# Variance of Poisson random variable

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The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?

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#### Solution Preview

For a Poisson distribution mean = Variance

Thus Variance= Mean = 6

Please see attached file.

Poisson ...

#### Solution Summary

The solution gives calculation of variance of Poisson random variable. The number of false alarms variance is examined.

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