The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 top-ranking restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with the restaurants have told you that the meal cost at 5 of the restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.

a. What is the probability that none of the meals will exceed the cost covered by your company (to 4 decimals)?
b. What is the probability that one of the meals will exceed the cost covered by your company (to 4 decimals)?
c. What is the probability that two of the meals will exceed the cost covered by your company (to 4 decimals)?
d. What is the probability that all three of the meals will exceed the cost covered by your company (to 4 decimals)?