Calculator
Use this calculator to determine the probability of a given number of events happening in a fixed interval with the Poisson distribution model.
Results
Probability
0.00
Data Source and Methodology
The calculations are based on standard mathematical formulas for the Poisson distribution. For more detailed information, refer to StatTrek.
The Formula Explained
\( P(X = k) = \frac{e^{-λ} λ^k}{k!} \)
Glossary of Terms
- Mean (λ): The average number of occurrences in a given time period.
- Number of Events (k): The actual number of events of interest.
Frequently Asked Questions (FAQ)
What is the Poisson distribution?
It is a probability distribution that describes the number of events occurring in a fixed interval of time or space.
When to use the Poisson distribution?
It is used when the events occur independently, and the average rate of occurrence is constant.