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The joint prob. density of X and Y is f(x,y) = c xexp(-y) for 0 y x 1, and 0 otherwise. (a) Find c. (b)
The joint prob. density of X and Y is f(x,y) = c xexp(-y) for 0 y x 1, and 0 otherwise.
(a) Find c.
(b) Find the marginal density of X.
(c) Find the marginal density of Y.
(d) Find P(Y < 1/3 | X < ).
(e) Find E(X) and E(Y).
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