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Let X be a Poisson random variable with parameter ?. What

Chapter 4, Problem 18TE

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QUESTION:

Problem 18TE

Let X be a Poisson random variable with parameter λ. What value of λ maximizes P{X − k}, k ≥ 0?

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QUESTION:

Problem 18TE

Let X be a Poisson random variable with parameter λ. What value of λ maximizes P{X − k}, k ≥ 0?

ANSWER:

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(a)

Let  be a Poisson random variable with a parameter  

We are asked to find the value of  maximizes

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