Question

An urn has six balls, 3 are red, 2 are blue, and 1 is green. You...

An urn has six balls, 3 are red, 2 are blue, and 1 is green. You choose 2 at random, without replacement. Let X be the number of red balls drawn, and Y be the number of green balls drawn.

(A) Find the joint distribution of X and Y.

(B) Find the marginal distribution of X and Y.

(C) Find the conditional distribution of Y, given that X=1.

(D) E[X], E[Y], E[X2], E[Y2], E[XY], AND Cov(X,Y).

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