Poisson Distribution (Mean)
Determine the parameter λ from the lower or upper cumulative probability value of the Poisson distribution.
| \(\normalsize Poisson\ distribution\\ (1)\ probability\ mass\\ \hspace{30px}f(x,\lambda)={\large\frac{e^{-\lambda}\lambda^x}{\Gamma(x+1)}}\\ (2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,\lambda)={\large\displaystyle \sum_{t=0}^{x}}f(t,\lambda)\\ (3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\lambda)={\large\displaystyle \sum_{t=x}^{\infty}}f(t,\lambda)\\\) |
No customer feedback for this calculation yet.