1. (10I points): Let L be a discrete random variable taking values in nonnegative integers. Suppose we are given 14 + 52 322 8(2 z) ' for some constant K. Determine the value of K , the numerical values of E{L}, and P{L = 1}. Fz) = E{zL}: K Note: For P{L = 1}, you want to nd Polynomial expansion of the above function, from which we can in principle nd P{L = k} for any It