Difference between revisions of "Normal Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} |
| − | {{command|cas=true|probability}} | + | ;Normal( <Mean>, <Standard Deviation>, x ) |
| − | ;Normal | + | :Creates cumulative density function (cdf) of [[w:Normal distribution|normal distribution]]. |
| − | :Creates | + | |
| − | ;Normal | + | ;Normal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ) |
| − | :If ''Cumulative'' is true, creates cumulative distribution function of normal distribution, 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 | + | |
| − | :Calculates the function | + | ;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''. | ||
:{{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=<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]].}} | |
| − | |||
| − | :{{example| 1= | ||
Latest revision as of 11:13, 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.
