# WEIBULL

Formulas / WEIBULL
Calculate the Weibull distribution.
`WEIBULL(x,alpha,beta,cumulative)`
• x - the value to evaluate the function on
• alpha - a parameter to the distribution
• beta - a parameter to the distribution
• cumulative - a parameter to the distribution

## Examples

• `=WEIBULL(A2,A3,A4,TRUE)`

To find the Weibull cumulative distribution function for the terms in cells A2, A3 and A4, use the preceding formula. This will return the probability that a random variable is less than or equal to the value in cell A2.

• `=WEIBULL(A2,A3,A4,FALSE)`

To find the Weibull probability density function for the terms in cells A2, A3 and A4, use the formula above. This will return the probability that a random variable is equal to the value in cell A2.

• `=WEIBULL(A2,A3,A4,TRUE)`

For example, if you have a value of 5 in cell A2, a value of 2 in cell A3, and a value of 4 in cell A4, you could use the formula above to find the Weibull cumulative distribution function for these values. This will return the probability that a random variable is less than or equal to 5.

• `=WEIBULL(A2,A3,A4,FALSE)`

Similarly, if you have the same values of 5 in cell A2, 2 in cell A3 and 4 in cell A4, you could use the formula above to find the Weibull probability density function for these values. This will return the probability that a random variable is equal to 5.

## Summary

The WEIBULL function is used to calculate the Weibull distribution which is commonly used in reliability analysis to estimate a device's mean time to failure.

• The WEIBULL function returns the Weibull distribution, which is used in reliability analysis to calculate a device's mean time to failure.
• The WEIBULL.DIST function may provide improved accuracy when calculating a device's mean time to failure.