The prior probabilities for events A1, A2, and A3 are P(A1) = 0.10, P(A2) = 0.60, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B|A1) = 0.50, P(B|A2) = 0.40, and Р(B Аз) 3D 0.20. Round your answers to two decimal places. a. Compute P(B n A1) , P(BN A2), and P(BN A3). P(BN A1) = 0.05 P(BN A2) = 0.24 P(BN A3) = 0.06 b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A; N B ) = P(A;)P(B|A;) P(A1)P(B|A1 )+ 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). P(A; N B) Events P(A;) P(B|A;) P(A;|B) A1 A2 Аз Total:

The prior probabilities for events A1, A2, and A3 are P(A1) = 0.10, P(A2) = 0.60, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B|A1) = 0.50, P(B|A2) = 0.40, and Р(B Аз) 3D 0.20. Round your answers to two decimal places. a. Compute P(B n A1) , P(BN A2), and P(BN A3). P(BN A1) = 0.05 P(BN A2) = 0.24 P(BN A3) = 0.06 b. Apply Bayes' theorem, to compute the posterior probability P(A2|B). P(A; N B ) = P(A;)P(B|A;) P(A1)P(B|A1 )+ 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). P(A; N B) Events P(A;) P(B|A;) P(A;|B) A1 A2 Аз Total:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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