In Auburngrads/teachingApps: Apps for Teaching Statistics, R Programming, and Shiny App Development

Functional relationships for $\;\;X \sim H(N,M,K), \;x=0,1,2,...,K\\ M-(N-K)\leq\;x\leq\;M;\;N,M,K \geq\;0$

$$ \begin{aligned} f(x|N,M,K)&=\frac{\dbinom{M}{x}\dbinom{N-M}{K-x}}{\dbinom{N}{K}}\\\\ F(x|N,M,K)&=\sum_{i=0}^{x}\frac{\dbinom{M}{i}\dbinom{N-M}{K-i}}{\dbinom{N}{K}}\\\\ E[X]&=\frac{KM}{N}\\\\ Var[X]&=\frac{KM}{N}\frac{(N-M)(N-K)}{N(N-1)} \end{aligned} $$

Auburngrads/teachingApps documentation built on June 17, 2020, 4:57 a.m.