1. Consider the experiment of tossing two fair die. Let X denote the sum of the two numbers on the top of the die. (a) Write explicitly the set of values that X can attain. (b) Write explicitly the distribution of X. (c) Write explicitly the Cumulative Distribution Function (C.D.F.) of of X. (d) Plot the distribution (using sticks / stabs / bars) of X (e) Plot the cumulative distribution function of of X. (f) From the plot of the distribution of X, on which outcome would you bet?