👉 Accidents math, also known as accident functions, are a class of functions used in probability theory to model the number of accidents or failures in a given time period or space, especially in contexts where events occur independently and at a constant average rate. These functions are characterized by their ability to describe the probability distribution of the number of events (accidents) in a fixed interval, given a constant rate of occurrence. The most common accident function is the Poisson distribution, which assumes that events happen independently and at a constant average rate. The probability mass function of a Poisson distribution is given by \( P(X = k) = \frac{\lambda^k e^{-\lambda}}{k!} \), where \( \lambda \) is the average number of events (accidents) per interval, and \( k \) is the number of accidents observed. Accidents math are crucial in fields like reliability engineering, insurance, and epidemiology for predicting and analyzing the frequency of events.
