Normal distribution

Probability distribution

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f ( x) = 1 2 π σ 2 exp ⁡ ( − ( x − μ) 2 2 σ 2) . {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}\exp {\left(-{\frac {(x-\mu)^{2}}{2\sigma ^{2}}}\right)}\,.} The parameter ⁠ μ {\displaystyle \mu } ⁠ is the mean or expectation of the distribution (and also its median and mode), while the parameter σ 2 {\textstyle \sigma ^{2}} is the variance.

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