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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 79e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 79e

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# Two pumps connected in parallel fail independently of one

ISBN: 9780321629111 32

## Solution for problem 79E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 79E

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)?

Step-by-Step Solution:

Answer : Step 1 : Given 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. We need to find the probability that the pumping system will fail on any given day (which happens if both pumps fail). We know that P(O)=0.10 and P(N)=0.05 Then, P(O )= P(O) - P(ON) and P(N ) = P(N) - P(OnN). where O is the event that the older pump fails and N is the event that the newer pump fails. So P(O) = P(O) + P(O N) and P(N) = P(N) + P(O N). P(O) = P(O) + P(O) P(N) P(O) = 0.10 + (0.10 × 0.05) P(O) = 0.05 + 0.005 P(O) = 0.105 And P(N) = P(N) + P(O) P(N) P(N) = 0.05 + (0.10 × 0.05) P(N) = 0.05 + 0.005 P(N) = 0.055 As the events O and N are independent. So P(O)×P(N) = 0.105 × 0.055 = 0.00577

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##### ISBN: 9780321629111

Since the solution to 79E from 2 chapter was answered, more than 578 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 79E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “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)?” is broken down into a number of easy to follow steps, and 57 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This full solution covers the following key subjects: fail, Probability, any, Pump, day. This expansive textbook survival guide covers 18 chapters, and 1582 solutions.

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