The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For restaurants located in Boston, the average price of a dinner, including one drink and tip, was . 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 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed . 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)

The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for 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 these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.

Answer : 0.2637

Step-by-step explanation:

Average price of dinner including one drink and a tip in Boston = $48.60

Number of restaurants = 15

number of restaurants whose meal cost more than $50 = 1/3 * 15 = 5

Probability that None of the meals will exceed the cost covered by your company

ATTACHED BELOW is the solution

P( none ) = 0.2637