The Uniform Distribution is a probability distribution where all outcomes in an interval \([a, b]\) are equally likely. It is also called the rectangular distribution because of its constant probability.
\[ f(x) = \begin{cases} \frac{1}{b - a}, & a \leq x \leq b \\ 0, & x < a \text{ or } x > b \end{cases} \]
\[ F(x) = \begin{cases} 0, & x < a \\ \frac{x - a}{b - a}, & a \leq x \leq b \\ 1, & x \geq b \end{cases} \]