Question: According to data from US customs, on January first, 2016 between 12 pm to 6 pm, there were 326 travelers arriving at Waterloo airport in

According to data from US customs, on January first, 2016 between 12 pm to 6 pm, there were 326 travelers arriving at Waterloo airport in Iowa. Among them, 10 persons were classified as having immigrant intent. Thus, we can estimate on average there are 24 travelers with immigrant intent per day at this airport. Assume this trend continued in the year 2017 and every traveler was independent of each other in a probabilistic sense. Just observe travelers entering the same airport.

(a) On 2017 February 1 afternoon between 12pm to 2pm. What is the probability that no one has immigrant intent among 40 travelers?

(b) What is the probability that there are less than 10 travelers with immigrant intent between 2017 February 2 and 3?

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