Passenger arrive at ABC International airport with a rate of 50 people per hour and follow a Poisson probability distribution. A metal detector portal can operate a full body scan before entering into the terminal at a rate of 1 minute per one passenger. Assume that you are a manager of this airport, please analyze and improve the operations by answer these questions

What percentage of the passenger will require more than 1 minutes to pass the full body scan process?

What is the average time a passenger must wait from the time arrived at the terminal until they get their body scanned?