Question: 30. Let X be a Poisson random variable with parameter . Show that Image increases monotonically and then decreases monotonically as i increases, reaching its

30. Let X be a Poisson random variable with parameter λ. Show that Image increases monotonically and then decreases monotonically as i increases, reaching its maximum when i is the largest integer not exceeding λ.

Hint: ConsiderI mage.

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