## Excel BETA.INV function

### Description

The Excel BETA.INV function returns the inverse of the cumulative beta probability density function for a specified beta distribution. This means that if probability = BETA.DIST(x,alpha,…), the BETA.INV(probability,alpha,…) returns x.

### Syntax and arguments

Formula syntax

BETA.INV(probability,alpha,beta,[A],[B])

Arguments

 Probability: Required, the probability of the beta distribution. Alpha: Required, A distribution parameter. Beta: Required, A distribution parameter. A: Optional, the lower bound to the interval of x B: Optional, the upper bound to the interval of x.

### Return Value

The BETA.INV 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 BETAINV function uses the standard cumulative beta distribution, A = 0, B = 1.

### Version

Excel 2013 and later versions.

### Usage and Examples

Example1 basic usage

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

=BETA.INV(C2,C3,C4,C5,C6)

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

=BETA.INV(0.6,1,6,5,10)

Press Enter key.

#### Other Functions:

• Excel BETA.DIST Function
The Excel BETA.DIST function (Excel 2013) returns the beta distribution which is usually used to study the percentage variation of something across samples.

The Excel BETADIST function (Excel 2010) returns the beta distribution which is usually used to study the percentage variation of something across samples.

• 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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