# Logistic distribution (percentile) Calculator

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

 cumulative mode lower Pupper Q cumulative distribution 0≦P,Q≦1 location parameter a scale parameter b b＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Logistic\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{1}{b}\frac{e^{-\frac{\small{x}-a}{b}}}{(1+e^{-\frac{\small{x}-a}{b}})^2}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t,a,b)dt\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt\\$

Logistic distribution (percentile)
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