Poisson Random Variable

A Poisson random variable measures the number of times a specific event occurs within a fixed interval or space, assuming these events happen independently and at a constant average rate. For example, it can be used to model the number of emails received in an hour or the number of cars passing through a toll booth in a minute. The key idea is that the number of occurrences varies randomly but follows a predictable pattern based on the average rate, allowing us to estimate probabilities for different counts of events happening within that interval.