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Problem 2 Let N; ~NB(r;, B), i = 1,....m, be independent Negative Binomial variables, with B > 0, ri > 0, .... I'm >0. (a)

Problem 2 Let N; ~NB(r;, B), i = 1,....m, be independent Negative Binomial variables, with B > 0, ri > 0, .... I'm >0. (a) Find the PGF of the sum S = Ni+ . . . + Nm. (b) If m = 3, 8 = 2.5, m1 = 2, r2 = 13 = 0.5, find E(S - 3)+

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