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Show that for any three events A, B, and C with P(C) > 0,

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 58E 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 58E

Show that for any three events ?A, B, ?and ?C ?with P(C) > 0, P(A ?B|C) = P(A|C) + P(B|C) – P(A?B|C).

Step-by-Step Solution:

Answer : Step 1 : We use formula for conditional prob and a few set operations. P(A U B|C) = P[(AUB) C] /P(C) Now to make following this easier to read and write, I will work on the numerator only. Everything is over P(C) and I'll put...

Step 2 of 3

Chapter 2, Problem 58E is Solved
Step 3 of 3

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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Show that for any three events A, B, and C with P(C) > 0,