Real-World Applicationshard
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A city planning department studies traffic flow at an intersection. The number of cars arriving per minute follows a Poisson distribution with mean λ=12λ = 12 cars/minute. If the traffic light is programmed to allow passage for a green light duration, during which an average of 15 cars can pass, what is the probability that at least one car is left waiting (i.e., arrivals exceed capacity)?