2.8 A five-motor machine can operate properly if at least three of the five motors are functioning....

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2.8 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 fXðxÞ 5 λ e2λx; λ . 0; x $ 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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