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.
