Normal Distribution

## Description

The Normal or Gaussian Distribution is a bell shaped distribution that is expressed by the function

(1)\begin{align} f(x| \sigma)=\frac{1}{\sqrt{2\pi\sigma^2}} e^{-\frac{x^2}{2\sigma^2}}. \end{align}

The Sage cell below plots the normal distribution with centered around $0$ with $\sigma=1$.

## Sage Cell

#### Code

```
sigma=1
D=RealDistribution('gaussian', sigma)
p1=D.plot((x,-3,3))
p1
```

## Options

None

## Tags

Primary Tags: Probability

Secondary Tags: Continuous Distributions: Normal

## Related Cells

## Attribute

Permalink: http://doc.sagemath.org/pdf/en/reference/probability/probability.pdf

Author: Sage Development Team

Date: 09 Oct 2018 18:27

Submitted by: James A Phillips