Probability & Combinatorics
Advanced

Normal Distribution PDF

Bell-curve probability density function.

Formula

f(x)=1σ2πe(xμ)22σ2f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}

Variables

\muMean
\sigmaStandard deviation
xValue

Example

Symmetric about the mean \mu

Did You Know?

The normal distribution arises naturally via the Central Limit Theorem.