6 Let the joint probability density function of two random variables X and Y be given by Find E(X Y y), E(Y X x), and (X, Y ) Hint To find , use Lemma 10 3 2 if 0 y x, 0 x 1 f(x, y) 0 elsewhere

Question: 6. Let the joint probability density function of two random variables X and Y be given by Find E(X | Y = y), E(Y |

6. Let the joint probability density function of two random variables X and Y be given by

2 if 0 < y < x, 0 < x

Find E(X | Y = y), E(Y | X = x), and ρ(X, Y ).
Hint: To find ρ, use Lemma 10.3.

2 if 0 < y < x, 0 < x

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