WEIBULL.DIST function

Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure.

Syntax

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.

Remarks

  • 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:

    Equation

  • The equation for the Weibull probability density function is:

    Equation

  • When alpha = 1, WEIBULL.DIST returns the exponential distribution with:

    Equation

Example

The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

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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)

=WEIBULL.DIST(A2,A3,A4,TRUE)

Weibull cumulative distribution function for the terms above (0.929581)

=WEIBULL.DIST(A2,A3,A4,FALSE)

Weibull probability density function for the terms above (0.035589)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



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