Poisson Distribution Calculator
Introduction & Importance
Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event.
How to Use This Calculator
- Enter the average rate of events (Lambda) and the time interval (t).
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The Poisson distribution is defined by the formula:
P(k; λ) = (e-λ * λk) / k!
Real-World Examples
Data & Statistics
Expert Tips
- Poisson distribution is often used in queuing theory to model the number of customers arriving at a service facility.
- It’s also used in reliability engineering to model the number of failures over time.
Interactive FAQ
What is Lambda (λ)?
Lambda (λ) is the average rate of events occurring in a fixed interval of time or space.