WEIBULL.DIST function: Description, Usage, Syntax, Examples and Explanation
What is WEIBULL.DIST function in Excel?
WEIBULL.DIST function is one of Statistical functions in Microsoft Excel that returns the Weibull distribution.
Use this distribution in reliability analysis, such as calculating a device’s mean time to failure.
Syntax of WEIBULL.DIST function
WEIBULL.DIST(x,alpha,beta,cumulative)
The WEIBULL.DIST function syntax has the following arguments:
- X Required. The value at which to evaluate the function.
- Alpha Required. A parameter to the distribution.
- Beta Required. A parameter to the distribution.
- Cumulative Required. Determines the form of the function.
Explanation of WEIBULL.DIST function
- If x, alpha, or beta is nonnumeric, WEIBULL.DIST returns the #VALUE! error value.
- If x < 0, WEIBULL.DIST returns the #NUM! error value.
- If alpha ≤ 0 or if beta ≤ 0, WEIBULL.DIST returns the #NUM! error value.
- The equation for the Weibull cumulative distribution function is:
- The equation for the Weibull probability density function is:
- When alpha = 1, WEIBULL.DIST returns the exponential distribution with:
Example of WEIBULL.DIST function
Steps to follow:
1. Open a new Excel worksheet.
2. Copy data in the following table below and paste it in cell A1
Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.
You can adjust the column widths to see all the data, if need be.
Data | Description | |
105 | Value at which to evaluate the function | |
20 | Alpha parameter to the distribution | |
100 | Beta parameter to the distribution | |
Formula | Description (Result) | Result |
=WEIBULL.DIST(A2,A3,A4,TRUE) | Weibull cumulative distribution function for the terms above (0.929581) | 0.929581 |
=WEIBULL.DIST(A2,A3,A4,FALSE) | Weibull probability density function for the terms above (0.035589) | 0.035589 |