Normal Command

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.