The joint density of X and Y is f(x, y) = ce 2y , for 0 <
Question:
The joint density of X and Y is
f(x, y) = ce−2y, for 0 < x < y < ∞.
(a) Find c.
(b) Find the marginal densities of X and Y . Do you recognize either of these distributions?
(c) Find P(Y < 2X).
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