A random point (X, Y, Z) is chosen uniformly in the ball B = {(x, y, z) : x2+y2+z2 1}

Chapter 7, Problem 19

(choose chapter or problem)

A random point (X, Y, Z) is chosen uniformly in the ball B = {(x, y, z) : x2+y2+z2 1}. (a) Find the joint PDF of X, Y, Z. (b) Find the joint PDF of X, Y . (c) Find an expression for the marginal PDF of X, as an integral.

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