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·       Format:

= DiscreteUniform (min, max)

·       Probability mass function:

f(x)=1/(max-min+1)

·       Cumulative distribution function:

F(x)=\bigg( \frac{x-min+1}{max-min+1} \bigg)

·       Parameter restrictions:

min, max are integers, min ≤ max

·       Domain: 

min≤ x ≤ max

·       Mean:

\bigg( \frac{min+max}{2}\bigg)

·       Mode: 

Not uniquely defined

·       Variance:

\bigg( \frac{max-min}{6}\bigg) \bigg( \frac{max-min}{2} +1\bigg)

 


 

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