This is probably hellishly easy, but I'm just not getting it.

$\displaystyle X$ is uniformly distributed over $\displaystyle (0,1)$. For the random variable $\displaystyle Y=-log_{e}(X)$

i) State the range of values $\displaystyle Y$ can take.

ii) Obtain the distribution function of $\displaystyle Y$, $\displaystyle F_{Y}(y)$.

iii) Obtain and identify the probability density function of $\displaystyle Y$, $\displaystyle f_{Y}(y)$.

Cheers for any help in advance.