Find the joint pdf of x and y

Reference no: EM131216139

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, f_Z(z).

(b) Find the joint PDF of X and Y, f_X,Y(x,y) .

Reference no: EM131216139

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