# Poisson Distribution

In Bombay, India air pollution standards for particulate matter are exceeded an average of 5.6 days in every 3 week period. Assume that the distribution of the number of days exceeding the standards per three week period is Poisson distributed.

What is the probability that the standard is not exceeded on any day during a three week period?

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#### Solution Preview

Let X denote the number of days exceeding the standards per three-week period.

Here it is given that X follows a Poisson distribution ...

#### Solution Summary

The solution contains the determination of probability using Poisson distribution.

$2.19