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7. (10 points) The cost for a certain type of damage is uniformly distributed on the interval [0, 100]. An insurance has a deductible of

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7. (10 points) The cost for a certain type of damage is uniformly distributed on the interval [0, 100]. An insurance has a deductible of 10 and reimburse 80% of the excess cost over the deductible up to a policy limit of 90. Calculate the expected claim payment per loss( i.e., E[Y ]), and the expected claim payment per payment (i.e. E[YP])

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