A point (X, Y) is drawn uniformly from the triangle in the xy-plane depicted above. (a) Determine the probability P(Y > X). (b) Determine the marginal distribution P(Y) of Y. (c) Determine the conditional distribution P(XIY) as a function of Y = (0, 2). E (d) Determine the conditional probability P(X>0|Y < 1/3).

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