Chi-Squared Distribution Probabilities
degrees of freedom
$$\Large \nu$$
$$\chi_\nu^2$$
$$f(z) = \frac{1}{\Gamma \left( \frac{\nu}{2} \right) \ 2^{\frac{\nu}{2}}} \ z^{\frac{\nu}{2} - 1} \ \exp \left( -\frac{z}{2} \right)$$
Area
a
b
area
$$\int_a^b f(x) \ dx$$
0.05
Score from Tail Area
tail area
$$A$$
bound
$$x0 : \ \int_{x0}^\infty f(x) \ dx = A$$
0.05