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This site provides examples, Java applets and theoretical formulation of the Normal approximation to Binomial distribution.
A complete description of the Gamma distribution, its properties and applications (including examples and Normal approximation).
This chapter of the Probability and Statistics EBook contains the basic properties of the Gamma Distribution, explains the basis for the Normal approximation to Gamma and shows examples.
Normal approximation to the Negative Binomial is valid when the number of required successes, \(s\), is large, and the probability of success, \(p\), is neither very small nor very large.
This page includes the theory and applications of Negative Binomial Distribution, and the conditions for validity of Normal approximation to Negative Binomial.

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