Suppose a point in three-dimensional cartesian space x y
Suppose a point in three-dimensional Cartesian space, (X, Y, Z) is equally likely to fall anywhere on the surface of the hemisphere defined by X2 + Y2 + Z2 = 1 and Z>=0.
(a) Find the PDF Of Z, fZ(z).
(b) Find the joint PDF of X and Y, fX,Y(x,y) .
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