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known that P(A, N A2) = 0. Suppose P(B | A,) = .20 and P(B | A2) = .05. a. Are A, and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, 1 B) and P(A, I B).

known that P(A, N A2) = 0. Suppose P(B | A,) = .20 and P(B | A2) = .05. a. Are A, and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, 1 B) and P(A, I B).

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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39. The prior probabilities for events Aj and A2 are P(A,) = .40 and P(A,) = .60. It is also known that P(A, n A,) = 0. Suppose P(B | A,) = .20 and P(B \A2) = .05. a. Are A, and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, | B) and P(A, | B).
Transcribed Image Text:39. The prior probabilities for events Aj and A2 are P(A,) = .40 and P(A,) = .60. It is also known that P(A, n A,) = 0. Suppose P(B | A,) = .20 and P(B \A2) = .05. a. Are A, and A, mutually exclusive? Explain. b. Compute P(A, N B) and P(A, N B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A, | B) and P(A, | B).
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