Difference between revisions of "Normal Command"

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{{command|probability}}
 
{{command|probability}}
 
;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 probability 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 probability density function for ''N(0,1)''.
 
:{{Note| Returns the probability for a given ''x''-coordinate 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 value (or area under the normal distribution curve to the left of the given ''x''-coordinate).}}

Revision as of 22:43, 17 June 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 probability density function for N(0,1).
Note: Returns the probability for a given x-coordinate value (or area under the normal distribution curve to the left of the given x-coordinate).
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