(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 .

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(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?
Transcribed Image Text:(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?
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