Question: 3. (10 points) Let X, Y have joint pdf given by 2, 0yx1, f(x, y) = 10, o.w. (a) (2 points) Show that whether

3. (10 points) Let X, Y have joint pdf given by 2,

3. (10 points) Let X, Y have joint pdf given by 2, 0yx1, f(x, y) = 10, o.w. (a) (2 points) Show that whether X and Y are independent or not. (b) (2 points) Find f(x), the marginal density of X. (c) (3 points) Find the conditional pdf f(yr) and then find E(Y|X) and Var(Y|X). (d) (3 points) Find px,y, the correlation of X and Y.

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