Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 5 - Section 5.2 - Probability Distribution of a Discrete Random Variable - Exercises - Page 187: 5.13


Let N denote employees happy with their jobs, and M denote employees who are not happy with their jobs.

Work Step by Step

In a sample of two employees, the number who is happy with their jobs can be 0 (given by MM), 1 (given by NM or MN), or 2 (given by NN). Thus, x can assume any of three possible values: 0,1 and 2. The probabilities of these three outcomes are calculated as follows: P(0) = P(MM) = 0.4225 P(1) = P(MN or NM) = P(MN) + P(NM) = .2275+.2275 = .4550 P(2) = P(NN) = .4225 Using these probabilities, we can write the probability distribution of x as in the table below.
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