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


  • 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:
  1. The mean of the distribution is equal to .
  2. The variance is also equal to .
  • This function will give the result as error when b<0 and a value is not an integer.


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

Related Videos

Poisson Distribution

See Also


Poisson Probability Distribution