At a certain coffee? shop, all the customers buy a cup of coffeeand some also buy a doughnut. The shop owner believes that thenumber of cups he sells each day is normally distributed with amean of 330 cups and a standard deviation of 23 cups. He alsobelieves that the number of doughnuts he sells each day isindependent of the coffee sales and is normally distributed with amean of 170 doughnuts and a standard deviation of 13. Completeparts? a) through? c).
Question: The shop is open every day but Sunday. Assuming?day-to-day sales are? independent, what's the probability? he'llsell over 2000 cups of coffee in a? week? _____________ (round tothree decimals as needed.)
Question: Whats the probability that on any given day he'll sella doughnut to more than half of his coffee customers ? ___________(round to three decimal places as needed).
