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This is a probability question from Math 370 The number of hospital stays required for a patient with a certain condition follows a Poisson distribution

This is a probability question from Math 370

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The number of hospital stays required for a patient with a certain condition follows a Poisson distribution with a mean of 2.8 stays per year. One such patient takes out an insurance policy to help her pay for potential hospital bills. The policy does not pay anything for the first two hospital stays in a given year, but pays 550 for each stay beyond the second. Find the expected amount paid by this insurance policy

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