4. [20 points] 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 CARS 3 or 9 of ARRIVING fewer 4 5 6 7 more FREQUENCY 0 20 30 50 60 40 0 a. Set up a probability and cumulative probability distribution for the variable of car arrivals. b. Establish random number intervals for the variable. c. Simulate 24 hours of car arrivals and compute the average number of arrivals per hour. Use the random numbers from the following list: 18,89,45,85,32,13,59,0,57,87,31,78.7,27,34,30,57,74,41,2,82,56,27,45,8 (You may use Excel, but use the random numbers given above)