The densitiy function is \(f(x) =\dfrac{1}{b-a}1_{[a,b]}(x) \). The distriubtion function is \(F(x)=\begin{cases}0, & x< a, \\ \frac{x-a}{b-a}, & a\leqslant x < b, \\ 1, & x\geqslant b. \end{cases}\)
