Integer Uniform equations

· Format:

= DiscreteUniform (min, max)

· Probability mass function:

$\begin{array}{l}\displaystyle f(x)=1/(max-min+1)\end{array}$

· Cumulative distribution function:

$\begin{array}{l}\displaystyle F(x)=\bigg( \frac{x-min+1}{max-min+1} \bigg)\end{array}$

· Parameter restrictions:

min, max are integers, min ≤ max

· Domain:

min≤ x ≤ max

· Mean:

$\begin{array}{l}\displaystyle \bigg( \frac{min+max}{2}\bigg)\end{array}$

· Mode:

Not uniquely defined

· Variance:

$\begin{array}{l}\displaystyle \bigg( \frac{max-min}{6}\bigg) \bigg( \frac{max-min}{2} +1\bigg)\end{array}$

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