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

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 remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails | #1 fails) > P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 14% of all systems and both pumps fail during that period in only 10%, what is the probability that pump #1 will fail during the pump design life?

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