At a popular heritage site, St. James Vista, tourists visit a lookout area and view the city via a tower viewer. In previous years, the average number of tourists arriving at the lookout was 35 per hour, with a random arrival pattern, and inter-arrival times that had a co-efficient of variation of 1. On average, each tourist spends an average of 100 seconds at the tower viewer, with a standard deviation of 120 seconds.

i. Determine how long a tourist must wait in line before using the tower viewer.

ii. Determine the average number of tourists in the line.

iii. Determine how long a tourist spends at the lookout area. For the upcoming July-August tourist influx, the Planning Committee is considering adding a second tower viewer. No change is expected with respect to the number and pattern of tourist arrivals.

iv. Determine how long a tourist must wait in line before using the tower viewer.

v. Determine the ratio of tourists using the tower viewers to the number of tourists in the line.

At the office area in St. James Vista, the Planning Committee is considering the feasibility of setting up a computer area for tourists to check emails and social media accounts. The planned setup will be a single line leading to all of the computers, and that only one tourist will use a computer at a time. The Planning Committee forecasts that there will be 15 tourist arrivals per hour, with a standard deviation time between arrivals being 4 minutes. Further, the forecast is that each tourist will spend an average of 4 minutes, with a standard deviation of 3.

vi. If there is only 1 computer, determine how long a tourist must wait in line before using the computer.

vii. If there is only 1 computer, determine the average number of tourists in the line.

viii. If there are 2 computers, determine how long a tourist must wait in line before using the computer.

ix. If there are 2 computers, determine the average number of tourists in the line.

x. To ensure that waiting times are not too long, the Planning Committee wishes to ensure that the utilization of the computers does not exceed 90%. At least how many computers should be installed?