Answered: Given that P(A)P(A) = 0.49, P(B)P(B) =…

Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities: P(B∣A)P(B∣A) = P(∼A)P(∼A) = P(∼B)P(∼B) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 17E

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Question

Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities:

P(B∣A)P(B∣A) =
P(∼A)P(∼A) =
P(∼B)P(∼B) =
P(∼A∣B)P(∼A∣B) =
P(∼B∣A)P(∼B∣A) =
P(A∣∼B)P(A∣∼B) =
P(B∣∼A)P(B∣∼A) =

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