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Ch 3 - 32E

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 32E 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 32E

32E

Step-by-Step Solution:

Answer : Step 1 : Given certain of upright freezer is available in three different rated capacities : 3 3 3 16 ft , 168ft , 20 ft Let x = the rated capacity of freezer of this brand sold at a certain store. Suppose that pmf x p(x) 16 0.2 18 0.5 20 0.3 2 a). Now we have to compute E(X),E(X ) and V (X) So E(X) = 16 × 0.2 + 18 × 0.5 + 20 × 0.3 E(X) = 3.2 + 9 + 6 E(X)= 18.2 Then, 2 2 2 2 E(X ) = 16 × 0.2 + 18 × 0.5 + 20 × 0.3 E(X ) = 256 × 0.2 + 324 × 0.5 + 400 × 0.3 E(X ) = 51.2 + 162 + 120 2 E(X ) = 333.2 The formula of the v(x) is 2 2 V (X) = E(X ) (E(X)) 2 V (X) = 333.2 (18.2) V (X) = 333.2 (331.24) V (X) = 1.96 2 Therefore E(X) = 18.2,E(X ) = 333.2 and V (X) = 1.96

Step 2 of 4

Chapter 3, Problem 32E is Solved
Step 3 of 4

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 - 32E