---
tag: 045D8P03E0
kind: concept
name: Random variable with a density
aliases: [absolutely-continuous-random-variable, continuous-random-variable]
msc: ["60E05"]
sources:
  - url: https://en.wikipedia.org/wiki/Probability_density_function
    locator: Absolutely continuous univariate distributions
---

## Summary

A real random variable has a density when there is a fixed nonnegative function with this property.
The probability of each set of values is the integral of the function over that set.
The node [[random variable with a density|0C21RZG5V2]] gives the precise definition.