Question: At an intersection, vehicles arrive at the left turn pocket according to a random arrival process. An engineer observing the intersection for an hour

At an intersection, vehicles arrive at the left turn pocket according to

At an intersection, vehicles arrive at the left turn pocket according to a random arrival process. An engineer observing the intersection for an hour notes that in 9 of 120 intervals of 30 seconds, no vehicles arrive to the left turn pocket. If the left turn pocket is sized to fit three vehicles (approximately 65 ft), what is the probability that the left turn queue will spill out into the through lane over the course of an hour?

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