Normal Command
From GeoGebra Manual
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- Normal[ <Mean>, <Standard Deviation>, x ]
- Creates probability density function (pdf) 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 Φ((x – μ) / σ) 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).
CAS Syntax
- Normal[ <Mean>, <Standard Deviation>, <Variable Value> ]
- Calculates the function Φ((x – μ) / σ) where Φ is the cumulative distribution function for N(0,1) with mean μ and standard deviation σ.
- Example:
Normal[2, 0.5, 1]
yields \frac{-erf(2/\sqrt{2})+1}{2}.