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# Refer to Exercise 4. Assume that the cost of repairing an ISBN: 9780073401331 38

## Solution for problem 7E Chapter 2.6

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

Step 4 of 4

##### ISBN: 9780073401331

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