Difference between revisions of "Normal Command"
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Revision as of 13:47, 10 September 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).
- Example:
Normal[2, 0.5, 1]
yields 0.5 erf(-\sqrt{2}) + 0.5.