Refer to Exercise 4. The total number of assemblies that

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

ISBN: 9780073401331 38

Solution for problem 5E 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 5E

Refer to Exercise 4. The total number of assemblies that fail to meet specifications is X + Y.

a. Find μX+Y.

b. Find σX+Y.

c. Find P(X + Y = 3).

REFERENCE EXERCISE 4: In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below:

a. Find the marginal probability mass function of X.

b. Find the marginal probability mass function of Y.

c. Are X and Y independent? Explain.

d. Find μX and μY.

e. Find σX and σY.

f. Find Cov(X, Y).

g. Find ρ(X, Y).

Step-by-Step Solution:

Step 1 of 4 :

Here the experiment is assembly of piston. X denotes the number with too little clearance and Y denotes the number with too much clearance.

Also,the joint probability mass of X and Y is given.

joint density.png

Using this we have to find the required values.

Step 2 of 4

Chapter 2.6, Problem 5E is Solved

Step 3 of 4

Textbook: Statistics for Engineers and Scientists

Edition: 4

Author: William Navidi

ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 5E from chapter: 2.6 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “Refer to Exercise 4. The total number of assemblies that fail to meet specifications is X + Y.a. Find ?X+Y.________________b. Find ?X+Y.________________c. Find P(X + Y = 3).REFERENCE EXERCISE 4: In a piston assembly, the specifications for the clearance between piston rings and the cylinder wall are very tight. In a lot of assemblies, let X be the number with too little clearance and let Y be the number with too much clearance. The joint probability mass function of X and Y is given in the table below: a. Find the marginal probability mass function of X.b. Find the marginal probability mass function of Y.c. Are X and Y independent? Explain.d. Find ?X and ?Y.e. Find ?X and ?Y.f. Find Cov(X, Y).g. Find ?(X, Y).” is broken down into a number of easy to follow steps, and 125 words. Since the solution to 5E from 2.6 chapter was answered, more than 1097 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Find, assemblies, fail, exercise, meet. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.