Given that x is a random variable, for which a Poisson probability distribution provides a good approximation, use Table III in Appendix A to compute the following a P(x 2) when 1 b P(x 2) when 2 c P(x 2) when 3 d What happens to the probability of the event x 2 as increases from 1 to 3 Is this intuitively reasonable

Question: Given that x is a random variable, for which a Poisson probability distribution provides a good approximation, use Table III in Appendix A to compute

Given that x is a random variable, for which a Poisson probability distribution provides a good approximation, use Table III in Appendix A to compute the following:

a. P(x ≤ 2) when λ= 1

b. P(x ≤ 2) when λ= 2

c. P(x ≤ 2) when λ = 3

d. What happens to the probability of the event {x ≤ 2} as λ increases from 1 to 3? Is this intuitively reasonable?

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