(18 Points) Three airlines compete on the route between New York and Los Angeles. Stanton Marketing has performed an analysis of first class business travelers to determine their airline choice. Stanton has modeled this choice as a Markov process and has determined the following transition probabilities: Last Airline A B A 0.50 0.30 0.10 Next Airline B 0.30 0.45 0.35 0.20 0.25 0.55 a. Show the random number assignments that can be used to simulate the first class business traveler's next airline when her last airline is A, B, and C. A Last RNS A Next B Next C Next B Last RNS A Next B Next C Next C Last RNS A Next B Next C Next b. Assume the traveler used airline C last. Simulate which airline the traveler will be using over her next 25 flights. What percent of her flights are on each of the three airlines? Use the following random numbers, going from left to right, top to bottom. 71 95 83 44 34 49 88 56 05 39 75 12 03 59 29 77 76 57 15 53 37 46 85 24 53 % of flights on airline A % of flights on airline B % of flights on airline C