Question: Need help for question C! Let X and Y be two continuous variables with a joint PDF given by 6xy, 0x1; 0yx f(x,y) = 0,

Need help for question C!

  1. Let X and Y be two continuous variables with a joint PDF given by

6xy, 0x1; 0yx

f(x,y) = 0, othwerwise

a. Calculate E(X|Y) which gave me 2/3

b. Calculate Var(X|Y) which gave me 1/18

c. (show that E[E(X|Y] = E(X)

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