Question
Let X, Y, Z be independent random variables where X, Y are uniformly distributed on [0, 1] and Z is an exponential with mean 1.
Let X, Y, Z be independent random variables where X, Y are uniformly distributed
on [0, 1] and Z is an exponential with mean 1.
(a) What is the conditional density of X given XY = t for 0 t 1?
(b) What is the conditional density of X given X + Z = t for t 0?
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Elementary Number Theory
Authors: Charles Vanden Eynden
2nd Edition
1478639113, 9781478639114
