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A synthetic fiber is stressed by repeatedly applying a particular load. Suppose that the number of cycles to failure has an exponential distribution with mean

A synthetic fiber is stressed by repeatedly applying a particular load. Suppose that the number of cycles to failure has an exponential distribution with mean 3,000 cycles. What is the probability that the fiber will break at 1,500 cycles? What is the probability that the fiber will break at 2,500 cycles?

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