Suppose that N, X, X2,... are independent r.v.'s such that N ~ Geometric (p) and X;...

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Suppose that N, X₁, X2,... are independent r.v.'s such that N ~ Geometric (p) and X; ~ Uniform(-a, a). Let S = X₁ ++ XN. (a) Find E(S). (b) Find Var(S). Suppose that N, X₁, X2,... are independent r.v.'s such that N ~ Geometric (p) and X; ~ Uniform(-a, a). Let S = X₁ ++ XN. (a) Find E(S). (b) Find Var(S).