---
title: "Binomial equations"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575894/Binomial%20equations"
format: markdown
---
|  |  |
| --- | --- |
| ·       Format: | Binomial(p, n) |
| ·       Probability mass function: | ![image](media://56cc94b2-4245-4fbe-abc2-196ebd09d3bd)<br>> Macro (mathblock) |
| ·       Cumulative distribution function: | ![image](media://45f479b6-a71c-4800-8b51-5dd0a80d727a)<br>> Macro (mathblock) |
| ·       Parameter restrictions: | 0 *<* *p* *<* 1; *n* = {0,1,2,...} |
| ·       Domain: | x = {0,1,2,...*n*} |
| ·       Mean: | *np* |
| ·       Mode: | *p* (*n* + 1)-1 and *p* (*n*+1)          *if p* (*n*+1) *is an integer*<br>*p (n + 1)    *                              otherwise |
| ·       Variance: | *np* (1- *p*) |


---