WEIBULL function

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:

• The equation for the Weibull probability density function is:

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

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)
Expand your Office skills
Explore training
Get new features first
Join Office Insiders

×