Question: 21 The joint probability density function of random variables X, Y, and Z is given by f(x, y, z) = {(x + y +22) if

21 The joint probability density function of random variables X, Y, and Z is given by f(x, y, z) = {(x + y +22) if 0 x, y, z 1 otherwise.

(a) Determine the value of

c.

(b) Find P(X <1/3 | Y <1/2, Z <1/4).

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