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Unformatted text preview: x y f X Y (e) Are X and Y independent? (f) Find ]  [ y Y X E = and ]  [ x X Y E = , and then ] [ X E and ] [ Y E from the conditional expectations (g) Find [ ] 2 / 1  2 / 1 = ≤ ≤ Y X P (h) Find the covariance of X and Y , ] , [ Y X Cov (i) Find the correlation coefficient, Y X , ρ Problem 3 Consider the following joint pmf for r.v.’s X and Y . Y X 2 4 1 0.3 0.4 3 0.1 0.2 Find (a) ) ( x p X and ) ( y p Y (b) ] [ X E and ] [ Y E (c) ] [ X V and ] [ Y V (d) )  (  y x p Y X and )  (  x y p X Y (e) Are X and Y independent? (f) ]  [ y Y X E = and ]  [ x X Y E = , and then ] [ X E and ] [ Y E from the conditional expectations (g) ] , [ Y X Cov (h) Y X , ρ...
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This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas at Austin.
 Spring '07
 BARD

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