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The WEIBULL function in Excel is used to calculate the Weibull probability density function or the Weibull cumulative distribution function. This function is helpful in reliability analysis and failure rate prediction. The syntax of the WEIBULL function is as follows:
WEIBULL(x, alpha, beta, cumulative)
- x: The value at which to evaluate the function. It must be a positive number.
- alpha: The shape parameter of the distribution. It must be a positive number.
- beta: The scale parameter of the distribution. It must be a positive number.
- cumulative: A logical value that determines the form of the function. If TRUE, the cumulative distribution function is used; if FALSE, the probability density function is used.
Here’s how you can use the WEIBULL function:
=WEIBULL(A1, B1, C1, TRUE)
- Open Excel and navigate to the worksheet where you want to use the WEIBULL function.
- Select the cell in which you want to display the result.
- Enter your formula using the WEIBULL syntax. For example, if you want to calculate the cumulative distribution function, you would use:
Here, `A1` is the cell containing the value of `x`, `B1` is the cell containing the value of `alpha`, `C1` is the cell containing the value of `beta`, and `TRUE` indicates you want the cumulative distribution function.
- Press Enter to see the result in the selected cell.
Here are some example scenarios:
=WEIBULL(2, 1.5, 5, FALSE)
=WEIBULL(2.5, 1.5, 5, TRUE)
- Probability Density Function (PDF): If you want to evaluate the probability density at a specific point:
- Cumulative Distribution Function (CDF): For the cumulative probability up to a specific point:
Make sure to replace the cell references and numbers in these examples with the specific values you are working with.