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.

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).

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