Statistics/Distributions/Uniform
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The uniform distribution, as its name suggests, is a distribution with probability densities that are the same at each point in an interval. In casual terms, the uniform distribution shapes like a rectangle.
Mathematically speaking, the probability density function of the uniform distribution is defined as
![f\left(x\right)=
\begin{cases}
{1 \over {b-a}}\ \forall\ real\ x\ \in [a,b]
\end{cases}](http://upload.wikimedia.org/math/6/c/5/6c5684215b6d3205a0a64c180032e8ab.png)
And the cumulative distribution function is:
