Question: Given that x is a random variable for which a Poisson probability distribution provides a good approximation, use statistical software to find the following: a.

Given that x is a random variable for which a Poisson probability provides a good approximation, use statistical software to find 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?

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