# Weibull distribution

## Calculates the probability density function and lower and upper cumulative distribution functions of the Weibull distribution.

 percentile x x≧0 shape parameter a a＞0 scale parameter b b＞0
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Weibull\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{a}{b}(\frac{x}{b})^{a-1}e^{-(\frac{x}{b})^a}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25pt}\small x}}f(t,a,b)dt={\large 1-e^{-(\frac{x}{b})^a}}\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large \int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt={\large e^{-(\frac{x}{b})^a}}\\$

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