(Solved): (a) Suppose that we roll two six-sided dice and let X and Y be two numbers that appear. Find the pm ...

(a) Suppose that we roll two six-sided dice and let $X$ and $Y$ be two numbers that appear. Find the pmf of $Z=|X-Y|$. (b) Suppose we roll three four-sided dice. Find the pmf for the sum of three numbers. (c) We roll two six-sided dice, one with sides $1,2,2,3,3,4$ and the other with sides 1 , $3,4,5,6,8$. What is the pmf of the sum?