Difference between revisions of "Normal distribution"

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(added formula for pdf)
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The normal probability density function (PDF) is
 
The normal probability density function (PDF) is
 
:<math>
 
:<math>
−
p(x)=\frac{1}{\sqrt{2\pi\sigma^2}}
+
f(x)=\frac{1}{\sqrt{2\pi\sigma^2}}
 
\exp\left[-\frac{1}{2\sigma^2}\left(x-\mu\right)^2\right]
 
\exp\left[-\frac{1}{2\sigma^2}\left(x-\mu\right)^2\right]
 
</math>
 
</math>

Revision as of 12:17, July 1, 2008

The normal distribution is another name for the bell curve. The normal probability density function (PDF) is

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=\frac{1}{\sqrt{2\pi\sigma^2}} \exp\left[-\frac{1}{2\sigma^2}\left(x-\mu\right)^2\right] }

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu} is the mean and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma^2} is the variance.