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The pmf of the amount of memory X (GB) in a purchased

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 29E 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 29E

The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as Compute the following: a.? ?E(X) b.? ?V(X) directly from the definition c.? he standard deviation of X d.?? (X) using the shortcut formula

Step-by-Step Solution:
Step 1 of 3

Answer: Step1: The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as x 1 2 4 8 16 p(x) 0.05 0.10 0.35 0.4 0.1 a). We have to find E(x). E(x) = x p(x) = 1×0.05+ 2 ×0.1+4 ×0.35+ 8 ×0.4+ 16 ×0.1 E(x)= 6.45 b). To find V(x). Therefore, V(x) = = E[x E(x) ]2 = (x E(x) ) p(x) 2 2 2 2 = (1-(6.45) )*0.05 + (2 (6.45) ) *.1 + (4 (6.45) ) *.35 + (8 (6.45) ) * 0.4 + (16 (6.45) * 0.1 V(x) = 15.6475 c). To find the standard deviation. Standard deviation = var(x) = 15.6475 = 3.9557 Therefore, Standard deviation = 3.9557. d). To find V(x) using the shortcut formula. V(x) = E(x ) E(x) 2 2 2 Here, E(x ) = x p (x) = 1×0.05 + 4×0.1+ 16×0.35 + 64×0.4+256×0.1 = 57.25 Therefore, V(x) = E(x ) E(x) 2 2 = 57.25 - (6.45) = 15.6475 V(x) = 15.6475.

Step 2 of 3

Chapter 3, Problem 29E 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

The full step-by-step solution to problem: 29E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: amount, compute, definition, deviation, directly. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The answer to “The pmf of the amount of memory X (GB) in a purchased flash drive was given in Example 3.13 as Compute the following: a.? ?E(X) b.? ?V(X) directly from the definition c.? he standard deviation of X d.?? (X) using the shortcut formula” is broken down into a number of easy to follow steps, and 43 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 29E from 3 chapter was answered, more than 1436 students have viewed the full step-by-step answer. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111.

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