# Student's t-distribution Calculator

## Calculates the probability density function and lower and upper cumulative distribution functions of the student's t-distribution.

 percentile x degree of freedom ν ν＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Student's\ t-distribution\ t(x,\nu)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu)={\large\frac{(1+\frac{x^2}{\nu})^{-\frac{\nu+1}{2}}}{\sqrt{\nu}B(\frac{1}{2},\frac{\nu}{2})}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t,\nu)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu)dt\\$
Student's t-distribution
 [1-2] /2 Disp-Num5103050100200
[1]  2017/10/15 05:47   Female / 40 years old level / High-school/ University/ Grad student / Very /
Purpose of use
check I obtained the value in R software correctly
[2]  2016/04/20 22:46   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
Compare Minitab and Excel results in the tails. DF are non-integers.

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