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title: "Discrete equations"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575910/Discrete%20equations"
format: markdown
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| ·       Format: | <span style="color: #000000">Discrete ({</span>*x*<sub>*i*</sub><span style="color: #000000">},{</span>*p*<sub>*i*</sub><span style="color: #000000">}), </span>*i*<span style="color: #000000"> = 1 to </span>*n* |
| ·       Probability mass function: | ![image](media://00c47727-b6f6-4524-b9c4-baf5c72df32b)<br>> Macro (mathblock) |
| ·       Cumulative distribution function: | ![image](media://aa81dee3-a6eb-4891-87c9-715eb3503249)<br>> Macro (mathblock) | if > Macro (inline-media-image)

> Macro (mathinline)

assuming the x<sub>i</sub>"s are in ascending order |
| ·       Parameter restrictions: | ![image](media://62de48fe-b284-4e7d-89ad-05caadafdc48)<br>> Macro (mathblock) |
| ·       Domain: | *x* = {*x*<sub>*1*</sub>, *x*<sub>*2*</sub>, ...*x*<sub>*n*</sub>} |
| ·       Mean: | No unique mean |
| ·       Mode: | The *x*<sub>*i*</sub> with the greatest *p*<sub>*i*</sub> |
| ·       Variance: | ![image](media://4db12674-2aa1-47e9-8774-c49d41dd5677)<br>> Macro (mathblock) |


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