Question 2 (4 marks) a. Suppose that the mean retail price per litre of unleaded petrol in the greater region of Sydney is $1.96 with a standard deviation of $0.15. Assume that the retail price per litre is normally distributed. Use the empirical rule to answer the following questions: i. What percentage of unleaded petrol prices in the Sydney greater region falls between $1.66 and $2.26 per litre? [1] ii. Between what two values does the middle 99.7% of unleaded petrol prices in the Sydney greater region fall? [2] Question 2 (continued) Marks b. TripAdvisor is one of many online websites that provides ratings for hotels throughout the world. TripAdvisor uses a semi-automated telephone process to take reservations from its customers. This company conducts a survey of customers, asking them what problems they have encountered in making reservations. The chart below shows the analysis of the customer responses (BS = Busy Signal; TL = Too Long to Wait; GD = Got Disconnected; WP = Transferred to the Wrong Person). Problems Encountered Making Enquiries by Telephone 450 400 400 350 300 250 Number of Complaints 200 175 100 50 50 25 BS TL GD WP Type of Complaint What percentage of customers encountered "Busy Signal" or "Too Long to Wait" when making reservations? [1]