Poisson Distribution Calculator
Visualize and calculate Poisson probabilities to understand event occurrences.
Calculate Poisson Probability
Enter the average rate (λ) and number of successes (k) to find the Poisson probability.
λ
k
Calculation Result:
Probability P(X=k) =
$$P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}$$
Poisson Distribution Visualization
Understanding Poisson Distribution
The Poisson distribution helps predict the probability of a certain number of events happening within a fixed interval of time or space. It's useful when events occur randomly and independently at a constant average rate.
Imagine a call center receiving an average of 20 calls per hour. Using Poisson distribution, we can calculate the probability of them receiving exactly 15 calls, or even 25 calls, in an hour. This tool helps you explore these probabilities by entering the average rate (λ) and the desired number of successes (k).
- λ (Lambda): The average rate of events occurring in the interval.
- k: The number of successful events you want to calculate the probability for.