Recall from class that for r.v.s X1, ..., Xn that are i.i.d., we haveXn = (X1 + ... + Xn)/n .(a)  Suppose that the Xi are i.i.d. Geo(p). Calculate E(Xn) and Var(Xn).(b) Suppose that the Xi are i.i.d. Pois(λ). Calculate E(Xn) and Var(Xn).

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Q: 1. Prove with the usual notations that: (b) A + V =- (a) EV = VE = A (c) A= SEZ

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