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A • STATISTICAL DISTRIBUTIONS<br />

Normal(, ): NORMAL(Mean, StdDev) or NORM(Mean, StdDev)<br />

Probability<br />

Density<br />

Function<br />

for all real x<br />

Parameters<br />

The mean () specified as a real number and standard deviation () specified as a<br />

positive real number.<br />

Range<br />

( )<br />

Mean<br />

<br />

Variance 2<br />

Applications<br />

The normal distribution is used in situations in which the central limit theorem<br />

applies; that is, quantities that are sums of other quantities. It is also used empirically<br />

for many processes that appear to have a symmetric distribution. Because the<br />

theoretical range is from - to + , the distribution should only be used for positive<br />

quantities like processing times.<br />

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