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Show that for a discrete uniform random variable X, if

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

Solution for problem 84E Chapter 3.5

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 84E Problem 84E

Show that for a discrete uniform random variable X, if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c2. That is, show that E (cX) = cE(X) and V (cX) = c2 V(X).

Step-by-Step Solution:

Solution:

Step 1 of 2:

      The aim is to show that E(cX) = cE(X) and


Step 2 of 2

Chapter 3.5, Problem 84E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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Show that for a discrete uniform random variable X, if