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Excel CRITBINOM Function

The CRITBINOM function returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.

Note: The CRITBINOM function has been replaced with BINOM.INV with improved accuracy. Although CRITBINOM is still available in current versions of Excel, you should consider using the new function from now on, because CRITBINOM may not be available in Excel’s future versions.

critbinom function 1


Syntax

=CRITBINOM(trials, probability_s, alpha)


Arguments

  • trials (required): The number of independent trials. It must be greater than or equal to 0.
  • probability_s (required): The probability of success in each trial. It must be between 0 and 1.
  • alpha (required): The criterion value of the Cumulative Binomial Distribution. It must be between 0 and 1.

Return Value

The CRITBINOM function returns a numeric value.


Function Notes

  • If trials is not an integer, the CRITBINOM will truncate it to an integer.
  • The #VALUE! error value occurs when any of the arguments is non-numeric.
  • The #NUM! error value occurs if:
    • trials < 0.
    • probability_s ≤ 0 or probability_s ≥ 1.
    • alpha ≤ 0 or alpha ≥ 1.

Example

To calculate the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value based on the data provided in the table below, please copy or enter the below formula in the result cell (D7), and press Enter to get the result.

=CRITBINOM(B7,B10,B13)

critbinom function 2

Also, you can type the actual trials, probability_s, and alpha values in the formula as shown below.

=CRITBINOM(100,0.5,0.1)


Related functions

Excel BINOM.INV Function

The BINOM.INV function returns the minimum value for which the cumulative binomial distribution is greater than or equal to a criterion.

Excel BINOM.DIST Function

The BINOM.DIST function returns the individual term binominal distribution probability, which can be used to calculate the probability of a specified number of successes out of a given number of trials.

Excel PROB Function

The Excel PROB function returns the probability that values in a range are between two limits, which is frequently used to estimate business losses or used by a risk manager to analyze the financial probability.


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