Statistics

Weibull Distribution Calculator

Find failure and survival probabilities for a two-parameter Weibull model.

Data stays on this deviceConvention explained below
Probability workspace
Probability workspace

Probabilities range from 0 to 1. Check whether the method gives cumulative or exact-count probability.

See the method

Set model parameters

Runs on your device

Your probability

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter shape, scale, time or value.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

CDF=1−exp[−(x/scale)^shape]; survival=exp[−(x/scale)^shape].

A WORKED EXAMPLE

Using shape = 2, scale = 1, time or value = 1, the result is 0.632120559. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

No location shift. This evaluates user-supplied parameters and does not infer failure behavior or validate a reliability model.

What to keep in mind

No location shift. This evaluates user-supplied parameters and does not infer failure behavior or validate a reliability model. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

How do I use this weibull distribution calculator?

Find failure and survival probabilities for a two-parameter Weibull model. Enter shape, scale, time or value. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

No location shift. This evaluates user-supplied parameters and does not infer failure behavior or validate a reliability model.

Methodology maintained by ClarityKit. How these tools are built and checked.