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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.

binom-inv function 1


Syntax

=BINOM.INV(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 greater than or equal to 0 and less than or equal to 1.
  • Alpha (required): The probability of the Cumulative Binomial Distribution. It must be greater than 0 and less than 1.

Return value

The BINOM.INV function returns a numeric value.


Function notes

  1. If the trials argument is not an integer, the BINOM.INV function will truncate it to an integer.
  2. The #VALUE! error value occurs when any of the arguments is non-numeric.
  3. The #NUM! error value occurs if:
    • the supplied trials argument is < 0
    • the supplied probability_s argument is < 0 or > 1
    • the supplied alpha argument is < = 0 or > = 1
  4. The BINOM.INV function is newly introduced in Excel 2010, so it is not available in earlier versions of Excel.

Example

In this case, we want 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 do as follows.

1. Please copy the formula below into cell F6, then press the Enter key to get the result.

=BINOM.INV(B6,C6,D6)

2.Select this result cell and drag its autofill handle down to get the rest of the results.

binom-inv function 2

Notes:

  1. We can also directly input a value in the formula. For example, the formula in cell F6 can be changed to:

    =BINOM.INV(100,0.5,0.1)

Relative Functions:

  • Excel EVEN Function
    The EVEN function rounds numbers away from zero to the nearest even integer.

  • Excel EXP Function
    The EXP function returns the result of the constant e raised to the nth power.


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