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# Normal Distribution

## Parameters

- continuous scale parameter ()
- continuous location parameter

## Cumulative Distribution Function

where is the Laplace Integral.

## Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("Normal";Data) ``` Probability Density Function `NormalPdf(x,sigma,mu)` ``` =NormalPdf(sigma;mu) =DistPdf("Normal(sigma;mu)";x) ``` Cumulative Distribution Function `NormalCdf(x,sigma,mu)` ``` =NormalCdf(sigma;mu) =DistCdf("Normal(sigma;mu)";x) ``` Survival Function `NormalSurv(x,sigma,mu)` ``` =DistSurv("Normal(sigma;mu)";x) ``` Hazard Function `NormalHaz(x,sigma,mu)` ``` =NormalHaz(sigma;mu) =DistHaz("Normal(sigma;mu)";x) ``` Cumulative Hazard Function `NormalCumHaz(x,sigma,mu)` ``` =DistCumHaz("Normal(sigma;mu)";x) ``` Inverse CDF (Quantile Function) `NormalInv(P,sigma,mu)` ``` =NormalInv(sigma;mu) =DistInv("Normal(sigma;mu)";P) ``` Random Numbers `NormalRand(sigma,mu)` ``` =NormalRand(sigma;mu) =DistRand("Normal(sigma;mu)") ``` Mode `NormalMode(sigma,mu)` ``` =DistMode("Normal(sigma;mu)") ``` Mean `NormalMean(sigma,mu)` ``` =NormalMean(sigma;mu) =DistMean("Normal(sigma;mu)") ``` Variance `NormalVar(sigma,mu)` ``` =NormalVar(sigma;mu) =DistVar("Normal(sigma;mu)") ``` Standard Deviation `NormalStdev(sigma,mu)` ``` =NormalStdev(sigma;mu) =DistStdev("Normal(sigma;mu)") ``` Skewness `NormalSkew(sigma,mu)` ``` =DistSkew("Normal(sigma;mu)") ``` (Excess) Kurtosis `NormalKurt(sigma,mu)` ``` =DistKurt("Normal(sigma;mu)") ```