13. General: Two Dice In a game of craps, you roll two fair dice. Whether you win or lose depends on the sum of the numbers appearing on the tops of the dice. Let x be the random variable that represents the sum of the numbers on the tops of the dice.

(a) What values can x take on?

(b) What is the probability distribution of these x values (that is, what is the probability that x 5 2, 3, etc.)?