I (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 [YL]), and the expected claim payment per payment (i.e. E[YP]). I (10 points) A life insurance company issues 1year term life contracts with benet amount of 2 units to 500 individuals with probability of death 0.015 and to 1000 individuals With probability of death 0.009. Use the approximation by Normal distribution to nd the relative security loading 0 for the 99th percentile. In other words, nd a constant 0 such that Pr(S S (1 + 6')E[S]) = 0.99, Where S is the total claim amount. (Remark: @(2326) : 0.99)