# Binomial Distribution : Probabilities in Poisson Distribution

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Show that, as in the binomial distribution, the successive probabilities in a Poisson distribution increase to a maximum, then decrease towards zero. Under what circumstance is there a unique maximum probability?

Three partial solutions are attached.

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1 Since for Poisson distribution, , and

, this tells us that .

If , , therefore the successive probabilities in a Poisson distribution increases, and as k increases to ...

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Probabilities in the Poisson distribution are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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