Suppose that the random variables X, Y, and Z have the multivariate pdf fX,Y,Z (x, y, z)=(x

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Suppose that the random variables X, Y, and Z have the multivariate pdf
fX,Y,Z (x, y, z)=(x + y)e−z
For 0 < x < 1, 0 < y < 1, and z > 0.
Find
(a) fX,Y (x, y),
(b) fY,Z (y, z), and (c) fZ (z).
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