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A box contains three balls labeled 0, 1, and 2. A ball is chosen at random...

A box contains three balls labeled 0, 1, and 2. A ball is chosen at random and then a coin is flipped that number of times. Let: X=the number on the ball Y =the number of heads obtained

(a) Give the joint PMF of X and Y.

(b) What is the probability the sum of X and Y is at least 2?

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