---
tag: 0H8H7ZTHW2
kind: concept
name: Cumulative distribution function
aliases: [cdf, distribution-function]
msc: ["60E05"]
sources:
  - url: https://en.wikipedia.org/wiki/Cumulative_distribution_function
    locator: lead section
same_as:
  wikidata: Q386228
  wikipedia: Cumulative distribution function
---

## Summary

The cumulative distribution function of a real random variable $X$ gives, for each real $x$, the probability that $X$ is at most $x$.
It determines the law of $X$. The node [[cumulative distribution function|0MXMS3AE13]] gives the precise definition.