\[P(X=x)=f(x) = \frac{e^{-\lambda}\lambda^{x}}{x!} \]
- $X$ is Poisson Distributed
- $x$ equals the number of success in the interval
- $x = 0,1,2,\ldots$
- $0<\lambda$
- $\mu = E(X) = \lambda$
- $\sigma^2 = V(X)= \lambda$
- The number of car accidents at NIDA in a month
- The number of paint imperfections on a Toyota car produced
- The number of phone calls in a day