Question: A certain machine has a life X that has an exponential distribution with mean 10. The warranty is such that $m is returned if the

A certain machine has a life X that has an exponential with mean 10. The warranty is such that $m is returned if the machine fails in the first year, (0.5)m of the price is returned for a failure during the second year, and nothing is returned after that. If the machine cost $2500, find m so that the expected payment is $200.

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