An insurance company pays out claims on its life insurance, Basic Statistics

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An insurance company pays out claims on its life insurance

An insurance company pays out claims on its life insurance policies in accordance with a Poisson process with an average rate of 5 claims per week. If the amount of money paid on each policy is uniformly distributed between $2,000 and $10,000, what is the mean of the total amount of money that the company pays out in a four-week period?

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