Question: A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1, 4,

A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1, 4, and 5. The two dice are rolled. Let X and Y be the respective outcomes of the roll. Let W = X + Y.
(a) Determine the pmf of W.
(b) Draw a probability histogram of the pmf of W.

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a The space of W is S 0 1 2 3 4 5 6 7 PW 0 PX 0 Y 0 1 2 1 4 1 8 assuming independence PW 1 PX 0 ... View full answer

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