Poisson Distribution Calculator
Poisson distribution calculator is used to find the probability and cumulative probabilities for Poisson random variable given the mean number of successes ($\lambda$).
| Poisson Distribution Calculator | |
|---|---|
| Average rate of success ($\lambda$): | |
| Number of success (x): | |
| Result | |
| Probability : P(X = x) | |
| Cumulative Probability : P(X ≤ x) | |
| Cumulative Probability : P(X < x) | |
| Cumulative Probability : P(X ≥ x) | |
| Cumulative Probability : P(X > x) | |
Poisson Distribution
A discrete random variable $X$ is said to have Poisson distribution with parameter $\lambda$ if its probability mass function is
$$ \begin{aligned} P(X=x)& =\frac{e^{-\lambda}\lambda^x}{x!},\ & \hbox{$x=0,1,2,\cdots$;$\lambda>0.$} \ \end{aligned} $$
where
- $\lambda=$ mean number of successes.
