91. Suppose two identical components are connected in parallel, so the system continues to function as long

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91. Suppose two identical components are connected in parallel, so the system continues to function as long as at least one of the components does so. The two lifetimes are independent of one another, each having an exponential distribution with mean 1000 hr.

Let W denote system lifetime. Obtain the moment generating function of W, and use it to calculate the expected lifetime.

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