Question: 2.22 Let X be a unit exponential random variable (with density f(x) = ex,x> 0) and let Y be an independent U[0, 1] random variable.

2.22 Let X be a unit exponential random variable (with density f(x) = e−x,x>

0) and let Y be an independent U[0, 1] random variable. Find the density of T = Y/X.

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