Past exam of the year 1 of the computer science course of the University of Oxford / 2014 / Discrete mathematics, continuous mathematics and probability / 9 / a / i / Solution

A probability density function must be nonnegative and integrate to one. For $c>0$,At $c=0$ the function is identically zero, while $c<0$ makes it negative on $x>1$. Thus $\boxed{c>0}$ is necessary and sufficient. The resulting law is a Pareto distribution with scale one and shape $c$.