Question: Problem 5.8 Two numbers are selected at random and without replacement from the set {1, 1, 1, 1, 0, 0, 0, 0, 0, 0}. Let

Problem 5.8 Two numbers are selected at random and without replacement from the set {1, 1, 1, 1, 0, 0, 0, 0, 0, 0}. Let Xi, (i = 1, 2) denote the ith number that is drawn.

(a) Compute the joint pmf of (X1, X2). Are (X1, X2) mutually independent?

(b) Compute the pmf of X1 + X2.

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