(Probability question) We roll two unbiased dice. Say X denotes the smaller of the two numbers that comes up on the two dice, and Y denotes the range (absolute value of the difference) between the two values from the dice.

a. List all the values X can take. b. find P.M.F of X c. List all the values Y can take. d. find P.M.F of Y. e. Find E[X] and find E[Y]