1. The problem statement, all variables and given/known data Let X be a uniform random variable in the interval [0,1] i.e., X = U [(0,1)]. Then a new random variable Y is given by Y= g(X), where g(x)= -a. ln(x). Show that Y is exponentially distributed. What is the mean of Y? 2. Relevant equations fX(x) = 1/ lambda . exp (-x/ lambda) 0 otherwise 3. The attempt at a solution Y = g(X) can be computed via FY(y)= Summation 1/ differentiation of g(x) multiplied with Fx(x) I can't show how this is exponential. Please help!