# Continuous uniform cdf

The continuous uniform cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ is given by $$F(x) = \left\{ \begin{array}{ll} 0, & \quad x<a \\ \dfrac{x-a}{b-a}, & \quad x \in [a,b) \\ 1, & \quad x>b. \end{array} \right.$$