1. Clark Property Management is responsible for the maintenance , rental and dayto-day operation of a large apartement complex on the east side of New Orleans. George Clark is especially concern about the cost projections for replacing air conditioner compressors. He e would like to simulate the number of compressor failures each years over the next 20 years. Using data from similar apartement building he manages in a New Orleans suburb, Clark establis a table of relative frequency failures during a year as shown in the following table : NUMBER OF AC COMPRESSOR FAILURES 0 1 2 3 4 5 6 PROBABILITY ( RELATIVE FREQUENSI) 0.06 0.13 0.25 0.28 0.20 0.07 0.01 He decided to simulated the 20-year period. Select the random numbers. Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year ? 2. The number of cars arriving per hour at Lundberg’s Car Wash during the past 200 hours of operation is observed to be the following : NUMBER OF CAR ARRIVING 3 or less 4 5 6 7 8 9 or more FREQUENSI 0 20 30 50 60 40 0 a) Set up a probability and cummulative probability distribution for the variabel of car arrivals. b) Establish random number interval for variable. c) Simulate 15 hours of car arrivals and compute the average number of arrivals per hour. 3.