Lower Division Math Foundations
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, given that these events happen with a known constant mean rate and are independent of the time since the last event. This distribution is particularly useful for modeling rare events, such as the number of phone calls received at a call center in an hour or the number of decay events per unit time from a radioactive source.
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