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(a) In a given city, 6 % of all drivers get at least one parking ticket...

(a) In a given city, 6 % of all drivers get at least one parking ticket per year. A total of 80 drivers are randomly chosen in the city.

(i) State the binomial model. What is the probability that four will get at least one parking ticket in any given year? By applying Poisson approximation to the binomial distribution, analyze the same problem and comment on the results

(ii) By using the Poisson approximation, what is the probability that at least three will get at least one parking ticket in any given year?

(iii) By using the Poisson approximation, determine the probability that anywhere from two to four, inclusive, will get at least one parking ticket in any given year.

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