(b) Let X be a random variable taking values in the set Rx := {x1, ...,Im}, and let Y be a random variable taking values in the set Ry := {y1, ...,Un}. If X and Y are independent, then Ely(X ) v(Y)] = Ely(X)]E[v(Y)] for every functions 4 : Rx - R and v : Ry - R. Show that the converse implication of this statement does hold: if Ely(X)(Y)] = Elv(X)JE[