1. Let X and Y be jointly discrete random variables (you could think of X as being the return of some stock and Y be the return of another stock). Their joint probability distribution is described by the following table E = 2 7 = 9 0.4 0.2 7 = 4 0.1 0.3 Answer each of the following questions (and show all the steps required to arrive at the solution. If a calculation is required, need to show it for full credit) a) What is the probability that X=2 and Y=9, P[X = 1, Y = 10]? b) What is the probability that Y=9? c) What is the probability that Y=9 given that X=4