Forty-two percent of a corporation’s blue-collar employees were in favor of a modified health care plan, and 22% of its blue-collar employees favored a proposal to change the work schedule. Thirty-four percent of those favoring the health care plan modification favored the work schedule change.a. What is the probability that a randomly selected blue-collar employee is in favor of both the modified health care plan and the changed work schedule?b. What is the probability that a randomly chosen blue-collar employee is in favor of at least one of the two changes?c. What is the probability that a blue-collar employee favoring the work schedule change also favors the modified health care plan?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Forty-two percent of a corporation’s blue-collar employees were in favor of a modified health care plan, and 22% of its blue-collar employees favored a proposal to change the work schedule. Thirty-four percent of those favoring the health care plan modification favored the work schedule change.
a. What is the probability that a randomly selected blue-collar employee is in favor of both the modified health care plan and the changed work schedule?
b. What is the probability that a randomly chosen blue-collar employee is in favor of at least one of the two changes?
c. What is the probability that a blue-collar employee favoring the work schedule change also favors the modified health care plan?

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