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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 12% of all systems and both pumps fail during that period in only 8%, what is the probability that pump #1 will fail during the pump design life?

math   Statistics-And-Probability   
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Answer #1

luhom = 0.12. z 0.0 4 L Because bok fump ave ide.kaly aulS 1-Jails) 0.02.

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Answer #2

ITS:

2P(A) - P(A AND B)= P(A U B)

2P(A) - 0.08 = 0.12

P(A) = 0.1

source: Webassign.net (where I do HW for my class)
answered by: Al
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