# BETA.INV

The BETA.INV function is used to calculate the inverse of the cumulative beta distribution for a specified probability.

## Syntax

=BETA.INV(`Probability`

, `Alpha`

, `Beta`

, `[A]`

, `[B]`

)

`Probability` | The probability for which you want to find the inverse of the cumulative beta distribution. |

`Alpha` | A parameter of the distribution. |

`Beta` | Another parameter of the distribution. |

`A` (Optional) | The lower bound of the beta distribution. Defaults to 0 if omitted. |

`B` (Optional) | The upper bound of the beta distribution. Defaults to 1 if omitted. |

## About BETA.INV

When you need to ascertain the inverse of the cumulative beta distribution for a given probability in Excel, look no further than the BETA.INV function. This functionality proves beneficial in statistical analysis and modeling, providing a proficient means to determine the input value that would yield the given probability under a specified beta distribution. This capability is especially useful in risk assessment, finance, and quality control applications where understanding the distribution of outcomes is crucial for decision making. Utilize the BETA.INV function to gain insights into the range of potential outcomes and make informed decisions based on statistical probabilities and thresholds. By inputting the probability, alpha and beta parameters, along with optional lower and upper bounds, you can extract the desired input value from the cumulative beta distribution, enhancing your analytical capabilities and aiding in the identification of critical data points.

## Examples

Suppose you want to find the input value from the beta distribution that corresponds to a probability of 0.75, with alpha = 2 and beta = 3. You can use the BETA.INV formula as follows: =BETA.INV(0.75, 2, 3)

If you need to calculate the input value for a probability of 0.9 in a beta distribution with alpha = 1.5 and beta = 2, and the lower bound is 0.2 while the upper bound is 0.8, the BETA.INV formula would be: =BETA.INV(0.9, 1.5, 2, 0.2, 0.8)

## Questions

**How does the BETA.INV function work?**

The BETA.INV function calculates the inverse of the cumulative beta distribution for a specified probability, using the alpha and beta parameters of the distribution. This provides a means to identify the input value that corresponds to the desired probability under a given beta distribution.

**What are the uses of the BETA.INV function?**

The BETA.INV function is frequently employed in statistical analysis, risk assessment, finance, and quality control applications. It helps in identifying critical data points and understanding the range of potential outcomes based on the specified beta distribution and input probability.

**Can I omit the lower and upper bounds in the BETA.INV function?**

Yes, the lower and upper bounds are optional parameters in the BETA.INV function. If omitted, the function defaults the lower bound to 0 and the upper bound to 1, providing flexibility in its usage.

## Related functions

BETA.DIST

NORM.INV

NORM.DIST

GAMMA.INV

GAMMA.DIST