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 Excel > Functions > Statistical > BINOMDIST

 

BINOMDIST(number_s, trials, probability_s, cumulative)

 
 Returns the individual term binomial distribution probability.

 number_sThe number of successes out of the "trials".
 trialsThe number of independent trials.
 probability_sThe probability of success on each trial.
 cumulativeTrue or False to specify the form of the function.

 REMARKS
 
  • The "number_s" and "trials" are truncated to integers.
     
  • If "number_s" is not numeric, then #VALUE! is returned.
     
  • If "cumulative" = True, it returns the cumulative distribution function, which is the probability that there are at most "number_s" successes.
     
  • If "cumulative" = False, it returns the probability mass function, which is the probability that there are "number_s" successes.
     
  • If "number_s" < 0, then #NUM! is returned.
     
  • If "number_s" > "trials", then #NUM! is returned.
     
  • If "trials" is not numeric, then #VALUE! is returned.
     
  • If "probability_s" < 0, then #NUM! is returned.
     
  • If "probability_s" > 1, then #NUM! is returned.
     
  • If "probability_s" is not numeric, then #VALUE! is returned.
     
  • This function should be used when you have a fixed number of trials and the outcome of any trial can only be success or failure.
     
  • This function should be used when all the trials are independent and when the probability of success is constant throughout the experiment.
     
  • The accuracy of this function was improved in Excel 2003. For more information please refer to this Knowledge Base Article (827459).

     EXAMPLES
     
     A
    1=BINOMDIST(1,2,0.5,FALSE) = 0.5
    2=BINOMDIST(6,10,0.5,FALSE) = 0.205
    3=BINOMDIST(6,12,0.5,TRUE) = 0.613
    4=BINOMDIST(6,12,0.5,FALSE) = 0.226
    5=BINOMDIST(2,3,0.5,FALSE) = 0.375
    6=BINOMDIST(6,10,-0.5,FALSE) = #NUM!
    7=BINOMDIST(6,"some text",0.5,FALSE) = #VALUE!
     

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