Poisson distribution
Calculate the probability mass and the lower and upper cumulative probabilities of the Poisson distribution.
| \(\normalsize Poisson\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,\lambda)={\large\frac{e^{-\lambda}\lambda^x}{\Gamma(x+1)}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,\lambda)={\large\displaystyle \sum_{t=0}^{x}}f(t,\lambda)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\lambda)={\large\displaystyle \sum_{t=x}^{\infty}}f(t,\lambda)\\\) |
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