Normal Command

Normal( <Mean>, <Standard Deviation>, x )

Creates cumulative density function (cdf) 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 \Phi \left(\frac{x- \mu}{\sigma} \right) 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).

Example: Normal(2, 0.5, 1) yields 0.02 in the Algebra View and \frac{erf(-\sqrt{2})+1}{2} in the CAS View.