Question: Let X = [X1, X2, X,] be a 3-dimensional vector of random varialbes that is uniformly distributed over the unit sphere. That is, fx(x) =

Let X = [X1, X2, X,] be a 3-dimensional vector of random varialbes that is uniformly distributed over the unit sphere. That is, fx(x) = > for >+ x3+ 151. Find the marginal PDF for a subset of two of the three random variables, fx, x, (x1, X2). Find the marginal PDF for one of the three random variables, fx, (x,). Find the conditional PDF, fx, Ix2x, (x| |x2, x3). Find the conditional PDF, fx, X, x, (x1, X2 X3)

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