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Refer to Exercise 4. Assume that the cost of repairing an

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 7E Chapter 2.6

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 7E

Refer to Exercise 4. Assume that the cost of repairing an assembly whose clearance is too little is $2, and the cost of repairing an assembly whose clearance is too much is $3.

a. Express the total cost of repairs in terms of X and Y.

b. Find the mean of the total cost of repairs.

c. Find the standard deviation of the total cost of repairs.

Step-by-Step Solution:

Step 1 of 4:

Here,it is given that X be the number with too little clearance and Y be the number with too much clearance.

The cost of repairing X is $2 and cost of repairing Y is $3.

Also the joint probability mass function of X and Y is given as

                                                                      Y

         X

           0

          1

             2

           3

          0

        0.15

         0.12

          0.11

          0.10

          1

         0.09

         0.07

          0.05

           0.04

           2

         0.06

         0.05

          0.04

           0.02

           3

         0.04

         0.03

         0.02

           0.01

Using these,we have to find the required values.

Step 2 of 4:

Here we have to express the total cost of repair in terms of  X and Y.

Total cost of repair can be expressed as 2X+3Y.

Thus,total cost of repair is 2X+3Y.

Step 3 of 4

Chapter 2.6, Problem 7E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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