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Resources Calculating probabilities on a Poisson distribution: Poisson Distribution Calculator This web calculator allows users to specify the Poisson parameter (λ) and number of occurrences (x).
Scott M. Lesch, Daniel R. Jeske, Some Suggestions for Teaching About Normal Approximations to Poisson and Binomial Distribution Functions, The American Statistician, Vol. 63, No. 3 (AUGUST 2009), pp.
Moreover, gamma distributions (integer shape parameters) are limits of negative binomial distributions, and the normal distribution is a limit of negative binomial, Poisson, and gamma distributions.