# NEGBINOM.DIST

NEGBINOM.DIST(number_f, number_s, probability_s, cumulative)

Returns the probability distribution function OR the cumulative probability function for a negative binomial distribution.

 number_f The number of failures. number_s The threshold number of successes. probability_s The probability of a success. cumulative A logical value indicating the type of function to use:False (or 0) = [[probability distribution function]] (equal to)True (<> 0) = [[cumulative probability function]] (equal to or less than)

 REMARKS
 * This function was added in Excel 2010 to replace the NEGBINOMDIST function and include an option for cumulative probability.* The negative binomial distribution is a [[discrete distribution]].* This function 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".* For example, you need to find 10 people with excellent reflexes, and you know the probability that a candidate has these qualifications is 0.3.* This function calculates the probability that you will interview a certain number of unqualified candidates before finding all 10 qualified candidates.* The "number_f" and "number_s" are truncated to integers.* If any of the arguments are not numeric, then #VALUE! is returned* If "probability_s" < 0, then #NUM! is returned.* If "probability_s" > 1, then #NUM! is returned.* If "cumulative" = False, then the height of the curve at "x" is returned.* If "cumulative" = True, then the area under the curve to the left of "x" is returned.* If ("number_f" + "number_s" - 1) = 0, then #NUM! is returned.* The equation for the negative binomial distribution is: ??* You can use the BINOM.DIST function to * You can use the BINOM.DIST.RANGE function to * You can use the BINOM.INV function to return the probability of getting (greater than) a particular value using a binomial distribution.* For the Microsoft documentation refer to support.microsoft.com

 A 1 =NEGBINOM.DIST(0, 1, 0.25, FALSE) = 0.25 2 =NEGBINOM.DIST(0, 1, 0.5, FALSE) = 0.5 3 =NEGBINOM.DIST(1, 6, 0.5, FALSE) = 0.047 4 =NEGBINOM.DIST(10, 5, 0.25, FALSE) = 0.055 5 =NEGBINOM.DIST(10, 5, -4, FALSE) = #NUM! 6 =NEGBINOM.DIST(10, "some text", 0.25, FALSE) = #VALUE!

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