Mathematical Probability Theory
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 independently of the time since the last event. This distribution is connected to various concepts like the calculation of probability mass functions, the evaluation of expectation and variance, and it serves as one of the fundamental discrete distributions that describe real-world scenarios, like the number of phone calls received at a call center in an hour.
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