(d) The following information is available for a collective risk model: .X is a random variable representing the size of each loss.. •X follows a Gamma distribution with and a = 1,0 = 100. • N is a random variable representing the number of claims.. • S is a random variable representing aggregate losses.. • S=X₁ + X₂ +...+XN Given that N = 5, compute the probability of S greater than mean of the aggregate.