Determine the mean and variance of the random variable in Exercise 3-18.
Step 1 of 1
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
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
Hence the variance of a random variable is
Textbook: Applied Statistics and Probability for Engineers
Author: Douglas C. Montgomery, George C. Runger
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.