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

Question

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 350 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 170 doughnuts and a standard deviation of 12. The shop is open everyday but Sunday. Assuming day-to-day sales are independent, what is the probability he'll sell over 2000 cups of coffee in a week? What is the probability that on any given day he'll sell a doughnut to more than half of his coffee customers?

Explanation / Answer

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

P( z > 350 - 170 / 23+12 )

P( z >5.14) = 0.000001

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.