Difference between revisions of "Normal Command"
From GeoGebra Manual
(removed extra CAS syntax) |
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | ||
− | ;Normal | + | ;Normal( <Mean>, <Standard Deviation>, x ) |
:Creates probability density function (pdf) of [[w:Normal distribution|normal distribution]]. | :Creates probability density function (pdf) of [[w:Normal distribution|normal distribution]]. | ||
− | ;Normal | + | ;Normal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ) |
:If ''Cumulative'' is true, creates cumulative distribution function of normal distribution with mean μ and standard deviation σ, otherwise creates pdf of normal distribution. | :If ''Cumulative'' is true, creates cumulative distribution function of normal distribution with mean μ and standard deviation σ, otherwise creates pdf of normal distribution. | ||
− | ;Normal | + | ;Normal( <Mean μ>, <Standard Deviation σ>, <Variable Value v> ) |
:Calculates the function <math>\Phi \left(\frac{x- \mu}{\sigma} \right) </math> at ''v'' where ''Φ'' is the cumulative distribution function for ''N(0,1)'' with mean ''μ'' and standard deviation ''σ''. | :Calculates the function <math>\Phi \left(\frac{x- \mu}{\sigma} \right) </math> at ''v'' where ''Φ'' is the cumulative distribution function for ''N(0,1)'' with mean ''μ'' and standard deviation ''σ''. | ||
:{{note| Returns the probability for a given ''x''-coordinate's value (or area under the normal distribution curve to the left of the given ''x''-coordinate).}} | :{{note| Returns the probability for a given ''x''-coordinate's value (or area under the normal distribution curve to the left of the given ''x''-coordinate).}} | ||
:{{example| 1=<div><code><nowiki>Normal[2, 0.5, 1]</nowiki></code> yields ''0.02'' in the [[File:Menu view algebra.svg|links=|16px]] [[Algebra View]] and <math>\frac{erf(-\sqrt{2})+1}{2}</math> in the [[File:Menu view cas.svg|links=|16px]] [[CAS View]].</div>}} | :{{example| 1=<div><code><nowiki>Normal[2, 0.5, 1]</nowiki></code> yields ''0.02'' in the [[File:Menu view algebra.svg|links=|16px]] [[Algebra View]] and <math>\frac{erf(-\sqrt{2})+1}{2}</math> in the [[File:Menu view cas.svg|links=|16px]] [[CAS View]].</div>}} |
Revision as of 17:16, 7 October 2017
- Normal( <Mean>, <Standard Deviation>, x )
- Creates probability density function (pdf) of normal distribution.
- Normal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> )
- If Cumulative is true, creates cumulative distribution function of normal distribution with mean μ and standard deviation σ, otherwise creates pdf of normal distribution.
- Normal( <Mean μ>, <Standard Deviation σ>, <Variable Value v> )
- Calculates the function \Phi \left(\frac{x- \mu}{\sigma} \right) at v where Φ is the cumulative distribution function for N(0,1) with mean μ and standard deviation σ.
- Note: Returns the probability for a given x-coordinate's value (or area under the normal distribution curve to the left of the given x-coordinate).
- Example: