Suppose that 2 balls are chosen without replacement from an urn consisting of 5 white and 7 red balls. Let X equal 1 if the first ball selected is white and zero otherwise. Let Y equal 1 if the second ball selected is white and zero otherwise. • Find the joint probability mass function of (X,Y). • Find E[XY] • Is it true that E[XY] = E[X] × E[Y]? Verify it. . Are X and Y independent?

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