University of Alberta Guide/STAT/222/Uniform Random Variables

Uniform Random Variables are used where each outcome of an event is equally probable. For $$p_{U}(u) = P(U \leq u)$$ where $$U\,$$ is some $$[a,b]\,$$-Uniform Random Variable, $$p_{U}(u)\,$$ will always be zero unless $$(a \leq u \leq b)$$. When $$(a \leq u \leq b)$$, then $$p_{U}(u) = \frac{1}{b - a}$$.

Links

 * The Continuous Uniform Distribution
 * The Discrete Uniform Distribution