Variance of Poisson random variable

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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?

© BrainMass Inc. brainmass.com June 3, 2020, 7:51 pm ad1c9bdddf
https://brainmass.com/statistics/probability/variance-poisson-random-variable-114410

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.

$2.19