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For any events A nd B with P(B)>0, show that P(A|B)+ P(A

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 56E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 56E

For any events ?A? nd ?B ?with P(B)>0, show that P(A|B)+ P(A ’|B)= 1

Step-by-Step Solution:

Answer: Step 1: For any events A and B ith P(B) > 0. To show that P(A|B)+ P(A/B) = 1. Let A be an event. Then P(A) = 1 - P(A) Therefore, P(A/B) = 1- P(A/B) P(A/B) +P(A/B) = 1

Step 2 of 1

Chapter 2, Problem 56E is Solved
Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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For any events A nd B with P(B)>0, show that P(A|B)+ P(A