Two pumps connected in parallel fail independently ofone another on any given day. The probability that onlythe older pump will fail is .10, and the probability thatonly the newer pump will fail is .05. What is the probabilitythat the pumping system will fail on any given day(which happens if both pumps fail)?

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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Two pumps connected in parallel fail independently of
one another on any given day. The probability that only
the older pump will fail is .10, and the probability that
only the newer pump will fail is .05. What is the probability
that the pumping system will fail on any given day
(which happens if both pumps fail)?

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