Problem 2 Suppose that X1, X30,000 are independent random variables with density functions: Fx.(x) = {1 < <3 0 otherwise a) Find E(X). b) Find Var(X). c) Use parts (a) and (b) to determine E(X) and Var(X) where X X+X++X30,000 = 30,000 d) Use the Central limit theorem to approximate P(2.009 < < 2.01)