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(b) Apply Bayes theorem, PA, I8) KAJP0IA,)+PA,Pte |A,) RAO TA to compute the posterior (a) Compute P(8nA). P(8nA. and P(8 A). P(8nA)- P(8 nA) = Pa n A) - () Apoly Bayes' theorem, PA, I 8)- KAJIA) PLAEIA) to compute the posterior decimal places.) () Use the tabular approach to applying Bayes' theorem to compute PA, I ). PLA, I 8), and A, I 0). (Round your an Events P(A) P(IA) PLA, n) P(A, I 8) 0.20 0.30

(b) Apply Bayes theorem, PA, I8) KAJP0IA,)+PA,Pte |A,) RAO TA to compute the posterior (a) Compute P(8nA). P(8nA. and P(8 A). P(8nA)- P(8 nA) = Pa n A) - () Apoly Bayes' theorem, PA, I 8)- KAJIA) PLAEIA) to compute the posterior decimal places.) () Use the tabular approach to applying Bayes' theorem to compute PA, I ). PLA, I 8), and A, I 0). (Round your an Events P(A) P(IA) PLA, n) P(A, I 8) 0.20 0.30

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The pror probabilities for events A Az and A, are PA)- 0.20, PLA,)-0.30, and PA)- 0.50. The conditional probabilities of event given A A and A, are P(8|A)= 0.30, P(a IA,) -0.40, and P(B | A,)- 0.20. (Assume that A. A and A, are mutualy exclusive events whose union is the entire sample space.) (a) Compute P(an A). P(BnA, and P(8n A). PLBnA) - P(8n A)- Pa nA) - (b) Apply Bayes' theorem, PA, I 8)- PLA IA) to compute the posterior prebability PA, I). Round your answer to two decimal places.) () Use the tabular approach to applying Bayes theorem to compute PA, I ). PA, I 8), and PA, I 0). (Round your answers to two decimal places.) Events P(A) P(B | A) P(A, nB) PLA, I 8) 0.20 0.30 Az 0.30 0.40 0.50 0.20 1.00 1.00
Transcribed Image Text:The pror probabilities for events A Az and A, are PA)- 0.20, PLA,)-0.30, and PA)- 0.50. The conditional probabilities of event given A A and A, are P(8|A)= 0.30, P(a IA,) -0.40, and P(B | A,)- 0.20. (Assume that A. A and A, are mutualy exclusive events whose union is the entire sample space.) (a) Compute P(an A). P(BnA, and P(8n A). PLBnA) - P(8n A)- Pa nA) - (b) Apply Bayes' theorem, PA, I 8)- PLA IA) to compute the posterior prebability PA, I). Round your answer to two decimal places.) () Use the tabular approach to applying Bayes theorem to compute PA, I ). PA, I 8), and PA, I 0). (Round your answers to two decimal places.) Events P(A) P(B | A) P(A, nB) PLA, I 8) 0.20 0.30 Az 0.30 0.40 0.50 0.20 1.00 1.00
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