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

Functional relationships for $\;X \sim Binomial(n,p),\;\;x=0,1,2,...,n;\;\;0\leq\;p\leq\;1$

$$ \begin{aligned} f(x|n,p)&=\dbinom{n}{x}p^{x}(1-p)^{n-x}\\\\ F(x|n,p)&=\sum_{i=0}^{x}\dbinom{n}{i}(p)^{i}(1-p)^{n-i}\\\\ E[X]&=np\\\\ Var[X]&=np(1-p) \end{aligned} $$

teachingApps documentation built on July 1, 2020, 5:58 p.m.