Question: no reference information is needed Problem 3 [30 Points (5, 6, 7, 6)]: Poisson Trafc At an intersection downtown, a city planner measures the following

no reference information is needed

no reference information is needed Problem 3 [30
Problem 3 [30 Points (5, 6, 7, 6)]: Poisson Trafc At an intersection downtown, a city planner measures the following number of cars arriving: Mon Tue Wed Thu Fri Sat Sun 830-930 AM 11 6 11 12 11 11 10 930AM-430PM 12 7 10 15 8 8 11 430-530PM 1 1 8 7 7 15 8 11 i Build a poisson distribution (estimate a A parameter) which approximates the number of cars which arrive at the intersection between 830930AM. ii Using the 830-930 model immediately above, compute the probability that exactly 2 cars arrive in that hour. iii Build a poisson distribution (estimate a A parameter) which approximated the number of cars which arrive at the intersection in any one hour between 830 and 530. 1Be as creative as needed iv Using the 830-530 model immediately above, compute the probability that more than 1 car arrives in a particular hour. v Of the two models above, which is less trustworthy? Justify your response in one to three sentences with specic reference; to the table of observations above

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