Let f (x, y) x y for 0 x 1 and 0

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Let f (x, y) Æ x Å y for 0 · x · 1 and 0 · y · 1 (and zero elsewhere).

(a) Verify that f (x, y) is a valid density function.

(b) Find themarginal density of X.

(c) Find E[Y ] , var[X], 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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Probability And Statistics For Economists

ISBN: 9780691235943

1st Edition

Authors: Bruce Hansen

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Question Posted: Sep 23, 2024 07:00 AM

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Let f (x, y) x y for 0 x 1 and 0

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Probability And Statistics For Economists

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