How to Use the BINOMDIST Function in Excel

Below is a detailed guide on how to use the BINOMDIST function in Microsoft Excel and Google Sheets.

Overview

The BINOMDIST function is used to determine the probability of achieving a specific number of successes in a set number of trials within a binomial distribution. This function is highly useful for quantifying the likelihood of a given number of successes in a series of independent events, each with an identical chance of success.

Syntax

The syntax for the BINOMDIST function is:

BINOMDIST(number_s, trials, probability_s, cumulative)
  • number_s: The number of successes of interest.
  • trials: The total number of independent trials.
  • probability_s: The probability of success on an individual trial.
  • cumulative: A Boolean value that specifies the type of distribution to return. If TRUE, it returns the cumulative distribution function; if FALSE, it returns the probability mass function.

Example

Consider the scenario where you wish to determine the probability of tossing exactly 3 heads in 5 coin flips, with each flip having a 0.5 chance of coming up heads. This is where the BINOMDIST function comes into play.

The following values would be used:

number_s trials probability_s cumulative
3 5 0.5 FALSE

Now, calculate the probability of flipping exactly 3 heads in 5 tries:

=BINOMDIST(3, 5, 0.5, FALSE)

This will yield the probability of obtaining exactly 3 heads in these circumstances.

In Microsoft Excel, simply enter this formula into a cell to see the result. The procedure in Google Sheets is similar, and the function operates identically in both platforms.

Utilizing the BINOMDIST function allows for rapid calculation of probabilities across various scenarios in binomial distributions, making it an indispensable tool for statistical analysis and informed decision-making.

More information: https://support.microsoft.com/en-us/office/binomdist-function-506a663e-c4ca-428d-b9a8-05583d68789c

Other functions
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the exponential distribution
Returns the F probability distribution
Rounds a number down, toward zero
Returns the result of an F-test
Returns the gamma distribution
Returns the inverse of the gamma cumulative distribution
Returns the hypergeometric distribution
Returns the inverse of the lognormal cumulative distribution
Returns the cumulative lognormal distribution
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the inverse of the normal cumulative distribution
Returns the normal cumulative distribution
Returns the standard normal cumulative distribution
Returns the inverse of the standard normal cumulative distribution
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the Poisson distribution
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Estimates standard deviation based on a sample
Calculates standard deviation based on the entire population
Returns the Student's t-distribution
Returns the inverse of the Student's t-distribution
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the one-tailed probability-value of a z-test