The foreman of the Prolab plant is responsible for 18 employees, including 10 women and 8 men. He has to recommend two people from his department to sit on the plant's safety committee. He does not want to favour any particular person, so he decides to choose these two people at random. a) How many ways can he choose these two people? b) Given that the selection is random, what is the probability of choosing any combination of two people? c) Let X denote the number of women selected in the sample. What are the possible values of this random variable? d) What is the general expression for the probability distribution of X in this context? e) What is the probability that the two people selected are both women?

The foreman of the Prolab plant is responsible for 18 employees, including 10 women and 8 men. He has to recommend two people from his department to sit on the plant's safety committee. He does not want to favour any particular person, so he decides to choose these two people at random. a) How many ways can he choose these two people? b) Given that the selection is random, what is the probability of choosing any combination of two people? c) Let X denote the number of women selected in the sample. What are the possible values of this random variable? d) What is the general expression for the probability distribution of X in this context? e) What is the probability that the two people selected are both women?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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