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The lifetime of a calculator costing $250 is exponentially distributed with mean 3 years. The manufacturer agrees to pay a full refund to a buyer

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The lifetime of a calculator costing $250 is exponentially distributed with mean 3 years. The manufacturer agrees to pay a full refund to a buyer if the calculator fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 calculators, how much should it expect to pay in refunds? The manufacturer should expect to pay $| |in refunds. (Round to the nearest cent as needed.) K

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