5. Simulation. Three Hills Power Company provides electricity to a large metropolitan area using 200 hydroelectric generators. As energy demands have grown, the company is concerned about the increasing amount of generator downtime. Some generator breaks down every few hours, with the time between breakdowns given as: Probability Random number range Time between breakdowns (hours) 0.5 1.0 1.S 2.0 25 30 Total 0.05 0.06 0.16 0.33 0.21 0.19 1.00 Repair times vary from 1 to 3 hours with the following distribution Repair time required (hours) Random number range 2 3 Total Probability 0.28 0.52 0.20 1.00 (a) On the Exam 2 Worksheet Tables 3 and 4 show two-digit random number intervals that could be used to sample times between breakdowns and required repair times, in hours, from each distribution The repair staff consists of one person who repairs generators when they fail on a first-come, first-served basis. A staff member costs $30 per hour and one is on duty at all times. Each hour that a generator is down costs the company $100 Management is considering hiring enough repair staff to have two people on duty at all times. It estimates that two workers would reduce the breakdown repair times by 50%, or half of the current times (or 0.5, 1. and 1.5 hours with the same probabilities). (b) Copy the headings and random numbers from the worksheet below onto Exam 2 Worksheet Table S. (c) In Table 5, simulate 10 breakdowns, for both one and two workers. Show the times as hours since starting 122 10 00 Www Tune teren www RE Code Clock Code Glode Anime the ARN Then 2 4 sal 11 10 14 39 ES 7 . 9 30 LE 13 S (d) Based on your simulation, what would be the cost difference of adding another worker to the repair staff? 1 (Show your work.)