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Customers arrive at a bank at the mean rate of 20 per hour. the exponential probability distribution describe the time between customer arrivals. (a) What is the probability that a customer arrives within 3 mins of a previous customer? (b) What is the probability that the bank will go 6 mins without any customer?

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    (b) Part (b) might depend on how long it takes to serve a customer2012-09-26
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    In (b), do you mean "without any customer arriving"? If you mean "without any customer being there", Henry's comment (b) applies. Also, presumably you mean "go without any customer for 6 *particular* minutes"? The probability that the bank will at *some* point go without any customer for 6 minutes is $1$.2012-09-26

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