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SUMS OF DISCRETE RANDOM VARIABLES: Consider the following two experiments: the rst has outcome X taking on the values 0, 1, and 2 with equal

SUMS OF DISCRETE RANDOM VARIABLES: Consider the following two experiments: the rst 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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