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Poisson

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\[P(X=x)=f(x) = \frac{e^{-\lambda}\lambda^{x}}{x!} \]


  • $X$ is Poisson Distributed
  • $x$ equals the number of success in the interval
  • $x = 0,1,2,\ldots$
  • $0<\lambda$
  • $\mu = E(X) = \lambda$
  • $\sigma^2 = V(X)= \lambda$
\defs{Examples}
  • 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