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), and P(BIA)= 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), and P(BIA)= 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
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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Question
![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(B| A')
Use Bayes' Theorem to find P(A|B) using the probabilities shown below.
1
P(A) = P(A) = P(B| A)= ½, and P (B| A') = 2
The probability of event A, given that event B has occurred, is P(A| B) = ☐.
(Round to the nearest thousandth as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97f31e0d-9caa-483e-a15b-ab4451530c49%2Fb340536a-e6f7-48b9-bec0-e0bb4be691b4%2Flr4po4q_processed.png&w=3840&q=75)
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(B| A')
Use Bayes' Theorem to find P(A|B) using the probabilities shown below.
1
P(A) = P(A) = P(B| A)= ½, and P (B| A') = 2
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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