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 340 cups and a standard deviation of 23 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 120 doughnuts and a standard deviation of 15. complete parts a) through c). 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?