BINOM.DIST.RANGE function

Basic Description

Returns the probability of a trial result using a binomial distribution.

Syntax: BINOM.DIST.RANGE(trials,probability_s,number_s,[number_s2])

The BINOM.DIST.RANGE function syntax has the following arguments.

  • Trials    Required. The number of independent trials. Must be greater than or equal to 0.
  • Probability_s    Required. The probability of success in each trial. Must be greater than or equal to 0 and less than or equal to 1.
  • Number_s    Required. The number of successes in trials. Must be greater than or equal to 0 and less than or equal to Trials.
  • Number_s2    Optional. If provided, returns the probability that the number of successful trials will fall between Number_s and number_s2. Must be greater than or equal to Number_s and less than or equal to Trials.
Remarks

  • If any arguments are outside of their constraints, BINOM.DIST.RANGE returns the #NUM! error value.
  • If any arguments are non-numeric values, BINOM.DIST.RANGE returns the #VALUE! error value.
  • The following equation is used:
    BINOM.DIST.RANGE equation
  • In the equation above, N is Trials, p is Probability_s, s is Number_s, s2 is Number_s2, and k is the iteration variable.
  • Numeric arguments are truncated to integers.

Example

The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works. 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.

Formula Description Result
0.083974967 Returns the binomial distribution based on the probability of 48 successes in 60 trials and a 75% probability of success (0.084, or 8.4%). 0.084
0.523629793 Returns the binomial distribution based on the probability of between 45 and 50 successes (inclusive) in 60 trials and a 75% probability of success (0.524, or 52.4%). 0.524

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