Question: For a certain group, aggregate claims are uniformly distributed over (0,15). Insurer A proposes stop-loss coverage with a deductible of 7 for a premium equal

For a certain group, aggregate claims are uniformly distributed over (0,15). Insurer A proposes stop-loss coverage with a deductible of 7 for a premium equal to the expected stop-loss claims. Insurer B proposes group coverage with a premium of 8 and a dividend (a premium refund) equal to the excess, if any, of 8k over claims. Calculate k such that the expected cost to the group is equal under both proposals. For a certain group, aggregate claims are uniformly distributed over (0,15). Insurer A proposes stop-loss coverage with a deductible of 7 for a premium equal to the expected stop-loss claims. Insurer B proposes group coverage with a premium of 8 and a dividend (a premium refund) equal to the excess, if any, of 8k over claims. Calculate k such that the expected cost to the group is equal under both proposals
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