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title: "Discrete Uniform equations"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575919/Discrete%20Uniform%20equations"
format: markdown
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| ·       Format: | <span style="color: #000000">Discrete Uniform ({</span>*x*<sub>*i*</sub><span style="color: #000000">}), </span>*i*<span style="color: #000000"> = 1 to </span>*n* |
| ·       Probability mass function: | > Macro (mathinline)<br>![image](media://e88129e4-87a3-42ef-baec-6138d8531695) |
| ·       Cumulative distribution function: | > Macro (mathinline)<br>![image](media://145d9787-83f2-4ad5-bb10-0d613d4ca1e4) | if > Macro (mathinline)

 > Macro (inline-media-image)

assuming the x<sub>i</sub>"s are in ascending order |
| ·       Parameter restrictions: | > Macro (mathinline)

> Macro (inline-media-image) |
| ·       Domain: | *x* = {*x*<sub>*1*</sub>, *x*<sub>*2*</sub>, ...*x*<sub>*n*</sub>} |
| ·       Mean: | > Macro (mathinline)

> Macro (inline-media-image) |
| ·       Mode: | Not uniquely defined |
| ·       Variance: | > Macro (mathinline)<br>![image](media://bef2654e-0f84-416f-9a30-782d21254341) |


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