I want to find the CDF of a a random variable $X(\omega) = e^\omega$, with the sample space $\Omega = [-1,1]$. The outcomes of $\Omega$ are uniformly distributed.
What I've managed so far is to get to this point:
$F_X(x) = P(X<= x) = P(e^w <= x) = P(w <= ln(x))$
But I don't know where to go from here. I can't find anything about it in my books or from what I could gather on the net. All the help is welcome!