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Determine the mean and variance of the random variable in

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

Solution for problem 60E Chapter 3.4

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 60E Problem 60E

Determine the mean and variance of the random variable in Exercise 3-18.

Step-by-Step Solution:

Answer

Step 1 of 1

(a)

We have given the probability mass function (PMF)

We are asked to find the mean and variance of the random variable.

We can form the probability mass function (PMF) table:

The mean or expected value of the discrete random variable  denote a  is

 ……….(1)

Using the PMF table, we can write the mean of a random variable,

 

Hence the mean of a random variable  is

The variance  of the discrete random variable  denote a  is

 ……….(2)

 

Hence the variance of a random variable  is


Step 2 of 1

Chapter 3.4, Problem 60E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. This full solution covers the following key subjects: determine, exercise, mean, random, variable. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. The answer to “Determine the mean and variance of the random variable in Exercise 3-18.” is broken down into a number of easy to follow steps, and 12 words. The full step-by-step solution to problem: 60E from chapter: 3.4 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. Since the solution to 60E from 3.4 chapter was answered, more than 404 students have viewed the full step-by-step answer.

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Determine the mean and variance of the random variable in