Let X, Y, Z have joint density fX,Y,Z (x,y,z) = 6, for 0 < x < y

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Let X, Y, Z have joint density
fX,Y,Z (x,y,z) = 6,
for 0 < x < y < z < l
and fX,Y,Z (x,y,z) = 0 otherwise.
a. Are X and Y and Z independent?
b. Find the density fX(x) of X.
c. Find the density fY(y) of Y.
d. Find the density fZ(z) of Z.
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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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