WEIBULL Function

Excel Functions › Compatibility

All versions (legacy) Compatibility

The Excel WEIBULL function returns the Weibull distribution, widely used in reliability and failure–time analysis. It is a legacy name — Microsoft now recommends WEIBULL.DIST, which is identical.


Quick answer:
=WEIBULL(105,20,100,TRUE) cumulative probability ≈ 0.9296

Syntax

=WEIBULL(x, alpha, beta, cumulative)
ArgumentDescription
xRequiredThe value at which to evaluate the distribution (≥ 0).
alphaRequiredThe shape parameter (> 0).
betaRequiredThe scale parameter (> 0).
cumulativeRequiredTRUE returns the cumulative distribution; FALSE returns the probability density.

How to use it

WEIBULL models time–to–failure and life–data. The alpha shape parameter controls how the failure rate changes over time; beta sets the scale.

=WEIBULL(105,20,100,TRUE) // cumulative ≈ 0.9296
=WEIBULL(105,20,100,FALSE) // density at x=105

Set cumulative to TRUE for the probability that a value falls at or below x, or FALSE for the density at exactly x.

Use the modern name: =WEIBULL.DIST(x, alpha, beta, cumulative) takes the same arguments and returns the same value. WEIBULL is kept only for backward compatibility.

Try it: interactive demo

Live demo

Pick a WEIBULL example to see the formula and its result.

Result:

Practice workbook

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Frequently asked questions

Is WEIBULL the same as WEIBULL.DIST?
Yes — WEIBULL.DIST (Excel 2010+) takes the same x, alpha, beta, and cumulative arguments and returns identical results. WEIBULL is kept for backward compatibility.
What do alpha and beta control?
alpha is the shape parameter (how the failure rate changes over time) and beta is the scale parameter. Both must be greater than zero.
What does the cumulative argument do?
TRUE returns the cumulative probability (value ≤ x); FALSE returns the probability density at exactly x.
Should I switch to WEIBULL.DIST?
For new work, yes — it is the supported name and matches the modern .DIST family. Existing WEIBULL formulas keep working.

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Related functions: WEIBULL.DIST · EXPON.DIST · GAMMA.DIST · POISSON · NORM.DIST