Select an (even) integer randomly from the set {0,2,4,6,8}. Then select an integer randomly from the set {0,1,2,3,4}. Let X equal the integer that is selected from the first set and let Y equal the sum of the two integers. a) Show the joint p. m.f. of X and Y on the space of X and Y. b) Compute the marginal p. m.f.'s. c) Are X and Y independent? Why or why not?