Two discrete random variables X and Y have the following support sets: 26' = {0.1} and y = {1,0, 1}. The joint probability mass function (pmf) describing the two random variables is given by the following table: b) Compute the probability that X and Y are nonnegative, i.e., Pr(X 2 0, Y 2 0). [5 marks] c) Give the expectation of X + Y. i.e., E(X + Y). Is your result in a) relevant to this computation? [5 marks] d) Obtain the support and pmf of a new random variable Z defined as Z = Y2. [4 marks]