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(b) Consider two random variables X and Y, Where Y is uniformly distributed over the set {1,2,3}. Moreover, it is given that E(XlY = i) = i and E(X2|Y = z) = 732 + 1. Find Var (X ). (c) Consider n independent random variables X1, X2, . . . ,Xn7 Where all them have the same variance 02. These random variables do not necessarily have the same mean. Let 2 Y = % (X1 + X2 + . . .Xn). Show Var(Y) = 07