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Ch 3 - 38E

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

Problem 38E Chapter 3

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 38E

38E

Step-by-Step Solution:

Solution : Step 1 : It is given that the possible values of X is the number of components in a system that submitted for repair, that must be replaced. The possible values of X and their probabilities are. X P(X) 1 .15 2 .35 3 .35 4 .15 Step 2 : a) We have to find the E(X) and E(5-X) We know that 4 1) E(X)= X × P(X) x=1 = (1*.15)+(2*.35)+(3*.35)+(4*.15) = 2.5 2) Here E(a+b)= E(a)+E(b) So E(5-X)= E(5)-E(X) = 5- 2.5 = 2.5

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Chapter 3, Problem 38E 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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Ch 3 - 38E

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