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A particular type of tennis racket comes in a midsize

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 54E 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 54E

A particular type of tennis racket comes in a midsize version and an oversize version. Sixty percent of all customers at a store want the oversize version.

(a) Among ten randomly selected customers who want this type of racket, what is the probability that at least six want the oversize version?

(b) Among ten randomly selected customers, what is the probability that the number who want the oversize version is within 1 standard deviation of the mean value?

(c) The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this racket can get the version they want from current stock?

Step-by-Step Solution:

Step 1 of 3

a).

Given 10 customers are selected randomly who want this type of racket.

Now we have to calculate the probability that at least six want the oversize version.

We know that 60% is the oversize version.

So  = 0.60

Then

The formula of the binomial distribution is

Then,

 

                                               

 0.2508+0.2150+0.1209+0.0403+0.0060

Therefore the probability that at least six want the oversize version is 0.6330.

Step 2 of 3

Chapter 3, Problem 54E 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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A particular type of tennis racket comes in a midsize