Question: Question 9 2 pts Problem 3: At a small airport in northern Maine there is a security checkpoint with two trained TSA screeners. The airport

Question 9 2 pts Problem 3: At a small airport in
Question 9 2 pts Problem 3: At a small airport in northern Maine there is a security checkpoint with two trained TSA screeners. The airport CEO is concerned about long lines at the screening station and is deciding whether or not to hire a third screener. After performing a time study it was determined that passengers arrived to the security screening station at an average rate of 58 per hour between 7AM and 10PM. Screening took an average of 2 minutes per passenger. Both screening and interarrivals were determined to be exponentially distributed. In addition, it was found that currently only 1.7% of passengers arrived to find no other passengers before them at security but it was estimated that if the screening station had three screeners this would increase to 12.2% of passengers. Because passengers spent so much time in screening, the CFO of the airport found that the airport was losing out on purchases typically made once inside the terminal, and estimated the losses to be $20 per hour of customer waiting time. How long do passengers wait to be screened on average? (Hint: Waiting time in queue) (two screeners, three screeners) O 128,0.77) mins O 122, 13 mins 131.0.45) mins [35, 2.34] mins

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