Question 2: Suppose you have the following joint density function for the random vector (х, Ү): log(x") log(2)– if 0 < y <1 and 1 < x < 2 f(x, y) = otherwise. (a) Are X and Y independent? Justify your answer. (b) (c) Find the marginal probability density function for X. Find the marginal probability density function for Y.

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