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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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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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