# Weibull distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the Weibull distribution.

 cumulative mode lower P upper Q cumulative distribution shape parameter a a＞0 scale parameter b b＞0
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 $\normal Weibull\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{a}{b}(\frac{x}{b})^{a-1}e^{-(\frac{x}{b})^a}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25pt}\small x}}f(t,a,b)dt={\large 1-e^{-(\frac{x}{b})^a}}\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large \int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt={\large e^{-(\frac{x}{b})^a}}\\$

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