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The number of customers who enter a supermarket each hour

The number of customers who enter a supermarket each hour is normally distributed with a mean of 600 and a standard deviation of 200. The supermarket is open 16 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10,000? (Calculate the average hourly number of customers necessary to exceed 10,000 in one 16-hour day.)

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