Difference between revisions of "Normal Command"

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{{command|probability}}
 
{{command|probability}}
 
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;Normal[ <Mean μ>, <Standard Deviation σ>, x ]
+
;Normal[Mean μ, Standard Deviation σ, x ]
 
:Creates probability density function (pdf) of [[w:Normal distribution|normal distribution]].
 
:Creates probability density function (pdf) of [[w:Normal distribution|normal distribution]].
;Normal[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative>]
+
;Normal[Mean μ, Standard Deviation σ, x, Boolean Cumulative]
 
:If ''Cumulative'' is true, creates cumulative density function of normal distribution, otherwise creates pdf of normal distribution.
 
:If ''Cumulative'' is true, creates cumulative density function of normal distribution, otherwise creates pdf of normal distribution.
; Normal[<Mean μ>, <Standard Deviation σ>, <Variable Value x>]: Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative density function for ''N(0,1)''.
+
; Normal[Mean μ, Standard Deviation σ, Variable Value x]: Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative density 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 Syntaxes==
 
==CAS Syntaxes==
 
In [[CAS View]] only following syntax is supported:
 
In [[CAS View]] only following syntax is supported:
;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 density function for ''N(0,1)''.
 
: Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative density function for ''N(0,1)''.

Revision as of 08:20, 8 July 2011


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 density function of normal distribution, otherwise creates pdf of normal distribution.
Normal[Mean μ, Standard Deviation σ, Variable Value x]
Calculates the function Φ((x – μ) / σ) where Φ is the cumulative density 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 Syntaxes

In CAS View only following syntax is supported:

Normal[Mean μ, Standard Deviation σ, Variable Value x]
Calculates the function Φ((x – μ) / σ) where Φ is the cumulative density function for N(0,1).
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