IV. Variability and Waiting Times Chapter 8 (Max 25 Points): Consider check in process at Cincinnati CVG airport where Traveling MBA takes her Delta Airlines flight to Atlanta. She can choose either to check in with a self-service counter or with an agent. During busy periods, a new passenger walks to a self-service counter every 15 minutes (with a standard deviation of 30 minutes). The passengers who want to check in with an agent walk in every 30 minutes (with a standard deviation of 1 hour). There are 4 self-service counters installed, while there is 1 agent. A typical check-in process takes 7.5 minutes (with a standard deviation of 7.5 minutes), regardless of whether an agent or a self-service counter. 1. (10 points) (i) If Traveling MBA walks to a self-service counter to check in during a busy period, how long must she wait (on average) in line before she can use the machine? (Only include the waiting time, not any service time.) (ii) If Traveling MBA goes to an agent, how long must she wait (on average) in line before being. serveds 2. (*5 points ) Delta Airlines proposes to have all check-ins to be self-service. This would mean that the previous traffic of agent check-in passengers now flows to the self-service counters. To accommodate the new flow rate, Delta Airlines now installs one additional self-service counter (from 4 counters to 5). What is the new average interarrival time at a self-service counter? IV. Variability and Waiting Times Chapter 8 (Max 25 Points): Consider check in process at Cincinnati CVG airport where Traveling MBA takes her Delta Airlines flight to Atlanta. She can choose either to check in with a self-service counter or with an agent. During busy periods, a new passenger walks to a self-service counter every 15 minutes (with a standard deviation of 30 minutes). The passengers who want to check in with an agent walk in every 30 minutes (with a standard deviation of 1 hour). There are 4 self-service counters installed, while there is 1 agent. A typical check-in process takes 7.5 minutes (with a standard deviation of 7.5 minutes), regardless of whether an agent or a self-service counter. 1. (10 points) (i) If Traveling MBA walks to a self-service counter to check in during a busy period, how long must she wait (on average) in line before she can use the machine? (Only include the waiting time, not any service time.) (ii) If Traveling MBA goes to an agent, how long must she wait (on average) in line before being. serveds 2. (*5 points ) Delta Airlines proposes to have all check-ins to be self-service. This would mean that the previous traffic of agent check-in passengers now flows to the self-service counters. To accommodate the new flow rate, Delta Airlines now installs one additional self-service counter (from 4 counters to 5). What is the new average interarrival time at a self-service counter