Poisson Distribution Calculator

Calculate probabilities and percentiles for the Poisson distribution.

Frequently Asked Questions (FAQs):

1. What is the Poisson distribution, and why is it important?
   • The Poisson distribution is a probability distribution that describes the number of events that occur within a fixed interval of time or space, given a known average rate. It's essential in various fields, such as modeling rare events like phone call arrivals, accidents, or natural phenomena.
2. What is the formula for calculating the Poisson distribution?
   • The formula for the Poisson distribution probability of observing exactly k events in a fixed interval, when the average rate is λ, is:
   
   • Where e is Euler's number (approximately 2.71828), λ is the average rate, k is the number of events, and k! is the factorial of k.
3. How do I interpret the Poisson distribution values?
   • The Poisson distribution values provide the probabilities of observing different numbers of events in a fixed interval. Larger values of λ result in a higher likelihood of observing more events, while smaller values lead to a lower likelihood of observing many events.