wang1289 wang1289

16-01-2023
Mathematics

contestada

Let X be a Poisson random variable with parameter λ. Show that P{X = i} increases
monotonically and then decreases monotonically as i increases, reaching its maxi-
mum when i is the largest integer not exceeding λ.
Hint: Consider P{X = i}/P{X = i- 1}.

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