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An insurance company offers insurance against a particular type of loss. The particular policy has a...

An insurance company offers insurance against a particular type of loss. The particular policy has a cap C $ but no deductible. In other words, the insurer will compensate the policyholder for losses up to a maximum of C $. Assume that losses have an exponential distribution with mean 2 measured in thousands of dollars. At what level should the cap C be set if the insurer would like the expected payment for any loss of this type to be $1,500?

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