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 Microsoft Excel > Functions > Statistical > NEGBINOMDIST

 

NEGBINOMDIST(number_f, number_s, probability_s)

 
 Returns the negative binomial distribution.

 number_fThe number of failures.
 number_sThe threshold number of successes.
 probability_sThe probability of a success.

 REMARKS
 
  • 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".
     
  • 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 to be independent.
     
  • 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 ("number_f" + "number_s" - 1) = 0, then #NUM! is returned.
     
  • The equation for the negative binomial distribution is: ??
     
  • The accuracy of this function was improved in Excel 2003. For more information please refer to this Knowledge Base Article (828361).

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

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