The NEGBINOMDIST function replaces the NEGBINOM.DIST function in Excel 2010.

Description

The function returns the negative binomial distribution. NEGBINOMDIST returns the probability that there will be number_f failures before the number_s-th success, when the constant probability of a success is probability_s.

This function is similar to the binomial distribution, except that the number of successes is fixed, and the number of trials is variable. Like the binomial, trials are assumed independent.

Syntax

NEGBINOMDIST (number_f,number_s,probability_s)

Arguments

Argument	Description	Required/ Optional
Numbre_f	The number of failures.	Required
Number_s	The threshold number of successes.	Required
Probability_s	The probability of a success.	Required

Notes

The equation for the negative binomial distribution is −

$$nb(x;r,p) = \binom{x+r-1}{r-1}p^r(1-p)^n$$

Where −

x is number_f, r is number_s, and p is probability_s.
Number_f and number_s are truncated to integers.
If any argument is nonnumeric, NEGBINOMDIST returns the #VALUE! error value.
If probability_s < 0 or if probability > 1, NEGBINOMDIST returns the #NUM! error value.
If number_f < 0 or number_s < 1, NEGBINOMDIST returns the #NUM! error value.

Example

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