1. We rst Choose a number X at. random from the set of numbers {1, 2, 3, 4, 5}, and then choose a number Y at. random from the set {1, . . . ,X}. (a) What is the joint pinf of X and Y. (b) What is the pmf of X|y=i1 for 1' = 1,323,415. (c) Are X and Y independent? Explain. 2. Let X be a random variable. Is it possible that PX.X2 : 1 for some X 7 \"What about PX,X2 = 1