
In this article
WEIBULL.DIST models time to failure: the chance a machine part fails within x hours.
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Syntax
=WEIBULL.DIST(x, alpha, beta, cumulative)
| Argument | What it means |
|---|---|
x |
Time |
alpha |
Shape (>1 = wear-out) |
beta |
Scale (characteristic life) |
cumulative |
TRUE = failed by x |
Examples
Example 1
=ROUND(WEIBULL.DIST(A2,B2,C2,TRUE),4)
Result: 0.0856. See the worked example table below for more cases.
WEIBULL.DIST in practice
Where you will use it
- Reliability of machine parts
- Warranty claims planning
- Maintenance schedules
Worked example
| Hours | Shape | Scale | Formula | Result |
|---|---|---|---|---|
| 1000 | 1.5 | 5000 | =ROUND(WEIBULL.DIST(A2,B2,C2,TRUE),4) | 0.0856 |
| 5000 | 1.5 | 5000 | =ROUND(WEIBULL.DIST(A3,B3,C3,TRUE),4) | 0.6321 |
| 8000 | 3 | 6000 | =ROUND(WEIBULL.DIST(A4,B4,C4,TRUE),4) | 0.9066 |
Results calculated in Excel.
Mistakes people make
| Mistake | What to do instead |
|---|---|
| Shape below 1 | Means early failures (infant mortality) |
| Negative time | #NUM! |
Related functions
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