Consider two alternative options for an airport's security checkpoint design. Design 1 setups two queues, each at a different location of the airport. At the end of each queue is a security screening device. With equal probability, passengers randomly chose one queue for the security screening. Design 2 direct all passengers to a single queue and at the end of the queue, a passenger can pick one out of two security screening device to do the screening. Assume that the time it takes a security screening device to screen a passenger is exponentially distributed and assume that the arrival process of passengers to the airport is Poisson. Which of the security checkpoint design will give passengers smaller chance to wait in queue?
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