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Excel BETA.DIST function

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Description

The Excel BETA.DIST function returns the beta distribution which is usually used to study the percentage variation of something across samples.

Syntax and arguments

Formula syntax

BETA.DIST(x,alpha,beta,cumulative,[A],[B])

Arguments

  • X: Required, the value between A and B.
  • Alpha: Required, A distribution parameter.
  • Beta: Required, A distribution parameter.
  • Cumulative: Required, a logical value (TRUE or FALSE) that determines the form of the function.
    If it is TRUE, the BETA.DIST function returns the cumulative distribution function;
    If it is FALSE, the BETA.DIST function returns the probability density function.
  • A: Optional, the lower bound to the interval of x
  • B: Optional, the upper bound to the interval of x.

Return Value

The BETA.DIST function returns a numeric value.

Errors

#VALUE! error value appears when any argument is nonnumeric.

#NUM! error value appears when one of below situations occurs:

  1. Argument alpha <= 0;
  2. Argument beta <= 0;
  3. Argument x < A;
  4. Argument x > B;
  5. Argument A = B.

Remarks

If the argument A and B are omitted, the BETA.DIST function uses the standard cumulative beta distribution, A = 0, B = 1, which means that the argument x must be between 0 and 1.

Version

Excel 2013 and later versions.

Usage and Examples

Example1 basic usage

To return cumulative beta probability density function and beta probability density function based on the provided parameters in table C2:C6, please use the BETA.DIST function as below:

For returning cumulative beta probability density function

=BETA.DIST(C2,C3,C4,TRUE,C5,C6)

Or you can directly type the arguments in the formula like:

=BETADIST(8,1,6,TRUE,5,10)

For returning beta probability density function

=BETA.DIST(C2,C3,C4,FALSE,C5,C6)

Or you can directly type the arguments in the formula like:p>

=BETADIST(8,1,6,FALSE,5,10)

Press Enter key.
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Other Functions:

  • Excel NORM.DIST Function
    The NORM.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for the given arithmetic mean and standard deviation.

  • Excel NORM.INV Function
    The NORM.INV calculates and returns the inverse of the normal cumulative distribution for the given arithmetic mean and standard deviation.

  • Excel NORM.S.DIST Function
    The NORM.S.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for an arithmetic mean of 0 and standard deviation of 1

  • Excel NORM.S.INV Function
    The NORM.S.INV calculates and returns the inverse of the standard normal cumulative distribution that has an arithmetic mean of 0 and standard deviation of 1 with a given probability.


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