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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.

Syntax

CRITBINOM(trials,probability_s,alpha)

Trials     is the number of Bernoulli trials.

Probability_s     is the probability of a success on each trial.

Alpha     is 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

Trials

Probability_s

Alpha

Formula

Description (Result)

6

0.5

0.75

=CRITBINOM([Trials],[Probability_s],[Alpha])

Smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value (4)

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