma popula\303\247\303\243o grande, uma doen\303\247a afeta todos os indiv\303\255duos com probabilidade LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EicUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEkMC4yRidGMkY1Rj9GMkY1Rj8= . Queremos detectar esta doen\303\247a usando um exame de sangue e temos a escolha entre duas estrat\303\251gias:
- fa\303\247a uma an\303\241lise individual de cada indiv\303\255duo
- agrupar amostras de sangue de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= pessoas e analisar esta amostra; se o teste for negativo, significa que o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= os indiv\303\255duos s\303\243o saud\303\241veis, caso contr\303\241rio, uma an\303\241lise individual \303\251 repetida para detectar o (s) indiv\303\255duo (s) doente (s).N\303\263s notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2JVEiMUYnRjUvRjlRJ25vcm1hbEYnRjJGNS8lLHBsYWNlaG9sZGVyR0Y0RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RkE= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2JVEiMkYnRjUvRjlRJ25vcm1hbEYnRjJGNS8lLHBsYWNlaG9sZGVyR0Y0RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RkE= o n\303\272mero de an\303\241lises por indiv\303\255duo durante a primeira e a segunda estrat\303\251gia.1. Determine a lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIxRidGNUY4L0Y8USdub3JtYWxGJ0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGSEZE e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktSSNtbkdGJDYmUSIyRidGNUY4L0Y8USdub3JtYWxGJ0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y0LyUwZm9udF9zdHlsZV9uYW1lR1ElVGV4dEYnRjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGSEZE bem como a sua esperan\303\247a.2. Calcule a experan\303\247a de 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 e dar uma condi\303\247\303\243o em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= para que essa esperan\303\247a seja positiva.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.3.3</Font></Text-field>N\303\263s colocamos 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.use DocumentTools in
p0 := parse(GetProperty(ex133TARp,'value')):
f0 := r -> r^(-1/r):
G1 := nw_curvcar([f0,[0.1,17]],[blue,0,solid,1]):
G2 := nw_line([<0,p0>,<17,p0>],[red,nul,dot,0]):
G0 := display([G1,G2],scaling=unconstrained, view=[0..17,0..1], axes=normal):
Do(%ex133PLSG = display(G0)):
end use;
1. Temos 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 ent\303\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 .Temos 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 , 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 ent\303\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 .2. 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 .Temos 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 se 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 : a curva abaixo mostra que 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 .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Ig==<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.3.3</Font></Text-field>
1. Consideramos o todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUYvNiZRIm5GJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= das permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUYvNiZRIm5GJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic=quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiNUYnRjJGNUY/RjJGNUY/ : escolhemos aleatoriamente uma permuta\303\247\303\243o e observamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de seus pontos fixos.
Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.NB : Lembre-se de que o n\303\272mero de permuta\303\247\303\265es sem pontos fixos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiktRi82J1EibkYnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNC8lMGZvbnRfc3R5bGVfbmFtZUdRJVRleHRGJ0Y7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMkY1RjhGRUY7 \303\251 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 .2. Para testar as habilidades de um aluno, oferecemos a ele um MCQ composto por 5 perguntas e 5 respostas em ordem aleat\303\263ria: o aluno \303\251 solicitado a associar uma resposta a cada pergunta e observamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EifkYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiNRIUYnRjJGNUY/ o n\303\272mero de boas associa\303\247\303\265es.
(i) Suponha que o aluno responda aleatoriamente. Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= .(ii) Assumimos que o aluno d\303\252 3 boas associa\303\247\303\265es. Calcule a probabilidade de obter um resultado pelo menos t\303\243o bom de forma aleat\303\263ria.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.3.4</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI=use DocumentTools in
n0 := parse(GetProperty(ex134TARn,'value')):
f0 := r -> (1/r!)*add(((-1)^k)/k!,k=0..n0-r):
Sv := [seq(k,k=0..n0)]:
Sp := [seq(f0(k),k=0..n0)]:
SS := Matrix([Sv,Sp]):
ex134dt1S := copy(SS):
Do(%ex134TAR1SE = SMean(SS)):
end use;
Lei.O universo \303\251 o todo \316\251 de permuta\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn : 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 , equiprobabilidade.\303\211 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= uma parti \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= el\303\251mentos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYpLUYvNihRIm5GJ0YyRjVGOEY7Rj5GMkY1RjhGOy8lLHBsYWNlaG9sZGVyR0Y3Rj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjhGOy9GP1Enbm9ybWFsRic= : Ha sim 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 permuta\303\247\303\265es LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEic0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= para os quais todos os pontos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= s\303\243o fixos e nenhum ponto de 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 n\303\243o s\303\243o. H\303\241 sim 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 maneira de escolher essa parte LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= ent\303\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para 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 .Para o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= sespecificado, obtemos a seguinte tabela:Experan\303\247a.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 1.use DocumentTools in
n0 := parse(GetProperty(ex134TARn,'value')):
p0 := parse(GetProperty(ex134TARp,'value')):
f0 := r -> (1/r!)*add(((-1)^k)/k!,k=0..n0-r):
Do(%ex134TAR2iiX = evalf(add(f0(k),k=p0..n0),3)):
end use;
A probabilidade procurada \303\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<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.3.4</Font></Text-field>
Consideramos um VA uniforme que leva os valores 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 .1. Calcule a experan\303\247a de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.2. D\303\251termine a lei de 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 depois calcule sua expectativa.3. D\303\251termine a lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2J1EiWkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiMkYnRjJGNUY/LUY8Ni9RIn5GJ0YyRjVGP0ZBRkNGRUZHRklGS0ZNL0ZQUSYwLjBlbUYnL0ZTRmZuLUYsNidRIlhGJ0YvRjJGNUY4LUY8Ni9RKCZtaW51cztGJ0YyRjVGP0ZBRkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnL0ZTRl9vLUZVNiZRIjNGJ0YyRjVGP0YyRjVGPw== depois calcule sua expectativa.4. D\303\251termine a lei de 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 depois calcule sua experan\303\247a.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 1.4.1</Font></Text-field>use DocumentTools in
Xv := [seq(k,k=1..5)]:
Xp := [seq(1/5,k=1..5)]:
XX := Matrix([Xv,Xp]):
muX := SMean(XX):
ex141dtX := copy(XX):
Do(%ex141TARXE = muX):
end use;
A lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiWEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= \303\251 dado pela seguinte tabela: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.use DocumentTools in
Yv := [seq(k^2,k=1..5)]:
Yp := [seq(1/5,k=1..5)]:
YY := Matrix([Yv,Yp]):
muY := SMean(YY):
ex141dtY := copy(YY):
Do(%ex141TARYE = muY):
end use;
A lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiWUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= \303\251 dado pela seguinte tabela: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.use DocumentTools in
Zv := [seq(2*k-3,k=1..5)]:
Zp := [seq(1/5,k=1..5)]:
ZZ := Matrix([Zv,Zp]):
muZ := SMean(ZZ):
ex141dtZ := copy(ZZ):
Do(%ex141TARZE = muZ):
end use;
a lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiWkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= \303\251 dado pela seguinte tabela: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.use DocumentTools in
Uv := [seq((2*k-3)^2,k=2..5)]:
Up := [2/5,seq(1/5,k=3..5)]:
UU := Matrix([Uv,Up]):
muU := SMean(UU):
ex141dtU := copy(UU):
Do(%ex141TARUE = muU):
end use;
A lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiVUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= \303\251 dado pela seguinte tabela:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2KlEiRUYnLyUlc2l6ZUdRIzEwRicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdGNy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGPy1JKG1mZW5jZWRHRiQ2Jy1GIzYlLUYsNihRIlVGJ0YvL0Y2RjRGOEY7L0Y+USdpdGFsaWNGJ0Y7L0Y+USdub3JtYWxGJ0YvRjhGO0ZNLUkjbW9HRiQ2MFEiPUYnRi9GOEY7Rk0vJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zdby1JJm1mcmFjR0YkNiktSSNtbkdGJDYnUSIxRidGL0Y4RjtGTS1GIzYoLUZkbzYnUSI1RidGL0Y4RjtGTUYvRkpGOEY7RksvJS5saW5ldGhpY2tuZXNzR0Zmby8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZgcC8lKWJldmVsbGVkR0Y3RjgtRlA2LlEoJnRpbWVzO0YnRjtGTUZTRlVGV0ZZRmVuRmduRmluL0Zcb1EsMC4yMjIyMjIyZW1GJy9GX29GaXAtRkM2JS1GIzYtLUZkbzYlRmZvRjtGTS1GUDYuUSIrRidGO0ZNRlNGVUZXRllGZW5GZ25GaW5GaHBGanAtRmRvNiVRIjJGJ0Y7Rk1GYXEtRmRvNiVRIjNGJ0Y7Rk1GYXEtRmRvNiVRIjRGJ0Y7Rk1GYXEtRmRvNiVGW3BGO0ZNRjtGTUY7Rk0tRlA2LkZSRjtGTUZTRlVGV0ZZRmVuRmduRmluRltvRl5vRjtGTQ==.<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 1.4.1</Font></Text-field>
1. Jogamos uma moeda que \303\251 igualmente prov\303\241vel 4 vezes independente e anotamos em ordem a apar\303\252ncia de PILE ou FACE: notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de BATERIAS que apareceram.
Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.2. Desenhamos 4 bolas com desconto em uma urna que cont\303\251m 2 bolas vermelhas e uma bola preta: notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de bolas vermelhas obtidas.
Determine a lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 2.1</Font></Text-field>use DocumentTools in
prX := r -> binomial(4,r)*(1/2)^4:
Xv := [seq(k,k=0..4)]:
Xp := [seq(prX(k),k=0..4)]:
XX := Matrix([Xv,Xp]):
ex21dt1X := copy(XX):
end use;
Lei.Usamos a independ\303\252ncia dos arremessos.O evento 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 consiste em su\303\255tes que incluem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= PILE ( e ent\303\243o 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 FACE ) : Ha sim LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNigtRiM2JC1JJm1mcmFjR0YkNiktRiM2KS1JI21uR0YkNiZRIjRGJy8lJXNpemVHUSMxMEYnLyUrZm9yZWdyb3VuZEdRKVswLDUxLDBdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRj0vJSdpdGFsaWNHUSV0cnVlRidGQC8lLHBsYWNlaG9sZGVyR0ZILyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZIL0ZEUSdpdGFsaWNGJy1GIzYoLUYsNidRImtGJ0Y9RkZGQEZNRj1GRkZARklGTS8lLmxpbmV0aGlja25lc3NHUSIwRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGWS8lKWJldmVsbGVkR1EmZmFsc2VGJ0ZARkNGPUZARkMvSSttc2VtYW50aWNzR0YkUSliaW5vbWlhbEYnRmluRj1GQEZD .Cada jogada de 4 tem a probabilidade 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 ent\303\243oLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2KlEjcHJGJy8lJXNpemVHUSMxMEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSShtZmVuY2VkR0YkNictRiM2KS1GLDYoUSJYRidGLy9GNkY0RjhGOy9GPlEnaXRhbGljRictSSNtb0dGJDYwUSI9RidGL0Y4RjsvRj5RJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGXW8tRiw2KFEia0YnRi9GSkY4RjtGS0YvRjhGO0ZRRi9GOEY7RlFGTS1GQzYpLUYjNiUtSSZtZnJhY0dGJDYpLUYjNigtSSNtbkdGJDYnUSI0RidGL0Y4RjtGUUYvRjhGOy8lMGZvbnRfc3R5bGVfbmFtZUdRJVRleHRGJ0ZRLUYjNihGYG9GL0Y4RjtGYHBGUS8lLmxpbmV0aGlja25lc3NHUSIwRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGanAvJSliZXZlbGxlZEdGN0Y4RjtGUUYvRjhGO0ZRL0krbXNlbWFudGljc0dGJFEpYmlub21pYWxGJ0ZfcS1GTjYwUSgmdGltZXM7RidGL0Y4RjtGUUZTRlVGV0ZZRmVuRmduRmluL0Zcb1EsMC4yMjIyMjIyZW1GJy9GX29GZnEtRiM2Jy1GQzYnLUYjNictRmhvNiktRl1wNidRIjFGJ0YvRjhGO0ZRLUYjNictRl1wNidRIjJGJ0YvRjhGO0ZRRi9GOEY7RlEvRmZwRmJyRmhwRltxRl1xRjhGL0Y4RjtGUUYvRjhGO0ZRRi9GOEY7RlEtSSVtc3VwR0YkNiUtRiw2I1EhRictRiM2J0ZccEYvRjhGO0ZRLyUxc3VwZXJzY3JpcHRzaGlmdEdGZ3BGL0Y4RjtGUQ== para 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 .Obtemos assim a tabelaExperan\303\247a.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.use DocumentTools in
prX := r -> binomial(4,r)*((2/3)^r)*((1/3)^(4-r)):
Xv := [seq(k,k=0..4)]:
Xp := [seq(prX(k),k=0..4)]:
XX := Matrix([Xv,Xp]):
ex21dt2X := copy(XX):
end use;
Lei.Usamos a independ\303\252ncia das impress\303\265es.
O evento 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 consiste em su\303\255tes que incluem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= bolas vermelhas (e, portanto, 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 bolas pretas): existem 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 .Cada sequ\303\252ncia desse tipo tem a probabilidade 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 ent\303\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 para 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 .cada 4-draw tem a 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 .Obtemos assim a tabelaExperan\303\247a.N\303\263s achamos 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.<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 2.1</Font></Text-field>
Um jogador aposta e aposta em um n\303\272mero entre 1 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiNkYnRjJGNUY/RjJGNUY/ ent\303\243o jogue LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiM0YnRjJGNUY/RjJGNUY/ ds\303\243o igualmente propensos a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= rostos : Ele ganha LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= euro se o n\303\272mero escolhido aparecer LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= vezes e perde 1 euro se o n\303\272mero n\303\243o aparecer. N\303\263s notamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de vezes que o n\303\272mero escolhido aparece e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o ganho do jogador.
Determine a lei e a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 2.2</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI= et LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI= .use DocumentTools in
n0 := parse(GetProperty(ex22TARn,'value')):
p0 := parse(GetProperty(ex22TARp,'value')):
prX := r -> binomial(n0,r)*((1/p0)^r)*((1-1/p0)^(n0-r)):
Xv := [seq(k,k=0..n0)]:
Xp := [seq(prX(k),k=0..n0)]:
Gv := [-1,seq(k,k=1..n0)]:
Gp := [seq(prX(k),k=0..n0)]:
XX := Matrix([Xv,Xp]):
GG := Matrix([Gv,Gp]):
ex22dtX := copy(XX):
ex22dtG := copy(GG):
Do(%ex22TARGE = SMean(GG)):
Eg := r -> n0/r-(1-1/r)^n0:
pn := fsolve(Eg(r)=0,r,1..3*n0):
G0 := plot(Eg(p),p=1..3*n0):
Do(%ex22TARGp = evalf(pn,3)):
Do(%ex22PLSG = display(G0, scaling=unconstrained, view=default, axes=normal)):
end use;
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Leis de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiWEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjQvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGN0Y6L0Y+USdub3JtYWxGJw== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiR0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjQvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGN0Y6L0Y+USdub3JtYWxGJw==.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiWEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= pode levar os valores LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbW5HRiQ2J1EiMEYnLyUlc2l6ZUdRIzEwRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNjBRIn5GJ0YvRjJGNUY4LyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTy1GPDYwUSIsRidGL0YyRjVGOEY/L0ZCUSV0cnVlRidGQ0ZFRkdGSUZLRk0vRlFRLDAuMzMzMzMzM2VtRidGOy1GLDYnUSIxRidGL0YyRjVGOEY7RlJGOy1GPDYwUSgmY3Rkb3Q7RidGL0YyRjVGOEY/RkFGQ0ZFRkdGSUZLRk1GUEY7RlJGOy1JI21pR0YkNihRIm5GJ0YvLyUnaXRhbGljR0ZWRjJGNS9GOVEnaXRhbGljRidGL0YyRjVGOA== com as 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 .Pegamos a mesaLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiR0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= que vale LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2MFEqJnVtaW51czA7RicvJSVzaXplR1EjMTBGJy8lK2ZvcmVncm91bmRHUSlbMCw1MSwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSy1JI21uR0YkNidRIjFGJ0YvRjJGNUY4Ri9GMkY1Rjg= se 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 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEiR0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNihRIlhGJ0YvRjJGNUY4RjtGL0Y1RjhGQg== caso contr\303\241rio: ent\303\243o 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 e 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 se 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 ,Para os LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= acima disso, d\303\241 a tabelaExperan\303\247a de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KVEiR0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjQvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGN0Y6L0Y+USdub3JtYWxGJw==.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 .Para os LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= acima d\303\241 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.Temos 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 se 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 : para o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= acima do gr\303\241fico de 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 \303\251 o pr\303\263ximo e 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.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Ig==Quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= \303\251 grande n\303\263s temos 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 ent\303\243o 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 .<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 2.2</Font></Text-field>
Um QCM comporta LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= quest\303\265es e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiNEYnRjJGNUY/RjJGNUY/ respostas por pergunta: existe apenas uma resposta correta por pergunta e uma nota +1 \303\251 concedida se a resposta estiver correta, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2L1EqJnVtaW51czA7RicvJStmb3JlZ3JvdW5kR1EtWzE1Myw1MSwxMDJdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZILUkjbWlHRiQ2J1EnJiM5NDU7RicvJSdpdGFsaWNHRjRGL0YyRjVGL0YyRjU= se a resposta estiver errada. Um aluno responde aleatoriamente e independentemente a cada pergunta.
1. Observamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUYvNiZRImtGJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= a vari\303\241vel indicadora do evento "a resposta LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= \303\251 bom "e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1Eia0YnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== a nota da resposta LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= . Expresse LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1Eia0YnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== como uma fun\303\247\303\243o afim de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1Eia0YnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== e determine a lei e experan\303\247a de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1Eia0YnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== .2. N\303\263s temos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= o n\303\272mero de respostas corretas e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= a classifica\303\247\303\243o geral.
Determine a expectativa de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiWEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= ent\303\243o o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic=. Deduzir os valores de \316\261 necess\303\241rio penalizar respostas aleat\303\263rias.<Text-field style="Heading 4" foreground="[0,51,0]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" bold="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o 2.3</Font></Text-field>Queremos obter uma fun\303\247\303\243o afim 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 ; n\303\263s determinamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= resolvendo o seguinte sistema:- 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 ent\303\243o 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- 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 ent\303\243o 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N\303\263s 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 .Lei.Temosexper LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbWlHRiQ2KlEjcHJGJy8lJXNpemVHUSMxMEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSShtZmVuY2VkR0YkNictRiM2KS1JJW1zdWJHRiQ2JS1GLDYoUSJORidGLy9GNkY0RjhGOy9GPlEnaXRhbGljRictRiM2Jy1GLDYoUSJrRidGL0ZNRjhGO0ZORi9GOEY7L0Y+USdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2MFEiPUYnRi9GOEY7RlUvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zoby1JI21uR0YkNidRIjFGJ0YvRjhGO0ZVRi9GOEY7RlVGL0Y4RjtGVS1GZW42MkZnbkYvRjJGOEY7Rj1GQEZobkZqbkZcb0Zeb0Zgb0Zib0Zkb0Zmb0Zpby1GZW42MlEifkYnRi9GMkY4RjtGPUZARmhuRmpuRlxvRl5vRmBvRmJvRmRvL0Znb1EmMC4wZW1GJy9Gam9GZXBGKy1GQzYnLUYjNiktRkg2JS1GLDYoUSJYRidGL0ZNRjhGO0ZORlBGV0ZaRltwRi9GOEY7RlVGL0Y4RjtGVUZaLUkmbWZyYWNHRiQ2KUZbcC1GIzYoLUYsNihRInBGJ0YvRk1GOEY7Rk5GL0ZNRjhGO0ZOLyUubGluZXRoaWNrbmVzc0dGXnAvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGXHIvJSliZXZlbGxlZEdGN0Y4Ri9GOEY7RlU= e 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 .Experan\303\247a.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 ent\303\243o 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 .Temos 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 ent\303\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 .Temos 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 ent\303\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 .Ent\303\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 .<Text-field style="Heading 4" underline="true" bold="true" foreground="[102,102,153]" italic="false" size="10" layout="Heading 4"><Font size="10" underline="true" foreground="[192,192,192]" bold="true" encoding="UTF-8" italic="false">Gr\303\241fico 2.3</Font></Text-field>
Todos os anos para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1EiPUYnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEkMTAwRidGMkY1Rj9GMkY1Rj8=na temperatura de um local: assume-se que essas temperaturas formam uma sequ\303\252ncia sem repetir LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= elementos tirados em um conjunto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1EibkYnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRi82I1EhRidGNUY4L0Y8USdub3JtYWxGJw== (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 e fazemos uma hip\303\263tese de equiprobabilidade.1. Temos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNigtRi82J1Eia0YnRjJGNUY4RjtGMkY1RjgvJSxwbGFjZWhvbGRlckdGNEY7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNUY4L0Y8USdub3JtYWxGJw== a vari\303\241vel indicadora do evento "houve recorde no ano LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1Eia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= ". Calcule 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 e mostre que as vari\303\241veis LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82J1EiaUYnRjJGNUY4RjtGOC9GPFEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGQw== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRi82J1EiakYnRjJGNUY4RjtGOC9GPFEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RjhGQw== s\303\243o independentes se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EiaUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1ElJm5lO0YnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNidRImpGJ0YvRjJGNUY4RjJGNUY/ .2. Temos 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 . Diga o que representa LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUYvNiZRInBGJ0YyRjVGOEYyRjUvJSxwbGFjZWhvbGRlckdGNEY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGNS9GOVEnbm9ybWFsRic= em rela\303\247\303\243o ao problema e calcular sua expectativa.<Text-field style="Heading 3" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o E1</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI= (valor mut\303\241vel).Lei de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEiUkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KS1GLzYoUSJrRidGMkY1RjhGOkY9RjJGNUY4RjovJSxwbGFjZWhvbGRlckdGN0Y9LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMkY4RjovRj5RJ25vcm1hbEYn .O universo \303\251 a priori o todo \316\251 suites sem repeti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= mas para lidar com o evento 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 termos de classifica\303\247\303\243o superiores a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= s\303\243o sem influ\303\252ncia: portanto, nos restringimos ao universo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEnJiM5Mzc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2KC1GLzYnUSJrRidGMi9GNkY9RjgvRj9RJ2l0YWxpY0YnRjJGRkY4LyUscGxhY2Vob2xkZXJHRj1GRy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjJGOEY+ suites sem repeti\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= .Em cada parte LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYjUSFGJ0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn \303\240 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= elementos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiRUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYnUSJuRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn n\303\263s associamos a parte de forma bijetiva LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiU0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYnUSJBRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2KFEnJiM5Mzc7RicvJSVzaXplR1EjMTBGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2KC1GLzYnUSJrRidGMi9GNkY9RjgvRj9RJ2l0YWxpY0YnRjJGRkY4LyUscGxhY2Vob2xkZXJHRj1GRy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjJGOEY+ feito de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIiFGJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjExMTExMTFlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI= seq\303\274\303\252ncias sem repeti\303\247\303\243o formadas a partir dos elementos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic=Entre as su\303\255tes de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiU0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYnUSJBRidGMkY1RjhGO0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn ha sim 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 seq\303\274\303\252ncias sem repeti\303\247\303\243o que terminam com o maior elemento de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYjUSFGJ0YyRjVGOC8lLHBsYWNlaG9sZGVyR0Y3RjsvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YyRjgvRjxRJ25vcm1hbEYn : ent\303\243oLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUkjbWlHRiQ2KlEjcHJGJy8lJXNpemVHUSMxMEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHRjcvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRj8tSSNtb0dGJDYwUSIoRidGL0Y4RjsvRj5RJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGWC1JJW1zdWJHRiQ2JS1GLDYoUSJSRidGLy9GNkY0RjhGOy9GPlEnaXRhbGljRictRiM2KS1GLDYoUSJrRidGL0Zbb0Y4RjtGXG9GL0Zbb0Y4RjsvJSxwbGFjZWhvbGRlckdGNEZcby8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUZDNjBRIj1GJ0YvRjhGO0ZGL0ZJRjdGSi9GTUY3Rk5GUEZSRlQvRldRLDAuMjc3Nzc3OGVtRicvRlpGXnAtSSNtbkdGJDYnUSIxRidGL0Y4RjtGRi1GQzYwUSJ+RidGL0Y4RjtGRkZbcEZKRlxwRk5GUEZSRlQvRldRJjAuMGVtRicvRlpGaHAtRkM2MFEifGdyRidGL0Y4RjtGRkZbcEZKRkxGTkZQRlJGVC9GV1EsMC4xMTExMTExZW1GJy9GWkZecUZkcC1GZm42JS1GLDYoUSJTRidGL0Zbb0Y4RjtGXG8tRiM2KC1GLDYoUSJBRidGL0Zbb0Y4RjtGXG9GL0Y4RjsvJTBmb250X3N0eWxlX25hbWVHUSVUZXh0RidGRkZlby1GQzYwUSIpRidGL0Y4RjtGRkZIRkpGTEZORlBGUkZURlZGWUZkcEZoby1JJm1mcmFjR0YkNiktRiM2KC1JKG1mZW5jZWRHRiQ2Jy1GIzYpRmBvLUZDNjBRKCZtaW51cztGJ0YvRjhGO0ZGRltwRkpGXHBGTkZQRlJGVC9GV1EsMC4yMjIyMjIyZW1GJy9GWkZec0ZgcEYvRjhGO0ZGRi9GOEY7RkYtRkM2MFEiIUYnRi9GOEY7RkZGW3BGSkZccEZORlBGUkZURl1xRl9xRi9GOEY7RkYtRiM2KEZgb0Zgc0YvRjhGO0ZGLyUubGluZXRoaWNrbmVzc0dGY3AvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaXMvJSliZXZlbGxlZEdGN0Y4RmhvLUZhcjYpRmBwLUYjNidGYG9GL0Y4RjtGRkZlc0Znc0Zqc0ZcdEY4Ri9GOEY7RkY=n\303\243o depende da parte LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiQUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= considerada e a f\303\263rmula de probabilidade total 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 .Na reflex\303\243o, isso parece normal: cada sequ\303\252ncia sem repeti\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEia0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= tem um m\303\241ximo \303\272nico e sua posi\303\247\303\243o \303\251 igualmente prov\303\241vel.Independ\303\252ncia de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEiUkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUYvNilRImlGJ0YyRjVGOEY6Rj1GQEYyRjhGOkY9L0ZBUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjJGOEY6Rj1GSA== e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYlLUkjbWlHRiQ2KVEiUkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYoLUYvNilRImpGJ0YyRjVGOEY6Rj1GQEYyRjhGOkY9L0ZBUSdub3JtYWxGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUYvNiNRIUYnRjJGOEY6Rj1GSA== .Se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiaUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSUmbmU7RidGL0Y1L0Y5USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtRiw2J1EiakYnRi9GMkY1RjhGNUY/ on a par exemple LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiaUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYvUSI8RidGL0Y1L0Y5USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtRiw2J1EiakYnRi9GMkY1RjhGNUY/ : como o registro da linha LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiaUYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= n\303\243o depende dos termos a seguir, n\303\243o depende do que obtemos no ranking LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EiakYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic=.use DocumentTools in
p0 := parse(GetProperty(exE1TARp,'value')):
Sp := r -> add(1/k,k=1..r):
Do(%exE1TAR2SE = evalf(Sp(p0),3)):
end use;
a vari\303\241vel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2J1EiU0YnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2KC1GLzYnUSJwRidGMkY1RjhGO0YyRjUvRjlRLFsyMDAsMCwyMDBdRicvJSxwbGFjZWhvbGRlckdGN0Y7LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGMi9GPFEnbm9ybWFsRic= representa o n\303\272mero de registros em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EicEYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNS9GOVEnbm9ybWFsRic= anos: temos 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 .N\303\263s 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
Uma part\303\255cula faz um passeio aleat\303\263rio \342\204\244 a partir de 0: pode pular de um ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjJGNS9GOVEnbm9ybWFsRic= a um ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1ElJnBtO0YnRjJGNS9GOVEnbm9ybWFsRicvJSZmZW5jZUdGNy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JlEiMUYnRjJGNUY/RjJGNUY/ com equiprobabilidade e os saltos s\303\243o independentes. N\303\263s notamos 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 a posi\303\247\303\243o da part\303\255cula ap\303\263s LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EifkYnRi9GMkY1LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JI21pR0YkNidRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJ0YvRjIvRjZRJ2l0YWxpY0YnRi9GMkY1 saltos.1. Calcule a probabilidade LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2J0YrLUklbXN1YkdGJDYlLUYsNidRJyYjOTQ1O0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUS1bMTUzLDUxLDEwMl1GJy8lK2V4ZWN1dGFibGVHRjkvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNigtRiw2J1EibkYnL0Y4USV0cnVlRidGOkY9L0ZAUSdpdGFsaWNGJ0ZHRjpGPS8lLHBsYWNlaG9sZGVyR0ZIRkkvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6Rj1GP0YrRjpGPUY/ que a part\303\255cula retorna a 0 depois LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EifkYnRi9GMkY1LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JI21pR0YkNidRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJ0YvRjIvRjZRJ2l0YWxpY0YnRi9GMkY1 sauts. Usando a f\303\263rmula de 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para dar uma aproxima\303\247\303\243o de LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2J1EoJmFscGhhO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUS1bMTUzLDUxLDEwMl1GJy8lK2V4ZWN1dGFibGVHRjEvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUklbXJvd0dGJDYmLUYsNidRIm5GJy9GMFEldHJ1ZUYnRjJGNS9GOFEnaXRhbGljRidGMkY1RjcvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJw== quando 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 .2. N\303\263s notamos 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 a vari\303\241vel indicadora do evento "a part\303\255cula retorna \303\240 origem ap\303\263s LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JlEiMkYnLyUrZm9yZWdyb3VuZEdRLVsxNTMsNTEsMTAyXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2L1EifkYnRi9GMkY1LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JI21pR0YkNidRImtGJy8lJ2l0YWxpY0dRJXRydWVGJ0YvRjIvRjZRJ2l0YWxpY0YnRi9GMkY1 saltos " 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 . (i) Diga o que representa 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 em rela\303\247\303\243o ao problema e calcular sua experan\303\247a.(ii) Calcule o limite dessa experan\303\247a quando 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 .NB : A s\303\251rie 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 converge se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2J1EnJiM5NDU7RicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EtWzE1Myw1MSwxMDJdRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYwUSI+RidGL0YyRjVGOC8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk8tSSNtbkdGJDYnUSIxRidGL0YyRjVGOEYvRjJGNUY4 .(iii) Utilize a f\303\263rmula 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( veja o cap\303\255tulo II , exerc\303\255cio E1 , (x) ) para dar uma aproxima\303\247\303\243o de 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 quando 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 .<Text-field style="Heading 3" foreground="[0,51,0]" italic="false" size="10" layout="Heading 3"><Font size="10" underline="true" foreground="[0,51,0]" encoding="UTF-8" italic="false">Solu\303\247\303\243o E2</Font></Text-field>Temos 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 se houver tantos saltos +1 como -1 saltos, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjVGOC9GPFEnbm9ybWFsRic= vezes para cada tipo de salto. Todo salto tem a probabilidade 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 e assim temos 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 ent\303\243o 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 .A f\303\263rmula de Stirling d\303\241 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 ent\303\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.use DocumentTools in
n0 := parse(GetProperty(exE2TAR2n,'value')):
alpha := r -> 2*sqrt(r/Pi):
Do(%exE2TAR2SE = evalf(alpha(n0),3)):
end use;
(i) 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 fornece o n\303\272mero de retornos para a origem.(ii) 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 .A s\303\251rie 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 diverge ent\303\243o 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 .(iii) Temos 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 ent\303\243o 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 .Para uma longa caminhada LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEibkYnLyUlc2l6ZUdRIzEwRicvJSdpdGFsaWNHUSV0cnVlRicvJStmb3JlZ3JvdW5kR1EpWzAsNTEsMF1GJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIj1GJ0YvRjVGOC9GPFEnbm9ybWFsRicvJSZmZW5jZUdGOi8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZURi9GNUY4RkI= (modific\303\241vel) obtemos em m\303\251dia retorna \303\240 origem.