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Poisson Distribution (Graphical)

Poisson Distribution (Graphical)

Poisson Distribution:

Poisson distribution is a discrete distribution, completely characterized by one parameter Math image :

Math image

(where k! = 1 x 2 x ... x k).

Both the mean and the variance of Poisson distribution are equal to Math image .

Poisson distribution describes the number of random events on an interval in space and time. If t is duration (or length) of the interval, and Math image is the rate of the events (i.e. the average number of events per a unit interval), then Math image . See also Poisson process for more precise definition of "random events".

For large enough values of the parameter Math image , Poisson distribution is close to a normal distribution with the mean and the variance equal to Math image .

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