The Zagat Restaurant Survey provides food, decor, and serviceratings for some of the top restaurants across the United States.For 21 restaurants located in a certain city, the average price ofa dinner, including one drink and tip, was $48.60. You are leavingon a business trip to this city and will eat dinner at three ofthese restaurants. Your company will reimburse you for a maximum of$50 per dinner. Business associates familiar with these restaurantshave told you that the meal cost at one-third of these restaurantswill exceed $50. Suppose that you randomly select three of theserestaurants for dinner. (Round your answers to four decimalplaces.)
(a)
What is the probability that none of the meals will exceed thecost covered by your company?
(b)
What is the probability that one of the meals will exceed thecost covered by your company?
(c)
What is the probability that two of the meals will exceed thecost covered by your company?
(d)
What is the probability that all three of the meals will exceedthe cost covered by your company?
