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Automobile engines and transmissions are produced on

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

Solution for problem 12E 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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5
Problem 12E

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:

Solution:

Step 1 of 5:

Automobile engines and transmissions are produced on assembly lines,they are inspected for defects. Those with defects are repaired. If X be the number of engines, and Y be the number of transmissions that require repairs in a one hour time interval.The joint probability of X and Y are given as

                                           Y

             X             0                       1                       2                    3                  

0

0.13

0.10

0.07

0.03

0.33

1

0.12

0.16

0.08

0.04

0.40

2

0.02

0.06

0.08

0.04

0.20

3

0.01

0.02

0.02

0.02

0.07

0.28

0.34

0.25

0.13

 We have to find

  1. The marginal probability mass function
  2.  The marginal probability mass function
  3.  
  4.  

  1.      
  2.  
  3.   cov(X,Y)
  4.    

Step 2 of 4

Chapter 2.6, Problem 12E is Solved
Step 3 of 4

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

The full step-by-step solution to problem: 12E from chapter: 2.6 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “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 ?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 89 words. This full solution covers the following key subjects: Find, mass, Probability, function, defects. 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. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 12E from 2.6 chapter was answered, more than 665 students have viewed the full step-by-step answer.

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