Let for 0 x and 0 y. (a) Verify that f (x, y) is a
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Let
for 0 · x and 0 · y.
(a) Verify that f (x, y) is a valid density function.
(b) Find themarginal density of X.
(c) Find E[Y ] , var[Y ], E[XY ] and corr(X,Y ).
(d) Find the conditional density of Y given X Æ x.
(e) Find E[Y j X Æ x].
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