1. (30 Pts.) Consider the reception desk of a clinic. Currently a single receptionist attends to all arrivals. Analyzing historical data, you have found that the inter-arrival times of patients to the clinic are exponentially distributed with mean 1.20 minutes. In addition, registrtation times are Log-Normally distributed with mean 1.0 minute and variance 0.5. The clinic is considering replacing the receptionist with a touch screen kiosk. Data on intraction times with the kiosk suggests the average intraction time with the kiosk will remain eqaul to 1.0 as before, but the variance will double since some patients may be unfamiliar with the technology or find it hard to use the kiosk. (a) Calculate the expected steady-state waiting time of patients in the queue, and excluding the service time) for the current system with a single receptionist. (b) Calculate the expected steady-state waiting time of patients in the conceptual system where the receptionist is replaced with the kiosk. (c) Explain, in one sentence, why the waiting times will be longer with the kiosk. 1. (30 Pts.) Consider the reception desk of a clinic. Currently a single receptionist attends to all arrivals. Analyzing historical data, you have found that the inter-arrival times of patients to the clinic are exponentially distributed with mean 1.20 minutes. In addition, registrtation times are Log-Normally distributed with mean 1.0 minute and variance 0.5. The clinic is considering replacing the receptionist with a touch screen kiosk. Data on intraction times with the kiosk suggests the average intraction time with the kiosk will remain eqaul to 1.0 as before, but the variance will double since some patients may be unfamiliar with the technology or find it hard to use the kiosk. (a) Calculate the expected steady-state waiting time of patients in the queue, and excluding the service time) for the current system with a single receptionist. (b) Calculate the expected steady-state waiting time of patients in the conceptual system where the receptionist is replaced with the kiosk. (c) Explain, in one sentence, why the waiting times will be longer with the kiosk