Question: Given g(x, y) = ( 1 12 ) (3x 2y + 1), 1 < x < 3, 0 < y < 1. (a) Find

Given g(x, y) =

(

1 12

)

(3x − 2y + 1), 1 < x < 3, 0 < y < 1.

(a) Find the marginal densities.

(b) Find the conditional densities.

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

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