t-Verteilung
Author: Prof. Dr. Haftendorn
Date: Okt. 2004

f(t)=\frac{\Gamma(\frac{k+1}{2})}{\Gamma(\frac{k}{2})\sqrt {\pi k} } \left( 1+\frac{x^2}{k}\right)^{-\frac{k+1}{2}}

k = 4
T = Point(xAxis)
B = Point(xAxis)
d(x) = 10 ((k - 1) / 2)! / (sqrt(pi k) (k / 2 - 1)!) (1 + x² / k)^(-(k + 1) / 2)
bh = Integral(d, x(T), x(B))
ttest: bh / 40
e(x) = 3.98942 exp(-x² / 2)
gh = Integral(e, x(T), x(B))
gauss: gh / 10