Normal Distribution

f(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}

Description

Probability density function for normal (Gaussian) distribution.

Variables

Symbol	Meaning
`f(x)`	Probability density
`μ`	Mean
`σ`	Standard deviation
`x`	Variable

Example

Problem

Standard normal: μ=0, σ=1

Solution

Bell curve centered at 0

Real-World Applications

Statistics
Quality control
Data analysis