The joint density of X and Y is f(x, y) = 2x/9y, for 0 < x <

Question:

The joint density of X and Y is

f(x, y) = 2x/9y, for 0 < x < 3, 1 < y < e.

(a) Are X and Y independent?
(b) Find the joint cumulative distribution function.
(c) Find P(1 < X < 2, Y > 2).

Distribution
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