Let f (x, y) 1/4 for 1 x 1 and 1 y
Question:
Let f (x, y) Æ 1/4 for ¡1 · x · 1 and ¡1 · y · 1 (and zero elsewhere).
(a) Verify that f (x, y) is a valid density function.
(b) Find themarginal density of X.
(c) Find the conditional density of Y given X Æ x.
(d) Find E[Y j X Æ x].
(e) Determine P
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X2 ÅY 2 Ç 1
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.
(f ) Determine P[jX ÅY j Ç 2] .
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