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Mathematics, 24.03.2020 02:03 20heldmadison

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 maximum when i is the largest integer not exceeding λ. Hint: Consider P{X = i}/P{X = i − 1}.

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Let X be a Poisson random variable with parameter λ. Show that P{X = i} increases monotonically and...
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