Given the joint density

Show that
(a) µY|x = x/2 and µX|y = 1+y / 2;
(b) E(XmYn) = 2 / (n + 1)(m + n + 2).
Also,
(c) verify the results of part (a) by substituting the values of µ1, µ2, σ1, σ2, and ρ, obtained with the formula of part (b), into the formulas of Theorem 14.1.

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for 0 < y