Question: answer all and show work please 3. (19 points) You manage a retail business with a high-end product line. As such, you want to give

answer all and show work please

3. (19 points) You manage a retail business with a high-end product line. As such, you want to give each guest your full attention during the service time. Customers arrive, on average, every 3.5 minutes, exponentially distributed. On average, each server takes 2 minutes to serve each customer, exponentially distributed. = and = (6 points) a. Assuming a single server model, find average wait time in the queue. ( 3 points) b. Find the average server utilization rate. ( 3 points) c. What is the probability of more than 3 customers in the system at any point in time? (7 points) 3. (19 points) You manage a retail business with a high-end product line. As such, you want to give each guest your full attention during the service time. Customers arrive, on average, every 3.5 minutes, exponentially distributed. On average, each server takes 2 minutes to serve each customer, exponentially distributed. = and = (6 points) a. Assuming a single server model, find average wait time in the queue. ( 3 points) b. Find the average server utilization rate. ( 3 points) c. What is the probability of more than 3 customers in the system at any point in time? (7 points)

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