Question: Let (X, Y ) be a uniformly random point in the square with corners (1, 0), (0, 1), (1, 0), and (0, 1). (a) What

Let (X, Y ) be a uniformly random point in the square with corners (1, 0), (0, 1), (1, 0), and (0, 1). (a) What is the joint density functionfX,Y : R^(2) [0, )? (b) What is the correlation Corr(X, Y )? (c) Are X and Y independent? Why or why not?

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