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BINOM.DIST function: Description, Usage, Syntax, Examples and Explanation

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What is BINOM.DIST function in Excel?

BINOM.DIST function is one of Statistical functions in Microsoft Excel that returns the individual term binomial distribution probability. Use BINOM.DIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOM.DIST can calculate the probability that two of the next three babies born are male.

Syntax of BINOM.DIST function

BINOM.DIST(number_s,trials,probability_s,cumulative)

The BINOM.DIST function syntax has the following arguments:

  • Number_s     Required. The number of successes in trials.
  • Trials     Required. The number of independent trials.
  • Probability_s     Required. The probability of success on each trial.
  • Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, then BINOM.DIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are number_s successes.

BINOM.DIST formula explanation

  • Number_s and trials are truncated to integers.
  • If number_s, trials, or probability_s is nonnumeric, BINOM.DIST returns the #VALUE! error value.
  • If number_s < 0 or number_s > trials, BINOM.DIST returns the #NUM! error value.
  • If probability_s < 0 or probability_s > 1, BINOM.DIST returns the #NUM! error value.
  • The binomial probability mass function is:Equationwhere:

    Equation

    is COMBIN(n,x).

    The cumulative binomial distribution is:

    Equation

Example of BINOM.DIST function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Data Description
6 Number of successes in trials
10 Number of independent trials
0.5 Probability of success on each trial
Formula Description Result
=BINOM.DIST(A2,A3,A4,FALSE) Probability of exactly 6 of 10 trials being successful. 0.2050781

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