3. The joint density of X and Y is given by $$f(x, y) = C(y - x)e^{-y}$$...
Question:
3. The joint density of X and Y is given by
$$f(x, y) = C(y - x)e^{-y}$$
-y < x < y, 0 < y < ∞
(a) Find C.
(b) Find the density function of X.
(c) Find the density function of Y.
(d) Find E[X].
(e) Find E[Y].
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