The times between the arrivals of customers at a taxi stand are independent and have a distribution

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The times between the arrivals of customers at a taxi stand are independent and have a distribution F with mean F . Assume an unlimited supply of cabs, such as might occur at an airport. Suppose that each customer pays a random fare with distribution G and mean G. Let W.t/ be the total fares paid up to time t. Find limt!1 E W.t/=t .

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