Difference between revisions of "Manuals/calci/POISSONDISTRIBUTION"
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==References== | ==References== | ||
[http://stattrek.com/probability-distributions/poisson.aspx Poisson Probability Distribution ] | [http://stattrek.com/probability-distributions/poisson.aspx Poisson Probability Distribution ] | ||
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Latest revision as of 06:56, 27 October 2015
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