A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the extra remaining pump is now more likely to fail than was originally the case. That is, r =P(#2 fails | #1fails) >(P#2 fails) =q If at least one pump fails by the end of the pump design life in 9% of all systems and both pumps fail during that period in only 2%, what is the probability that pump #1 will fail during the pump design life? Also, find the value of q and r.

A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the extra remaining pump is now more likely to fail than was originally the case. That is, r =P(#2 fails | #1fails) >(P#2 fails) =q If at least one pump fails by the end of the pump design life in 9% of all systems and both pumps fail during that period in only 2%, what is the probability that pump #1 will fail during the pump design life? Also, find the value of q and r.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

100%

r =P(#2 fails | #1fails) >(P#2 fails) =q

If at least one pump fails
by the end of the pump design life in 9% of all systems and both pumps fail during that period in only
2%, what is the probability that pump #1 will fail during the pump design life? Also, find the value of q
and r.

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