Question

2. You are given the following multivariate PDF 0 else where S = {(z, y, z) |エ2 + y2 + 22-1). (a) (5 points) Let T be the set of all points that lie inside the largest cylinder by volume that can be inseribed in the region of S. Similarly let U be the set of all points that lie inside the largest cube that can be inscribed in the region of S. What would the probabilities P[(X, Y, Z) ET and P[(X, Y, Z) E U] be? Why can they be computed without integration? (b) (5 points) What integrals could you set up to compute the probabilities in (a) for an arbitrary (c) (5 points) Return back to the original definition of fx.y.z. Setup a finite integral to compute (d) (5 points)Let W XYFind Jw(u) xy,z? E[Z]

Answer 1

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