## Poisson Distribution Calculator

Calculate probabilities and percentiles for the Poisson distribution.

**Frequently Asked Questions (FAQs):**

**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.

**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**.

- The formula for the Poisson distribution probability of observing exactly
**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.

- The Poisson distribution values provide the probabilities of observing different numbers of events in a fixed interval. Larger values of