(Solution) - Suppose that x has a Poisson distribution with -(2025 Original AI-Free Solution)

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Suppose that x has a Poisson distribution with ? = 2.
a. Use the formulas given in this section to compute the mean, ?x, variance, ?2x, and standard deviation, ?x.
b. Calculate the intervals [?x ± 2?x] and [?x ± 3?x]. Then use the probabilities you calculated in Exercise 5.32 to find the probability that x will be inside each of these intervals.