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At a certain coffee​ shop, all the customers buy a cup of coffee and some also...

At a certain coffee​ shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the number of cups he sells each day is normally distributed with a mean of 320 cups and a standard deviation of 21 cups. He also believes that the number of doughnuts he sells each day is independent of the coffee sales and is normally distributed with a mean of 170 doughnuts and a standard deviation of 11. (Complete part c). ​

​c) What's the probability that on any given day​ he'll sell a doughnut to more than half of his coffee​ customers?

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