Difference between revisions of "Normal Command"
From GeoGebra Manual
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:Calculates the function ''Φ((x – μ) / σ)'' at ''v'' where ''Φ'' is the cumulative distribution function for ''N(0,1)''. | :Calculates the function ''Φ((x – μ) / σ)'' at ''v'' where ''Φ'' is the cumulative distribution function for ''N(0,1)''. | ||
:{{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).}} | ||
| − | ==CAS | + | ==CAS Syntax== |
| − | |||
;Normal[ <Mean μ>, <Standard Deviation σ>, <Variable Value x> ] | ;Normal[ <Mean μ>, <Standard Deviation σ>, <Variable Value x> ] | ||
:Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative distribution function for ''N(0,1)''. | :Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative distribution function for ''N(0,1)''. | ||
:{{example| 1=<div><code><nowiki>Normal[2, 0.5, 1]</nowiki></code> yields <math>\frac{\sqrt{2}}{\sqrt{\pi }e²}</math>.</div>}} | :{{example| 1=<div><code><nowiki>Normal[2, 0.5, 1]</nowiki></code> yields <math>\frac{\sqrt{2}}{\sqrt{\pi }e²}</math>.</div>}} | ||
Revision as of 11:34, 30 November 2012
- Normal[ <Mean μ>, <Standard Deviation σ>, <x> ]
- Creates probability density function (pdf) of normal distribution.
- Normal[ <Mean μ>, <Standard Deviation σ>, <x>, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of normal distribution, otherwise creates pdf of normal distribution.
- Normal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]
- Calculates the function Φ((x – μ) / σ) at v where Φ is the cumulative distribution function for N(0,1).
- 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).
CAS Syntax
- Normal[ <Mean μ>, <Standard Deviation σ>, <Variable Value x> ]
- Calculates the function Φ((x – μ) / σ) where Φ is the cumulative distribution function for N(0,1).
- Example:
Normal[2, 0.5, 1]yields \frac{\sqrt{2}}{\sqrt{\pi }e²}.
