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Statistical function

NEGBINOM.DIST

Returns the negative binomial distribution: the probability of a number of failures before a given number of successes.

Rarely usedDifficulty 1550 · AdvancedUsage rank #451 of 520
Practice · 2 questions →

When to use it

The negative binomial distribution: the probability of a number of failures before a target number of successes. Also used for over-dispersed counts.

The shape of it

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

Worked examples

  • Exactly ten failures

    =NEGBINOM.DIST(10,5,0.25,FALSE) 0.0550487

    Exactly 10 failures before the 5th success at a 25% success rate.

  • Ten or fewer

    =NEGBINOM.DIST(10,5,0.25,TRUE) 0.3135141

    Ten or fewer failures.

  • First try

    =NEGBINOM.DIST(0,1,0.5,FALSE) 0.5

    Success on the first try at 50%.

Worth knowing

  • Sales calls until the third yes: failures before 3 successes.
  • Use it for counts whose variance exceeds the mean, where Poisson underfits.
  • Introduced with the cumulative flag in Excel 2010.

Where it goes wrong

  • #NUM! when p is outside 0 to 1 or counts are negative.
  • Non-integers are truncated.

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