Question: Let X Unif(0, 2). If X = x, let Y be uniformly distributed on (0, x). (a) Find the joint density of X and

Let X ∼ Unif(0, 2). If X = x, let Y be uniformly distributed on (0, x).
(a) Find the joint density of X and Y.
(b) Find the marginal densities of X and Y.
(c) Find the conditional densities of X and Y.

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