2. (5 marks) Suppose that the distribution of claim frequency N and claim severity X are given as following. N012 X 1 2 3 Prob. 0.5 0.3 0.2 Prob. 0.4 0.4 0.2 (A) Calculate E[X + X] assuming that X, are i.i.d, with the same distribution of X k j=1 Compute P(S > 2). (B) Let S = X,, given that X, are i.i.d, with the same distribution of X and are independent of N. N the the ou