Weibull Distribution Calculator

Weibull distribution is an important probability and statistics function to analyze the life-time or reliability of components or products before failure under certain experimental condition. It's a continuous probabilty distribution function, generally used in failure or survival analysis in manufacturing, industrial engineering, electronic equipments, mechanical devices, etc. to predict the length of life or proper functionality of a product from a specified time until it fails. Scaling factor (a), shaping factor (k) and location factor (x) are the input parameters of Weibull distribution which characterize the durability or deterioration of quality of product over time. The P(x) represents the probability of failure rate, mean (μ) represents the expected durability of product and σ² represents the failure rate variation among the group of products. This probability density function showcase wide variety of forms based on the selection of shape and scaling parameters. Gamma function is the integral part of Weibull distribution to find the expected lifetime and its variance before it failures.

The below formula is mathematical representation for probability density function (pdf) of Weibull distribution may help users to know what are all the input parameters are being used in such calculations to determine the reliability of different products and services. Users may use this formula for manual calculations and use this calculator to verify the results of manual calculations or generate complete work with steps.