Maintenance script: Initial automated import

2016-02-24T18:16:20Z

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{{Template:TI-BASIC:Command
|picture=NORMALPDF.GIF
|summary=Evaluates the normal probability density function at a point.
|syntax=normalpdf(''x''[,''μ'', ''σ''])
|location=Press:
# 2ND DISTR to access the distribution menu
# ENTER to select normalpdf(.
|compatibility=TI-83/84/+/SE
|size=2 bytes
}}

normalpdf( is the normal (Gaussian) probability density function.

Since the normal distribution is continuous, the value of normalpdf( doesn't represent an actual probability - in fact, one of the only uses for this command is to draw a graph of the normal curve. You could also use it for various calculus purposes, such as finding inflection points.

The command can be used in two ways: normalpdf(''x'') will evaluate the standard normal p.d.f. (with mean at 0 and a standard deviation of 1) at ''x'', and normalpdf(''x'',''μ'',''σ'') will work for an arbitrary normal curve, with mean ''μ'' and standard deviation ''σ''.

= Formulas =

For the standard normal distribution, normalpdf(''x'') is defined as
{{Template:TI-BASIC:Math
|eqn= \operatorname{normalpdf}(x)=\frac1{\sqrt{2\pi\,}} \, e^{-\frac1{2}x^2}
}}

For other normal distributions, normalpdf( is defined in terms of the standard distribution:
{{Template:TI-BASIC:Math
|eqn= \operatorname{normalpdf}(x,\mu,\sigma)=\frac{1}{\sigma} \, \operatorname{normalpdf} \left(\frac{x-\mu}{\sigma}\right)
}}

= Related Commands =

* [[TI-BASIC:Normalcdf|Normalcdf(]]
* [[TI-BASIC:Invnorm|InvNorm(]]
* [[TI-BASIC:Shadenorm|ShadeNorm(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Normalpdf - Revision history

Maintenance script: Initial automated import