Question empty taxis pass by a street comer at a poisson, Ask an Expert

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Question: Empty taxis pass by a street comer at a Poisson rate of 2 per minute and pick up a passenger if one is waiting there. Passengers arrive at the street comer at a Poisson rate of 1 per minute and wait for a taxi only if there are fewer than four persons waiting; otherwise, they leave and never return. Find the average waiting time of a passenger who joins the queue.

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