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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A|B)= P(A) P(BA)+P(A) P(BIA) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = P(A) = P(B| A) = ½, and P (B| A') = The probability of event A, given that event B has occurred, is P(A| B) = ☐ . (Round to the nearest thousandth as needed.)

According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A|B)= P(A) P(BA)+P(A) P(BIA) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = P(A) = P(B| A) = ½, and P (B| A') = The probability of event A, given that event B has occurred, is P(A| B) = ☐ . (Round to the nearest thousandth as needed.)

Calculus For The Life Sciences
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 46E
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According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A|B)= P(A) P(BA)+P(A) P(BIA) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = P(A) = P(B| A) = ½, and P (B| A') = The probability of event A, given that event B has occurred, is P(A| B) = ☐ . (Round to the nearest thousandth as needed.)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(BA) P(A|B)= P(A) P(BA)+P(A) P(BIA) Use Bayes' Theorem to find P(A|B) using the probabilities shown below. P(A) = P(A) = P(B| A) = ½, and P (B| A') = The probability of event A, given that event B has occurred, is P(A| B) = ☐ . (Round to the nearest thousandth as needed.)
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