39. The prior probabilities for events A1 and A2 are P(A1) .40 and P(A2) .60....

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39. The prior probabilities for events A1 and A2 are P(A1)  .40 and P(A2)  .60. It is also known that P(A1  A2)  0. Suppose P(B  A1)  .20 and P(B  A2)  .05.

a. Are A1 and A2 mutually exclusive? Explain.

b. Compute P(A1  B) and P(A2  B).

c. Compute P(B).

d. Use Bayes’ theorem to compute P(A1  B) and P(A2  B).

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Essentials Of Modern Business Statistics

ISBN: 9780324312843

3rd Edition

Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

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