Rockwell Automation Arena Users Guide - Manual (Page 131)

A • S TATISTICAL D ISTRIBUTIONS
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A •
Stati
stica
l Di
str
ibution
s
Normal(
μ
,
σ
)NORMAL(Mean, StdDev) or NORM(Mean, StdDev)
The mean ( μ ) specified as a real number and standard deviation ( σ ) specified as a positive
real number.
( − ∞, + ∞ )
μ
σ 2
The normal distribution is used in situations in which the central limit theorem applies;
i.e., quantities that are sums of other quantities. It is also used empirically for many
processes that appear to have a symmetric distribution. Because the theoretical range is
from -
∞ to + ∞, the distribution should only be used for positive quantities like
processing times.
Probability
Density
Function
) 2 /( ) ( 2 2
2
1
) (
σ μ
π σ
− − = x e x f
for all real x
Parameters
Range
Mean
Variance
Applications