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Qual a probabilidade de acertar 25 em 27 questões de conhecimento específico? A probabilidade de acertar uma questão é de 1/5. A probabilidade de ...

Qual a probabilidade de acertar 25 em 27 questões de conhecimento específico?

A probabilidade de acertar uma questão é de 1/5.
A probabilidade de errar uma questão é de 4/5.

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ESTATISTICA E PROBABILIDADE APLICADA - ATIVIDADE 3
2 pág.

Engenharia Civil Universidade Anhembi MorumbiUniversidade Anhembi Morumbi

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Para calcular a probabilidade de acertar 25 em 27 questões de conhecimento específico, podemos utilizar a fórmula da distribuição binomial: P(X=k) = C(n,k) * p^k * (1-p)^(n-k) Onde: - P(X=k) é a probabilidade de acertar k questões; - C(n,k) é o número de combinações de n elementos tomados k a k; - p é a probabilidade de acertar uma questão; - (1-p) é a probabilidade de errar uma questão; - n é o número total de questões. Substituindo os valores, temos: P(X=25) = C(27,25) * (1/5)^25 * (4/5)^2 P(X=25) = 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