1 Statistics of a discrete random variable (5p) (X, Y) is a 2-dimensional discrete random variable with the following distribution: X\Y 0 1 0 0.2 0.1 1 0.1 0.2 2 P P . Find parameter p (1p) Find marginal distributions for X and Y and check if X and Y are independent (1p) Compute Cov(X, Y) (2p) Find expected value and variance of X - Y (1p)