Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump will fail is 0.15, and the probability that only the newer pump will fail is 0.10. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)? (Round your answers to four decimal places.) (a) smaller answer (b) larger answer
Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump will fail is 0.15, and the probability that only the newer pump will fail is 0.10. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)? (Round your answers to four decimal places.) (a) smaller answer (b) larger answer
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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 0.15, and the probability that only the newer pump will fail is 0.10. What is the probability that the pumping system will fail on any given day (which happens if both pumps fail)? (Round your answers to four decimal places.)
(a) smaller answer
(b) larger answer
Expert Solution
Step 1
Given data
Let p be the probability that the both the pumping system will fail
Probability that the older pump will fail = 0.15 + x
Probability that the newer pump will fail = 0.10 + x
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