# Normal Command

##### Command Categories (All commands)

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 \mathrm{\mathsf{ \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 \mathrm{\mathsf{ \frac{erf(-\sqrt{2})+1}{2} }} in the CAS View.
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