QUESTION 2 (5 x 3 = 15 POINTS) Let X and Y be two discrete memoryless sources with possible outcoms X E {x;}, for i = 1, 2, ..., n and Y {y}}, for j = 1, 2, ..., M. (a) Show that the average mutual information I(X;Y) > 0 (b) Show that, side information never increases average uncertainty. That is H(X|Y)