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

Functional relationships for $\\\\X \sim Poisson(\lambda),\;\;\lambda \in [0,\infty), x=0,1,...;$

$$ \begin{aligned} p(x|\lambda)&=\frac{e^{-\lambda}\lambda^{x}}{x!}\\\\ F(x|\lambda)&=\sum_{i=0}^{x}\left(\frac{e^{-\lambda}\lambda^{i}}{i!}\right)\\\\ h(x)&=\frac{\lambda{e}^{-\lambda{t}}}{e^{-\lambda{t}}}=\lambda\\\\\ E[X]&=\lambda\\\\ Var[X]&=\lambda \end{aligned} $$

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