It is known from experience that in a certain industry 60 percent of all labor-management disputes are over wages, 15 percent are over working conditions, and 25 percent are over fringe issues. Also, 45 percent of the disputes over wages are resolved without strikes, 70 percent of the disputes over working conditions are resolved without strikes, and 40 percent of the disputes over fringe issues are resolved without strikes. What is the probability that a labor-management dispute in this industry will be resolved without a strike? (Hint: Apply the law of total probability.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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5. It is known from experience that in a certain industry 60 percent of all labor-management
disputes are over wages, 15 percent are over working conditions, and 25 percent are
over fringe issues. Also, 45 percent of the disputes over wages are resolved without
strikes, 70 percent of the disputes over working conditions are resolved without strikes,
and 40 percent of the disputes over fringe issues are resolved without strikes. What
is the probability that a labor-management dispute in this industry will be resolved
without a strike? (Hint: Apply the law of total probability.)
Transcribed Image Text:5. It is known from experience that in a certain industry 60 percent of all labor-management disputes are over wages, 15 percent are over working conditions, and 25 percent are over fringe issues. Also, 45 percent of the disputes over wages are resolved without strikes, 70 percent of the disputes over working conditions are resolved without strikes, and 40 percent of the disputes over fringe issues are resolved without strikes. What is the probability that a labor-management dispute in this industry will be resolved without a strike? (Hint: Apply the law of total probability.)
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