Statistical - BINOM.DIST Function



Description

The BINOM.DIST function 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

Syntax

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

Arguments

Argument Description Required/ Optional
Number_s The number of successes in trials. Required
Trials The number of independent trials. Required
Probability_s The probability of success on each trial. Required
Cumulative

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 cumulative is FALSE, then BINOM.DIST returns the probability mass function, which is the probability that there are number_s successes

Required

Notes

  • 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 −

    $$b\left ( x;n,p \right )=\left ( \frac{n}{x} \right )p^N\left ( 1-p \right )^{n-N}$$

    Where $\left ( \frac{n}{x} \right )$ is a COMBIN (n,x).

  • The cumulative binomial distribution is −

    $$B\left ( x;n,p \right )=\sum_{y-0}^{N} b\left ( y;n,p \right )$$

Applicability

Excel 2010, Excel 2013, Excel 2016

Example

BinomDist Function
advanced_excel_statistical_functions.htm
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