Question: (a) Prove that the following is a joint probability density function. (b) Suppose that f is the joint probability density function of random variables X,
(a) Prove that the following is a joint probability density function.

(b) Suppose that f is the joint probability density function of random variables X, Y, Z, and T. Find fY,Z,T (y, z, t), fX,T (x, t), and fZ(z).
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