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Question 7 Suppose (X, Y) is a point chosen uniformly at random from the interior of the triangle with vertices (0,0), (0,1), (1,1). a) Find

Question 7 Suppose (X, Y) is a point chosen uniformly at random from the interior of the triangle with vertices (0,0), (0,1), (1,1). a) Find the joint density of (X, Y). b) Find the marginal densities of X and Y. Are X and Y independent? c) Find the conditional density of X given Y = y for y in the interval (0, 1)

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