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What is the variance of a Poisson distribution with parameter λ?

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What is the variance of a Poisson distribution with parameter λ?

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Solution

The variance of a Poisson distribution with parameter λ is λ. This is because in a Poisson distribution, both the mean (average) and the variance are equal to λ. 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 if these events occur with a known constant mean rate and independently of the time since the last event.

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