Difference between revisions of "Normal Command"
From GeoGebra Manual
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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( <Mean>, <Standard Deviation>, x ) | ;Normal( <Mean>, <Standard Deviation>, x ) | ||
− | :Creates | + | :Creates cumulative density function (cdf) of [[w:Normal distribution|normal distribution]]. |
;Normal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ) | ;Normal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ) | ||
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:{{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= | + | :{{example| 1=<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]].}} |
Latest revision as of 10:13, 30 July 2019
- Normal( <Mean>, <Standard Deviation>, x )
- Creates cumulative density function (cdf) 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:
Normal(2, 0.5, 1)
yields 0.02 in the Algebra View and \frac{erf(-\sqrt{2})+1}{2} in the CAS View.