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.
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Formula (extracted text)
\( P(X = k) = \frac{e^{-λ} λ^k}{k!} \)
Variables and units
- No variables provided in audit spec.
Sources (authoritative):
- StatTrek — stattrek.com · Accessed 2026-01-19
https://stattrek.com/online-calculator/poisson
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.