Poisson distribution
discrete probability distribution
In probability and statistics, Poisson distribution is a probability distribution. It is named after Siméon Denis Poisson. It measures the probability that a certain number of events occur within a certain period of time. The events need to be unrelated to each other. They also need to occur with a known average rate, represented by the symbol (lambda).[1]
More specifically, if a random variable follows Poisson distribution with rate , then the probability of the different values of can be described as follows:[2][3]
- for
Examples of Poisson distribution include:
- The numbers of cars that pass on a certain road in a certain time
- The number of telephone calls a call center receives per minute
- The number of light bulbs that burn out (fail) in a certain amount of time
- The number of mutations in a given stretch of DNA after a certain amount of radiation
- The number of errors that occur in a system
- The number of Property & Casualty insurance claims experienced in a given period of time
Related pages
changeReferences
change- ↑ "List of Probability and Statistics Symbols". Math Vault. 2020-04-26. Retrieved 2020-10-06.
- ↑ "1.3.6.6.19. Poisson Distribution". www.itl.nist.gov. Retrieved 2020-10-06.
- ↑ Weisstein, Eric W. "Poisson Distribution". mathworld.wolfram.com. Retrieved 2020-10-06.