For a Poission distribution with large \(n\), use \(Z=\frac{\bar{X}-\lambda}{\sqrt{\lambda/n}}\) (i.e. \(\lambda\) instead of \(S\)). It...
Exponential distribution Probability Density Function Let \(\lambda>0\) \begin{equation*} f(x;\lambda)=\lambda e^{-\lambda x}...
\(X\) is of a Poisson distribution if its pmf is \(p(x;\lambda)=\frac{e^{-\lambda}\lambda^{x}}{x!}\) where \(x\) is 0, 1, 2, etc....
The experiment requires: The trials be independent The outcome is binary (success or failure). The probability of success or failure is...