Question: e The claim count distribution for risks of type A is Poisson with parameter 1. Claim size distributions for risks of type A are: Claim

e The claim count distribution for risks of type A is Poisson with parameter 1. Claim size distributions for risks of type A are: Claim size Probability 500 $ 1/4 600 $ 3/4 e The claim count distribution for risks of type B is Poisson with parameter 2 e claim size distributions for risks of type B are: Claim size Probability 250 $ 2/8 700 $ 1/3 e There are equal numbers of individuals of type A and type B. e Claim counts and sizes are independent within each risk type. A randomly selected risk is observed to have total annual losses of 500 $. 1) Determine the Bulhmann's premium for the next year's total annual loss for this same risk

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