Statistics Dictionary

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Negative Binomial Probability

Negative binomial probability refers to the probability that a negative binomial experiment results in r - 1 successes after trial x - 1 and r successes after trial x.

Given x, r, and p, we can compute the negative binomial probability based on the following formula:

Negative Binomial Formula. Suppose a negative binomial experiment consists of x trials and results in r successes. If the probability of success on an individual trial is p, then the negative binomial probability is:

b*(x; r, p) = x-1Cr-1 * pr * qx - r

where x-1Cr-1 refers to the number of combinations of x-1 things, taken r-1 at a time.

See also:   Tutorial: Negative Binomial Probability Distribution | Negative Binomial Calculator