Mathematics, 12.03.2020 03:30 adamlane023
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 20 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 150 doughnuts and a standard deviation of 12. 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? If he makes a profit of 50 cents on each cup of coffee and 40 cents on each doughnut, can he reasonable expect to have a day?s profit of over $300? Explain. What?s the probability that on any given day he?ll sell a doughnut to more than half of his coffee customers?
Answers: 2
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