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Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value. Use this function for quality assurance applications. For example, use CRITBINOM to determine the greatest number of defective parts that are allowed to come off an assembly line run without rejecting the entire lot.

Important: This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.

## Syntax

CRITBINOM(trials,probability_s,alpha)

The CRITBINOM function syntax has the following arguments:

• Trials     Required. The number of Bernoulli trials.

• Probability_s     Required. The probability of a success on each trial.

• Alpha     Required. The criterion value.

## Remarks

• If any argument is nonnumeric, CRITBINOM returns the #VALUE! error value.

• If trials is not an integer, it is truncated.

• If trials < 0, CRITBINOM returns the #NUM! error value.

• If probability_s is <= 0 or probability_s => 1, CRITBINOM returns the #NUM! error value.

• If alpha <= 0 or alpha => 1, CRITBINOM returns the #NUM! error value.

## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

Description

6

Number of Bernoulli trials

0.5

Probability of a success on each trial

0.75

Criterion value

Formula

Description

Result

=CRITBINOM(A2,A3,A4)

Smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value

4

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