## Excel WEIBULL.DIST Function ### Description

The Excel WEIBULL.DIST function returns the Weibull probability density function or Weibull cumulative distribution for a supplied set of parameters. It is frequently used for reliability analysis, e.g., for testing the mean time of the failure of an equipment in a specific time range.

Formula syntax

WEIBULL.DIST(x_range,alpha,betta,cumulative)

Arguments

 x: Required, the value at which to evaluate the function. alpha: Required, a parameter of the distribution. beta: Required, a parameter of the distribution. cumulative: Required, a logical value that determines which form of the function to be used. TRUE: Weibull cumulative distribution function is used;< FALSE: Weibull probability density function is used.

### Returns

WEIBULL.DIST function returns a numeric value.

### Remarks

1. The function returns #VALUE! error value if x, alpha, or beta is a non-numeric value.

2. The function returns #NUM! error value when

• x is negative;
• alpha or beta ≤ 0
• X_range and prob_range have different numbers of data points, WEIBULL.DIST function return the #N/A error value.

3. The equation for Weibull cumulative distribution function is 4. The equation for Weibull probability density function is 5. When alpha = 1, WEIBULL.DIST function returns the exponential distribution with ### Version

Excel 2010 and later versions

### Usage and Examples

Basic usage

For getting the Weibull cumulative distribution function (cumulative as TURE) and Weibull probability density function (cumulative as FALSE) separately for the supplied x (10), alpha (15),beta (20), you can use the WEIBULL.DIST function as these:

=WEIBULL.DIST(10,15,20,TRUE) // Weibull cumulative distribution function

=WEIBULL.DIST(10,15,20,FALSE) // Weibull probability density function

Press Enter key to get the result. #### Other Functions:

• Excel POISSON Function
The Excel POISSON function returns the Poisson distribution which is used to predict the number of events occurring over a specific time.

• Excel WEIBULL Function
The Excel WEIBULL function returns the Weibull probability density function or Weibull cumulative distribution for a supplied set of parameters.

• Excel EXPON.DIST Function
EXPON.DIST function used in Excel 2010, returns the exponential distribution based on the given x value and the parameter of the distribution.

• Excel F.DIST Function
The Excel F.DIST function returns the F probability distribution which is usually used to measure the degree of diversity between two data sets.

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