Question: Suppose the random variables X, Y, and Z have the joint probability density function fXYZ (x, y, z) = c over the cylinder x2 +

Suppose the random variables X, Y, and Z have the joint probability density function fXYZ (x, y, z) = c over the cylinder x2 + y2 < 4 and 0 < z < 4. Determine the following.
(a) The constant c so that fXYZ (x, y, z) is a probability density function
(b) P(X2 + Y2 < 2)
(c) P(Z < 2)
(d) E(X)

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