How to Use the BETADIST Function in Excel

Today, we’ll delve into the BETADIST function, a robust statistical tool available in both Microsoft Excel and Google Sheets. This function computes the cumulative beta probability density function, an essential calculation in fields such as risk analysis and economics, where understanding distributions based on beta statistics is crucial.

Syntax

The syntax for the BETADIST function varies slightly between Excel and Google Sheets:

Excel:

BETADIST(x, alpha, beta, A, B)
  • x: The variable at which the function is evaluated.
  • alpha and beta: Parameters of the distribution that shape its behavior.
  • A and B: Define the lower and upper bounds of the beta distribution, respectively.

Google Sheets:

BETADIST(x, alpha, beta, A, B, cumulative)
  • x: The variable at which the function is evaluated.
  • alpha and beta: Parameters that define the characteristics of the distribution.
  • A and B: The minimum and maximum limits of the distribution.
  • cumulative: A boolean value specifying the function’s output. A value of TRUE returns the cumulative distribution function; FALSE returns the probability density function.

Examples

Below, we’ll explore some practical applications of the BETADIST function in both Excel and Google Sheets:

Example 1

Calculate the cumulative beta probability density function using the following parameters:

Parameter Value
x 0.5
alpha 2
beta 2
A 0
B 1

In Excel:

=BETADIST(0.5, 2, 2, 0, 1)

This formula returns the cumulative beta probability density function at x=0.5 for the specified parameters.

In Google Sheets:

=BETADIST(0.5, 2, 2, 0, 1, TRUE)

The additional parameter TRUE specifies that the output should be the cumulative distribution function.

With a clear understanding of the syntax and practical examples, you can effectively employ the BETADIST function in Excel and Google Sheets for detailed statistical analysis and probability assessments.

More information: https://support.microsoft.com/en-us/office/betadist-function-49f1b9a9-a5da-470f-8077-5f1730b5fd47

Other functions
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
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