Question: Let X and Y be uniformly distributed on the triangle with vertices (0,0), (1,0), and (1,1). (a) Find the joint and marginal densities of X

Let X and Y be uniformly distributed on the triangle with vertices (0,0), (1,0), and (1,1).
(a) Find the joint and marginal densities of X and Y.
(b) Find the conditional density of Y given X = x. Describe the conditional distribution.

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