Use the normal approximation of the Poisson distribution

Chapter , Problem 10

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Use the normal approximation of the Poisson distribution to sketch the approximate sampling distribution of \(\hat{\lambda}\) of Example A of Section 8.4. According to this approximation, what is \(P\left(\left|\lambda_{0}-\hat{\lambda}\right|>\delta\right)\) for \(\delta\) = .5, 1, 1.5, 2, and 2.5, where \(\lambda_{0}\) denotes the true value of \(\lambda\)?

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