Useful in estimating the number of occurrences over a specified interval of time or space.
Characteristics
1. It is a discrete distribution.
2. It describes rare events.
3. Each occurrence is independent to other occurrence.
4. It describes discrete occurrences over an interval.
5. The occurrences in each interval can range from zero to infinity.
6. The expected number (average=mean) of occurrences are constant throughout the experiment.
Application of Poisson Distribution
Some of the common examples where Poisson random variable can be used to define the probability distribution are
1. Number of accidents per day on expressway.
2. Number of earthquakes occurring over fixed time span.
3. Number of misprints on a page.
4. Number of arrivals of calls on telephone exchange per minute.
5. Number of interrupts per second on a server.
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