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 10% of all systems and both pumps fail during that period in only 4%, what is the probability that pump #1 will fail during the pump design life?

0.07 or 7%

Step-by-step explanation:

Since both pumps are identical, it is reasonable to assume that they have the same probability of failing, that is P(#1 fails)=P(#2 fails).

The probability that at least one pump fails is:

Since both pumps fail at the same rate, the probability that pump #1 will fail during the pump design life is:

The probability is 0.07 or 7%.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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step-by-step explanation: