Let S be a r.v. such that S = X₁+...+XN, and corresponds to the known insurance model of the flow of claims. Suppose the m.g.f. of S is Ms (z) = P{1 (100 (²²2-1¹ - 1¹)}. 2z Answer the following questions 6-8. Q6 What is the distribution of each X₂? O Gamma distribution with parameters (0.5, 100) O Uniform on [0,2]. O Poisson distribution with parameter 100. O Normal distribution with parameters (2,100) O Poisson distribution with parameter 2. Q7 Name the distribution of S. O Exponential distribution O Gamma distribution O Uniform distribution O Poisson distriution O Compound Poisson Q8 exp What is the expectation of S? O 0.5 200 O 50 100 O 10000

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