Fill prescriptions is exponentially distributed

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Walgreen’s has one pharmacist whose time to fill prescriptions is exponentially distributed with mean of 2.5 minutes 20 customers per hour arrive to the pharmacy (assume exponential interarrival times)

Suppose the pharmacy wants to give out a time for when customers can expect their orders to be ready. How many minutes should the pharmacy promise assuming they wish to satisfy 95% of their customers within this time window (round up your answer to the nearest minute)?

Reference no: EM131767364

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