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Calculating the marginal densities of y and z

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Suppose X1 ~ U(0,1) and X2 ~ U(0,1).  It can be shown that Y=X1/X2 and Z=X1*X2 have joint density function given by f(y,z) = 1/2y for y>z>0 and yz<1.  Find the marginal densities of Y and Z (don't forget the state space).

Reference no: EM131824323

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