Question: Consider the following two experiments: the first has outcome X taking on the values 0, 1, and 2 with equal probabilities; the second results in

Consider the following two experiments: the first has outcome X taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome Y taking on the value 3 with probability 1/4 and 4 with probability 3/4. Find the distribution of
(a) Y + X.
(b) Y − X.

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