What is Weibull Distribution?

It is a heavy-tailed distribution widely used in reliability engineering and failure analysis.

What is the Shape parameter (k)?

k 1 indicates wear-out failures.

What is the Scale parameter (λ)?

It determines the spread of the distribution. It is the time by which 63.2% of units will fail.

Weibull Distribution Calculator

Calculate reliability and failure probabilities using Shape (k) and Scale (λ).

Scale Parameter (λ)

Shape Parameter (k)

Target Value (x)

Time to failure

Coursera Holi Offer

Build your AI fluency and get more done, faster. Get the AI skills employers are looking for and create 20+ solutions you can use at work, right away.

Start Learning

CDF F(1)

0

PDF f(1) = 0

Distribution Curve (PDF)

Formulas

PDF

CDF

Frequently Asked Questions

About the Weibull

What it calculates

This weibull solves mathematical and statistical problems using standard formulas. Reliability and failure analysis.

When to use it

Use for homework, data analysis, exam prep, or quick verification of manual calculations.

Example

Adjust the inputs above to model your specific scenario with the Weibull.

Explore More

Related Calculators

Beta Distribution

Probability on interval [0, 1].

Cauchy

Lorentz distribution (undefined mean).

Exponential

Calculate time between events.

Gamma Distribution

Two-parameter continuous distribution.

Log-Normal

Models positive skewed data.

Normal Distribution

Calculate probabilities and Z-scores for normal curves.