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Suppose that f (x) = 0.125x for 0 < x < 4. Determine the

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 36E Chapter 4.4

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 36E

Problem 36E

Suppose that f (x) = 0.125x for 0 < x < 4. Determine the mean and variance of X.

Step-by-Step Solution:

Solution :

Step 1 of 1:

Given f (x) = 0.125 for 0 < x < 4.

Our goal is:

We need to find the mean and variance of X.

The mean  is

 or

2.6666

Therefore, the mean 2.6666.

Then the variance V(X) is

Therefore, the variance .


Step 2 of 1

Chapter 4.4, Problem 36E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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Suppose that f (x) = 0.125x for 0 < x < 4. Determine the