# Manuals/calci/POISSONDISTRIBUTION

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**POISSONDISTRIBUTED(a,b)**

- is the number of random numbers to display.

## Description

- This function shows the random variables of Poisson distribution.
- It is a discrete frequency distribution which gives the probability of a number of independent events occurring in a fixed time.
- A Poisson random variable is the number of successes that result from a Poisson experiment.
- The probability distribution of a Poisson random variable is called a Poisson distribution.
- Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is .
- Then, the Poisson probability is:

- where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828.
- The Poisson distribution has the following properties:

- The mean of the distribution is equal to .
- The variance is also equal to .

- This function will give the result as error when b<0 and a value is not an integer.

## Examples

- POISSONDISTRIBUTED(2,3) = 2 4
- POISSONDISTRIBUTED(7,23) = 23 26 22 22 24 23 20
- POISSONDISTRIBUTED(3,-7) = Null