Problem 1H Let X have the distribution given below. Here 0

Problem IH Let X have the distribution given below. Here 0 < 0 < 1/3. value 3 probability 0 20 1 30 , Xn be i.i.d., drawn from the distribution above, independent of X. Let X(n) = (Xl + X2 + Let X X + Xn)/n. In each of parts (a), (b), and (c), classify the given quantity as a random variable or a real number. If possible, compute the value of the quantity. You can leave your answer in terms of 0 if necessary.