Manuals/calci/POISSONDISTRIBUTION

POISSONDISTRIBUTED(a,b)

• $a$ 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 $\mu$.
• Then, the Poisson probability is:

$P(x;\mu )={\frac {(e^{-\mu })(\mu ^{x})}{x!}}$

• 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:

1. The mean of the distribution is equal to $\mu$ .
2. The variance is also equal to $\mu$ .

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

Examples

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

See Also

• poisson
• EXPONDIST

References

Poisson Probability Distribution