# Manuals/calci/POISSONDISTRIBUTED

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**POISSONDISTRIBUTED(Numbers,Lambda)**

- is the number of random numbers to display.
- is the mean value.

## 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(3,3) = 2 1 3
- POISSONDISTRIBUTED(5,45) = 37 39 45 35 47
- POISSONDISTRIBUTED(7,67.45) = 79.45 65.45 75.45 72.45 83.45 74.45 77.45

## Related Videos

## See Also

## References

Poisson Probability Distribution