Normal distribution/Definition: Difference between revisions

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Citable Version ^[?]

A definition or brief description of Normal distribution.

a symmetrical bell-shaped probability distribution having the probability function

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

where

\scriptstyle {\sigma }\

is the standard deviation, and,

\scriptstyle {\mu }\

is the mean.

@@ Line 3: / Line 3: @@
 :<math>
 f(x;\mu,\sigma) =
-\frac{1}{\sigma\sqrt{2\pi}} \, e^{ -\frac{(x- \mu)^2}{2\sigma^2}},</math> where <math> \scriptstyle{\sigma} \ </math> is the [[standard deviation]], and, <math> \scriptstyle{\mu} \ </math> is the [[expected value]]
+\frac{1}{\sigma\sqrt{2\pi}} \, e^{ -\frac{(x- \mu)^2}{2\sigma^2}},</math> where <math> \scriptstyle{\sigma} \ </math> is the ''standard deviation'', and, <math> \scriptstyle{\mu} \ </math> is the mean.