Question: At McMaster library, students arrive randomly at the front help desk. There is only one employee who helps with students. The time required for inquiry

At McMaster library, students arrive randomly at the front help desk.

At McMaster library, students arrive randomly at the front help desk. There is only one employee who helps with students. The time required for inquiry varies from student to student. Arrivals have been found to follow the Poisson process (i.e., exponentially distributed inter-arrival times), and the service times follow the exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. How long should a student expect to spend at the help desk (waiting + inquiry)? 7.5 minutes 1.5 minutes 0.125 minute 0.075 hour 0.9 minute Question 14 (1 point) At a fashion retailer, there are 7 cashiers providing checkout service to customers simultaneously. On average, customers arrive at the checkout area every 6 minutes. The standard deviation of the inter-arrival time is 6 minutes. The average checkout time for each customer is 12 minutes, with its standard deviation equal to 15 minutes. What is the fraction of time during which a cashier is busy (i.e., what is the utilization of a cashier)? Note: 1. Provide your answer as a percentage, but do not include the % mark. 2. Round your answer to 2 decimal places. For example, if your answer is 58.123%, enter 58.12. Your Answer: Answer Question 15 (1 point) Saved A call centre currently has 30 service agents to answer customers' phone calls. The current utilization of each agent is below 100%. If the call centre increases the number of service agents, while the average arrival rate of calls and average phone call duration remain the same, the utilization of each agent will: Cannot be determined Decrease Stay the same Increase

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