QUESTION 1 Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O). About 30% of the customers are for Tire Replacement and the other 70% are for Oil Change. All customers are serviced on a first come first served basis. During regular hours, customers arrive at the service center according to the probability distribution in the following table Two technicians are working at the service center and both of them are skillful enough for both Tire Replacement and Oil Change. Once finishing the job for a customer, a technician will take care of the next customer waiting in line. When both technicians are idle, the one who finished the last job earlier will take care of the next incoming customer. The times taken by the two jobs by any of the technicians follow the probability distributions in the following tables. You are required to simulate the operations of the auto service center for 15 customers. Before answering the following questions, you may use the following tables to determine the cumulative probability distributions and assign random number intervals for customer arrivals, customer service types, and time needed for both types of services. You may also simulate the operations of this auto service center for the 15 customers using the random numbers given in the following table. The Start Time is the time point when the job for the customer starts and the Finish Time" is the time point when the job for the customer finishes. For customer arrivals, the random number interval assigned to the Time between Arrivals of 5 minutes is 0.0000-0.1499 0.1500-0.3999 0.4000-0.7999 0.8000-0.9999 None of the above 1 points QUESTION 2 For customer arrivals, the random number interval assigned to the Time between Arrivals of 15 minutes is 0.0000-0.1499 0.1500-0.3999 0.4000-0.7999 0.8000-0.9999 None of the above 1 points QUESTION 3 For the Customer Service Type, the random number interval assigned to Tire Replacement is 0.0000-0.6999 0.0000-0.2999 0.2999-0.9999 0.3000-0.9999 None of the above 1 points QUESTION 4 For the Customer Service Type, the random number interval assigned to Oil Change is 0.0000-0.6999 0.0000-0.2999 0.2999-0.9999 0.3000-0.9999 None of the above 1 points QUESTION 5 For the Tire Replacement, the random number interval assigned to Service Time 25 minutes is 0.0000-0.1999 0.2000-0.4499 0.4500-0.8499 0.8500-0.9999 None of the above 1 points QUESTION 6 For the Tire Replacement, the random number interval assigned to Service Time 35 minutes is 0.0000-0.1999 0.2000-0.4499 0.4500-0.8499 0.8500-0.9999 None of the above 1 points QUESTION 7 For the Oil Change, the random number interval assigned to the Service Time 15 minutes is 0.0000-0.2999 0.3000-0.6999 0.7000-0.8999 0.9000-0.9999 None of the above 1 points QUESTION 8 For the Oil Change, the random number interval assigned to the Service Time 20 minutes is 0.0000-0.2999 0.3000-0.6999 0.7000-0.8999 0.9000-0.9999 None of the above 1 points QUESTION 9 For customer 5, the time between arrivals and the time of arrival are, respectively, 10 and 45 10 and 35 10 and 25 10 and 15 None of the above 1 points QUESTION 10 For customer 5, the service type and time needed are, respectively, O and 20 O and 25 T and 20 T and 25 None of the above 1 points QUESTION 11 For customer 5, the service Start Time and Finish Time are, respectively, 10 and 45 20 and 45 20 and 40 45 and 60 None of the above 1 points QUESTION 12 For customer 10, the time between arrivals and the time of arrival are, respectively, 20 and 90 20 and 120 15 and 90 15 and 120 None of the above 1 points QUESTION 13 For customer 10, the service type and time needed are, respectively, O and 20 O and 25 T and 20 T and 25 None of the above 1 points QUESTION 14 For customer 10, the service Start Time and Finish Time are, respectively, 100 and 125 100 and 145 120 and 140 120 and 145 None of the above 1 points QUESTION 15 For customer 15, the time between arrivals and the time of arrival are, respectively, 10 and 160 100 and 160 10 and 125 10 and 150 None of the above 1 points QUESTION 16 For customer 15, the service type and time needed are, respectively, O and 20 O and 25 T and 20 T and 25 None of the above 1 points QUESTION 17 For customer 15, the service Start Time and Finish Time are, respectively, 180 and 195 175 and 190 175 and 185 165 and 180 None of the above 1 points QUESTION 18 On the average, a customer must wait for 10 minutes 5 minutes 9/5 minutes 10/3 minutes None of the above