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Mathematica > Discrete Statistical Distributions >

Built-in Mathematica Symbol

NegativeBinomialDistribution

NegativeBinomialDistribution[n, p]
represents a negative binomial distribution with parameters n and p.

The probability for value x in a negative binomial distribution is for non-negative integers, and is zero otherwise. »

If n is a positive integer, NegativeBinomialDistribution[n, p] gives the distribution of the number of failures in a sequence of trials with success probability p before n successes occur.

Mean and variance of a negative binomial distribution:

Probability density function:

(2)