Question: (1) Suppose 2 balls are drawn without replacement from an urn containing 3 balls numbered 1, 2, and 3. Let X be the number

(1) Suppose 2 balls are drawn without replacement from an urn containing

(1) Suppose 2 balls are drawn without replacement from an urn containing 3 balls numbered 1, 2, and 3. Let X be the number on the first ball drawn and Y be the larger of the two numbers drawn. Find (a) the joint pmf of X and Y, (c) Cov(X,Y). (b) the conditional pmf of X given Y = 3, (2) If X and Y are two independent random variables having the same geometric distribution with the parameter p, find P(X = Y). (3) Let X and Y have the joint density fx,y(x, y) = {0,1 Then find c(1-r-y), r>0,y>0,x+y

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