Applies ToSharePoint Server-Abonnementedition SharePoint Server 2019 Microsoft Office SharePoint Online Server 2016 SharePoint Server 2013 Microsoft Office SharePoint Online Server 2013 Enterprise SharePoint in Microsoft 365 Microsoft Office SharePoint Online Foundation 2010 Microsoft Office SharePoint Online Server 2010 SharePoint in Microsoft 365 Small Business Windows SharePoint Services 3.0

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

Syntax

WEIBULL(x,alpha,beta,cumulative)

X     is the value at which to evaluate the function.

Alpha     is a parameter to the distribution.

Beta     is a parameter to the distribution.

Cumulative     determines the form of the function.

Remarks

  • If x, alpha, or beta is nonnumeric, WEIBULL returns the #VALUE! error value.

  • If x < 0, WEIBULL returns the #NUM! error value.

  • If alpha ≤ 0 or if beta ≤ 0, WEIBULL 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 returns the exponential distribution with:

    Equation

Examples

X

Alpha

Beta

Formula

Description (Result)

105

20

100

=WEIBULL([X],[Alpha],[Beta],TRUE)

Weibull cumulative distribution function for the specified arguments (0.929581)

105

20

100

=WEIBULL([X],[Alpha],[Beta],FALSE)

Weibull probability density function for the specified arguments (0.035589)

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