# WEIBULL.DIST

The WEIBULL.DIST function in Excel calculates the Weibull distribution probability density function or the cumulative distribution function for a given value.

## Syntax ðŸ”—

=WEIBULL.DIST(`x`

, `alpha`

, `beta`

, `cumulative`

)

`x` | The value at which to evaluate the function. |

`alpha` | The shape parameter of the Weibull distribution. |

`beta` | The scale parameter of the Weibull distribution. |

`cumulative` | A logical value that determines the type of function to use. TRUE for the cumulative distribution function, and FALSE for the probability density function. |

## About WEIBULL.DIST ðŸ”—

When dealing with distributions and assessing probabilities in Excel, turn to the WEIBULL.DIST function. This function aids in computing the probability density function or cumulative distribution function of a Weibull distribution based on specified parameters. It proves valuable in various statistical analyses, reliability studies, and survival analysis where the Weibull distribution model is applicable.

## Examples ðŸ”—

Let's say you want to find the probability density function value at x = 10 for a Weibull distribution with alpha = 2 and beta = 5. To calculate this, use the formula:

=WEIBULL.DIST(10, 2, 5, FALSE)

Suppose you need to determine the cumulative distribution function value at x = 12 for a Weibull distribution with alpha = 3 and beta = 10. The formula to compute this would be:

=WEIBULL.DIST(12, 3, 10, TRUE)

## Notes ðŸ”—

Ensure that the provided values for alpha and beta are greater than zero, as the Weibull distribution requires positive parameters. Additionally, remember to adhere to the logical values of TRUE or FALSE for the cumulative argument to receive the intended type of output.

## Questions ðŸ”—

**What does the alpha parameter represent in the WEIBULL.DIST function?**

The alpha parameter in the WEIBULL.DIST function indicates the shape parameter of the Weibull distribution. It determines the shape of the distribution curve.

**How is the choice between the probability density function and cumulative distribution function made in the WEIBULL.DIST function?**

The decision between using the probability density function and cumulative distribution function is based on the logical value of the `cumulative`

argument. TRUE selects the cumulative distribution function, while FALSE chooses the probability density function.

**Can the WEIBULL.DIST function handle negative values for the parameters?**

No, the Weibull distribution requires positive parameters for alpha and beta. Negative values are not suitable inputs for this function.

**In what type of statistical analyses is the WEIBULL.DIST function commonly used?**

The WEIBULL.DIST function is frequently utilized in reliability studies, survival analysis, and various statistical analyses where the Weibull distribution serves as an appropriate model for the data.