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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.
|
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