Question: 4. Let the joint probability density function of X, Y , and Z be given by f (x, y, z) = B 6exyz if 0

4. Let the joint probability density function of X, Y , and Z be given by f (x, y, z) = B 6e−x−y−z if 0 < x < y < z < ∞ 0 elsewhere.

(a) Find the marginal joint probability density function of X, Y ; X, Z; and Y , Z.

(b) Find E(X).

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