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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 310cups and a standard deviation of 21cups. 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 180 doughnuts and a standard deviation of 11. Complete parts​ a) through​ c).

  1. ​The shop is open every day but Sunday. Assuming​ day-to-day sales are​ independent, what's the probability​ he'll sell over 2000 cups of coffee in a​ week?

  1. If he makes a profit of 40 cents on each coup of coffee and 30 cents on each doughnut, can he reasonably expect to make a day’s profit over $ 300< Explain

  1. What is the probability that any given day he will sell a doughnut to more than a half of his coffee customers?

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