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# Refer to Exercise 12. Assume that the cost of an engine ISBN: 9780073401331 38

## Solution for problem 14E Chapter 2.6

Statistics for Engineers and Scientists | 4th Edition

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Problem 14E

Refer to Exercise 12. Assume that the cost of an engine repair is \$50, and the cost of a transmission repair is \$100. Let T represent the total cost of repairs during a one-hour time interval.

a. Find μT.

b. Find σT.

c. Find P(T = 250).

Exercise 12

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: a. Find the marginal probability mass function px(x).

b. Find the marginal probability mass function py(y).

c. Find μx.

d. Find μy.

e. Find σx.

f. Find σy.

g. Find Cov(X,Y).

h. Find ρx,y.

Step-by-Step Solution:
Step 1 of 3

Solution 14E

Step1 of 4:

We have the cost of an engine repair is \$50, and the cost of a transmission repair is \$100.

Let us take T it represent the total cost of repairs during a one-hour time interval.

That is y x 0 1 2 3 0 0.13 0.1 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02

Here our goal is:

a).We need to find .

b).We need to find .

c).We need to find P(T = 250).

Step2 of 4:

a).

Consider,

 y Total  x 0 1 2 3 0 0.13 0.1 0.07 0.03 0.33 1 0.12 0.16 0.08 0.04 0.4 2 0.02 0.06 0.08 0.04 0.2 3 0.01 0.02 0.02 0.02 0.07 Total 0.28 0.34 0.25 0.13 1

Where , Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “Refer to Exercise 12. Assume that the cost of an engine repair is \$50, and the cost of a transmission repair is \$100. Let T represent the total cost of repairs during a one-hour time interval.a. Find ?T.________________b. Find ?T.________________c. Find P(T = 250).Exercise 12Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: a. Find the marginal probability mass function px(x).________________b. Find the marginal probability mass function py(y).________________c. Find ?x.________________d. Find ?y.________________e. Find ?x.________________f. Find ?y.________________g. Find Cov(X,Y).________________h. Find ?x,y.” is broken down into a number of easy to follow steps, and 130 words. The full step-by-step solution to problem: 14E from chapter: 2.6 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 14E from 2.6 chapter was answered, more than 252 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Find, cost, function, mass, Probability. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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