# Chi-square distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the chi-square distribution.

 cumulative mode lower P upper Q cumulative distribution 0≦P,Q≦1 degree of freedom ν ν＞0
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Chi-Squared\ distribution\ X^2(x,\nu)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu)={\large\frac{x^{\frac{\nu}{2}-1}e^{-\frac{\small x}{2}}}{2^{\frac{\nu}{2}}\Gamma(\frac{\nu}{2})}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,\nu)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu)dt\\$

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