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=. Compute P(Β n Α1) , P(Β n A2), and Ρ(BnA:). P(Βη Αι) = P(Bn A2) = P(Β η As) =| b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A;)P(B|A,) P(A; N B ) = P(A1)P(B|A4 )+ P(A2)P(B|A2 )+...+ P(A,)P(B|A„) c. Use the tabular approach to applying Bayes' theorem to compute P(A1|B), P(A2|B), and P(A3|B). Events P(A;) P(B|A;) P(A, N B) P(A;|B) A1 A3 Total:

=. Compute P(Β n Α1) , P(Β n A2), and Ρ(BnA:). P(Βη Αι) = P(Bn A2) = P(Β η As) =| b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A;)P(B|A,) P(A; N B ) = P(A1)P(B|A4 )+ P(A2)P(B|A2 )+...+ P(A,)P(B|A„) c. Use the tabular approach to applying Bayes' theorem to compute P(A1|B), P(A2|B), and P(A3|B). Events P(A;) P(B|A;) P(A, N B) P(A;|B) A1 A3 Total:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The prior probabilities for events A1, A2, and Az are P(A1) = 0.30, P(A2) = 0.50, and P(A3) = 0.20. The conditional probabilities of event B given A1, A2, and Az are P(B|A1) = 0.55, P(B|A2) = 0.40, and P(B|A3) = 0.25. Round your answers to two decimal places. a. Compute P(BN A1) , P(BN A2), and P(Bn A3). P(Bn A1) =| P(BN A2) = P(Bn A3) =| %3| b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A;)P(B|A;) P(A1)P(B|A, )+ P(A2)P(B|A2 )+...+ P(A,)P(B|A„) P(A; NB) = c. Use the tabular approach to applying Bayes' theorem to compute P(A1|B), P(A2|B), and P(A3|B). Events P(A;) P(B|A;) P(A; N B) P(A;|B) A1 A2 A3 Total:
Transcribed Image Text:The prior probabilities for events A1, A2, and Az are P(A1) = 0.30, P(A2) = 0.50, and P(A3) = 0.20. The conditional probabilities of event B given A1, A2, and Az are P(B|A1) = 0.55, P(B|A2) = 0.40, and P(B|A3) = 0.25. Round your answers to two decimal places. a. Compute P(BN A1) , P(BN A2), and P(Bn A3). P(Bn A1) =| P(BN A2) = P(Bn A3) =| %3| b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A;)P(B|A;) P(A1)P(B|A, )+ P(A2)P(B|A2 )+...+ P(A,)P(B|A„) P(A; NB) = c. Use the tabular approach to applying Bayes' theorem to compute P(A1|B), P(A2|B), and P(A3|B). Events P(A;) P(B|A;) P(A; N B) P(A;|B) A1 A2 A3 Total:
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