What is the distribution of a constant divided by a uniform distribution? [closed]
We let $P\sim $ Unif$[1,2]$. Then one can calculate that $Y:=1/P$ has the following density function:
$$f_Y(y)=\begin{cases}\dfrac1{y^2},&y\in[1/2,1]\\0,&\text{else.}\end{cases}$$
So $Y$, or $m/P$, is not uniformly distributed. The random variable $m/P$ does take values in between $m/2$ and $m$.