# F-distribution Calculator

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

 percentile x x≧0 degree of freedom ν1 ν1＞0 degree of freedom ν2 ν2＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal F-distribution\ F(x,\nu_1,\nu_2)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu_1,\nu_2)={\large\frac{\nu_1^{\frac{\nu_1}{2}}\ \nu_2^{\frac{\nu_2}{2}}}{B(\frac{\nu_1}{2},\frac{\nu_2}{2})}} {\large\frac{x^{\frac{\nu_1}{2}-1}} {\ (\nu_2+\nu_1x)^{\frac{\nu_1+\nu_2}{2}}}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu_1,\nu_2)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,\nu_1,\nu_2)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu_1,\nu_2)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu_1,\nu_2)dt\\$

F-distribution
 [1-4] /4 Disp-Num5103050100200
[1]  2019/02/17 09:22   Female / Under 20 years old / A retired person / Very /
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Just looking for a good time man (not a long time)
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[2]  2013/09/26 12:12   Male / 40 years old level / High-school/ University/ Grad student / Very /
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Checking accuracy of my programing
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Impressive calculator results.
[3]  2012/11/21 23:58   Male / 20 years old level / High-school/ University/ Grad student / Very /
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to improve my knowledge
[4]  2009/07/03 00:34   Male / 20 level / A university student / Very /
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exam purpose
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