Final answer:
The Poisson Probability Function is a probability distribution that gives the probability of a certain number of events occurring in a fixed interval of time or space. It is often used when events occur at a known average rate and are independent of each other.
Step-by-step explanation:
The Poisson Probability Function is a probability distribution that gives the probability of a certain number of events occurring in a fixed interval of time or space. It is often used when events occur at a known average rate and are independent of each other.
The function is denoted as P(X=k) = (e^-μ) * (μ^k) / k!, where X is the random variable representing the number of events, k is the number of events we want to find the probability for, and μ is the average number of events in the interval of interest.
For example, if the average number of customers entering a store per hour is 4, and we want to find the probability of exactly 2 customers entering in a given hour, we can use the Poisson Probability Function.