Difference between revisions of "Normal Command"
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: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 | + | :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)''. | ; 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).}} | :{{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).}} | ||
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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 | + | : Calculates the function ''Φ((x – μ) / σ)'' where ''Φ'' is the cumulative distribution function for ''N(0,1)''. |
Revision as of 10:24, 2 August 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 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 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 distribution function for N(0,1).
