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A gas station has 4 fuel pumps. Cars arrive every 1 minute and 3 seconds, with the inter-arrival times following the exponential distribution. Cars needs

A gas station has 4 fuel pumps. Cars arrive every 1 minute and 3 seconds, with the inter-arrival times following the exponential distribution. Cars needs 4 minutes to get gas and make payment, with a standard deviation of 3 minutes. How many more pumps are needed to reduce the average waiting time to 1 minute or below?

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