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 2x and x 3x Then use the probabilities you calculated in Exercise 5 32 to find the probability that x will be inside each of these intervals

Question: Suppose that x has a Poisson distribution with = 2. a. Use the formulas given in this section to compute the mean, x, variance,

Suppose that x has a Poisson with μ = 2.
a. Use the formulas given in this section to compute the mean, μx, variance, σ2x, and standard deviation, σx.
b. Calculate the intervals [μx ± 2σx] and [μx ± 3σx]. Then use the probabilities you calculated in Exercise 5.32 to find the probability that x will be inside each of these intervals.

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