A system consists of two identical pumps, #1 and #2. If onepump fails, the system will

Chapter 2, Problem 52

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A system consists of two identical pumps, #1 and #2. If onepump fails, the system will still operate. However, becauseof the added strain, the remaining pump is now more likelyto fail than was originally the case. That is, r 5 P(#2 fails #1 fails) P(#2 fails) 5 q. If at least one pump fails by theend of the pump design life in 7% of all systems and bothpumps fail during that period in only 1%, what is the probabilitythat pump #1 will fail during the pump design life?

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