# Beta distribution (mean)

## Description

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parametrized by two positive shape parameters, denoted by α and β, that appear as exponents of the random variable and control the shape of the distribution. Mean or , the expected value of a random variable is intuitively the long-run average value of repetitions of the experiment it represents. The expected value (mean) of a Beta distribution random variable X with two parameters α and β is a function of only the ratio β/α of these parameters.

Related formulas## Variables

μ | Expected value (mean) (dimensionless) |

α | Shape parameter (α>0) (dimensionless) |

β | Shape parameter (β>0) (dimensionless) |