. your history teacher is giving a 10-question quiz friday. you estimate your probability of getting any particular question right is 95%. you need to answer at least 9 questions correctly to get an a on the quiz. find the probability that you get an a.

Respuesta :

the probability of getting any particular question right is 95%. Therefore, the probability of getting an A on the quiz is 0.614.

The probability of getting any particular question right is 95%. Therefore, the probability of getting any particular question wrong is 1-0.95 = 0.05.

The probability of getting 9 questions right is 0.95^9.

The probability of getting at least 9 questions right is 1 - (probability of getting 0 questions right + probability of getting 1 question right + probability of getting 2 questions right + ... + probability of getting 8 questions right)

P(A) = 1 - (0.05^0 + 0.05^1 + 0.05^2 + 0.05^3 + 0.05^4 + 0.05^5 + 0.05^6 + 0.05^7 + 0.05^8 + 0.95^9)

P(A) = 0.614

therefore, the probability of getting an A on the quiz is 0.614.

The probability of getting an A on the quiz is 1 - (probability of getting 0 to 8 questions wrong). This is because the probability of getting any particular question right is 95%. Therefore, the probability of getting an A on the quiz is 0.614.

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