A medium sized airport has a limited number of international flights that arrive and requireimmigration and customs processes. The airport would like to examine the customs staffingand establish a policy on the number of passengers who should have bags searched and thestaffing of the customs facility. Arriving passengers must first pass through immigration(outside the boundaries of the model). Then, they claim their bags and proceed to customs.The inter-arrival times to customs are distributed as EXPO(0.20); all time in minutes. Thecurrent plan is to have two customs agents dedicated to passengers who will not have theirbags searched, with service times distributed as EXPO(0.55). A new airport systems analyst has developed a probabilistic method to decide which customers will have their bagssearched. The decision is made when the passengers are about to enter the normal customsqueue. The decision process is as follows: a number is generated from a Poissondistribution with a mean of 7.0. This number is increased by 1 and a count is started. Whenthe count reaches the generated number, that unlucky passenger is sent to a second line tohave her/his bags searched. A new search number is generated and the process starts over.A single agent is dedicated to these passengers with service times distributed as EXPO(3).The number of passengers who arrive on these large planes is uniformly distributedbetween 240 and 350, and the simulation is to run all passengers on the plane have beencompletely processed. Develop a simulation of the proposed system, and make 20replications, observing statistics on the system time by passenger type (searched vs notsearched), number of passengers and agent utilization.