Originally Posted by

**padawan** Hi all,

I have been going through a proof, but can't seem to make sense of a step, I am sure its trivial, but I can't seem to see it!....

Let $\displaystyle U$ be a uniform variable on $\displaystyle [0,1]$ and let $\displaystyle V= 1/U$, find the density function of $\displaystyle V$.

Find CDF first: $\displaystyle F_V (v) = P(V \le v)$

$\displaystyle = P(1/U \le v) $

$\displaystyle = P(U \ge 1/v) $

$\displaystyle = 1 - 1/v $

Now its the last step I cant seem to see; where does the 1 come from? I can see teh rest of the proof from that point on, but have problems seeing what happened in this step...

Many thanks for reading!