Two hundred people apply for three jobs. Forty of the applicants are women. (a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.) (b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.) (c) If three people are selected at random, what is the probability that one is a woman? (
Two hundred people apply for three jobs. Forty of the applicants are women. (a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.) (b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.) (c) If three people are selected at random, what is the probability that one is a woman? (
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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Two hundred people apply for three jobs. Forty of the applicants are women.
(a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.)
(b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.)
(c) If three people are selected at random, what is the probability that one is a woman? (Round your answer to six decimal places.)
(d) If three people are selected at random, what is the probability that none is a woman? (Round your answer to six decimal places.)
(e) If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why?
(b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.)
(c) If three people are selected at random, what is the probability that one is a woman? (Round your answer to six decimal places.)
(d) If three people are selected at random, what is the probability that none is a woman? (Round your answer to six decimal places.)
(e) If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why?
The probabilities do not indicate presence or absence of gender discrimination. For the employer to choose the most appropriate person for the job means that not all events are equally likely.Yes, the probabilities indicate the presence of gender discrimination. No, the probabilities do not indicate the presence of gender discrimination because in the hiring process all outcomes are equally likely.
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