# Beta distribution (percentile) Calculator

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

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

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