A five motor machine can operate properly if at least three of the five motors are functioning If the lifetime X of each motor has the PDF fX(x) ex, x0, 0, and if the lifetimes of the motors are independent, what is the mean of the random variable Y, the time until the machine fails

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Question: A five-motor machine can operate properly if at least three of the five motors are functioning. If the lifetime X of each motor has the

A five-motor machine can operate properly if at least three of the five motors are functioning. If the lifetime X of each motor has the PDF fX(x) = λe−λx, x≥0,λ>0, and if the lifetimes of the motors are independent, what is the mean of the random variable Y, the time until the machine fails?

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