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# Getting Started

## A • STATISTICAL

A • STATISTICAL DISTRIBUTIONS Normal(, ): NORMAL(Mean, StdDev) or NORM(Mean, StdDev) Probability Density Function for all real x Parameters The mean () specified as a real number and standard deviation () specified as a positive real number. Range ( ) Mean Variance 2 Applications The normal distribution is used in situations in which the central limit theorem applies; that is, 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. 163

GETTING STARTED WITH ARENA Poisson(): POISSON(Mean) or POIS(Mean) Probability Mass Function p(x)= e – x ------------- for x {0, 1, ...} x! 0 otherwise Parameters The mean () specified as a positive real number. Range {0, 1, . . .} Mean Variance Applications The Poisson distribution is a discrete distribution that is often used to model the number of random events occurring in a fixed interval of time. If the time between successive events is exponentially distributed, then the number of events that occur in a fixed-time interval has a Poisson distribution. The Poisson distribution is also used to model random batch sizes. 164

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