The random loss represented by X is modeled by a mixture of two exponential random variables. The first random variable has mean 10 with weight 80% while the second random variable has mean 50 with weight 20%. The deductible of the coverage is 5. Find: 1. the mean E(X) and the variance Var(X) of random loss amount prior to the application of the deductible 2. the mean E(YL) and the variance Var(YL) per loss 3. the mean E(YP) and the variance Var(YP) per payment
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