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Data is collected every 20 minutes on the number of arrivals from one direction at a bridge. The data is assumed to be representative of both...
Data is collected every 20 minutes on the number of arrivals from one direction at a bridge. The data is assumed to be representative of both directions. On average 25 vehicles arrive at the bridge every 20 minutes.The bridge is scheduled to be partially closed for repairs. The traffic engineer is thinking of making the bridge one lane with a temporary traffic signal determining which direction uses the bridge at any time. The traffic engineer proposes to setup the signal with a 60 second cycle with 25 seconds of effective green time in each direction. The engineer is concerned that if more than two vehicles arrive during the red phase, the exit from the fire station adjacent to the bridge will be partially blocked. Assuming arrivals are modeled by a Poisson process, what is the probability that more than two vehicles arrive during the red phase? (Provide your answer to two decimal places)
