Suppose that X and Y have a continuous joint distribution for which the joint probabilit sity function is defined as follows: fx,y (x, y) = { } for 0 ≤ x ≤ 2 and 0 ≤ y ≤ 1 otherwise. (a) Determine P(X < 1,Y ≥ 1/2). (b) Determine the marginal probability density functions of X and Y. (c) Are X and Y independent? Explain.

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