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Find the Mean of the Poisson Random Variable λ=1.8\lambda = 1.8

question 9

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Find the mean of the Poisson random variable.
-In one town, the number of burglaries in a week has a Poisson distribution with parameter λ=1.8\lambda = 1.8 . Let XX denote the number of burglaries in the town in a randomly selected week. Find the mean of X.

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Definitions:

Paired-difference Experiment

An experimental design where the observations are made in pairs, and the analysis is based on the differences within each pair.

Rejection Region

The range of values for which the null hypothesis is not considered likely and is rejected in a statistical test.

Nonparametric Tests

Statistical tests that do not assume the data come from a particular distribution, often used when dealing with ordinal data or when the normality assumption is violated.

Parametric Tests

Statistical tests based on assumptions about the population distribution from which the sample is drawn, typically involving parameters like mean and standard deviation.

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