CMTH 380 Assignment # 2 NOTE: Please submit your answers in a PDF file in "Assessment Assignment 1" on the course shell before the deadline. Penalty for late submission is 50% your marks. Problem 1. Let X be a discrete random variable with probability mass function fX that is described in the following table. Suppose that Y = X(X 1)(X 2). x0123 f (x) 0.2 0.2 0.3 0.3 (a) Find the probability mass function of Y . (b) Find E(Y) and V(Y)