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# Refer to Exercise 9.a. Find the mean of the total number

ISBN: 9780073401331 38

## Solution for problem 10E Chapter 2.6

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 10E

Refer to Exercise 9.

a. Find the mean of the total number of unacceptable bolts (those that are classified as either downgraded or scrap).

b. Find the variance of the total number of unacceptable bolts.

c. Find the probability that the total number of unacceptable bolts is exactly 5.

Step-by-Step Solution:

Answer

Step 1 of 7

Here given the information about downgraded and  scrap bolts

We need to find the mean and variances of unacceptable bolts

Let X is the no. of downgraded bolts

Let Y is the no. of scrap bolts

Total no. of unacceptable bolts= X+Y

The joint probability mass function is

 X\ Y 0 1 2 3 4 PX(X) 0 0.06 0.03 0.01 0 0 0.1 1 0.06 0.08 0.04 0.02 0 0.2 2 0.04 0.05 0.12 0.06 0.03 0.3 3 0 0.03 0.07 0.09 0.06 0.25 4 0 0 0.02 0.06 0.07 0.15 Py(Y) 0.16 0.19 0.26 0.23 0.16 1

Step 2 of 3

Step 3 of 3

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Refer to Exercise 9.a. Find the mean of the total number