Question: Let f(x, y) = 3/2, x2 y 1, 0 x 1, be the joint pdf of X and Y. (a) Find

Let f(x, y) = 3/2, x2 ≤ y ≤ 1, 0 ≤ x ≤ 1, be the joint pdf of X and Y.
(a) Find P(0 ≤ X ≤ 1/2).
(b) Find P(1/2 ≤ Y ≤ 1).
(c) Find P(X ≥ 1/2, Y ≥ 1/2).
(d) Are X and Y independent? Why or why not?

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