The following formula is involved in the calculation of cumulative Poisson probability values:
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Poisson distribution cumulative distribution function (CDF):

where k is the number of event occurrences and λ is the expected number of event occurrences.
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The following references can be used to cite this cumulative poisson probability calculator:
 | Soper, D.S. (2013). Cumulative Poisson Probability Calculator [Software]. Available from http://www.danielsoper.com/statcalc |
 | Keller, G. (2011). Statistics for Management and Economics (9th edition). Mason, OH: South-Western Cengage. |