A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the proportion of the time that the employee is busy Find the average number of people receiving and waiting to receive some information

new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the probability that the employee is idle. Find the proportion of the time that the employee is busy. Find the average number of people receiving and waiting to receive some information. Find the average number of people waiting in line to get some information. Find the average time a person seeking information spends in the system. Find the expected time a person spends just waiting in line to have a question answered (time in the queue).

A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the probability that the employee is idle?

Customers arrive at Best-Bank-in-Town’s (BBT) sole ATM location at a rate of 21 customers per hour. It is assumed that the arrival process is random. BBT recently hired an intern who estimated that the average service time is 2 minutes per customer with a standard deviation of 1.2 minutes. [Assume that the arrival rate is the same throughout the day without peak and off-peak considerations and that there is only one ATM machine at that location] 1. Calculate average waiting time for ATM user at the BBT location 2. Calculate average length of queue at the ATM location (i.e. average numbers of customers waiting for service)? 3. What is the probability that an arriving customer has no waiting time to use the ATM? 4. BBT wants to cut the average waiting time in half without necessarily adding another ATM machine. They are in discussions with their ATM software provider who has told them that their new software is very consistent with information retrieval and can greatly minimize the…

Please build and simulate the following model in ARENA.In this model, car loan applications arrive at processing center approximately every 5 minutes. At this point, 1 of 5 loan officers will review the application to ensure that it is complete. This review step usually takes 15 minutes, but can be as short as 12 minutes or as long as 18 minutes. Applications are sent to an automatic processing machine where they are processed. This process can take from 0.5 to 1.5 hours to complete, but usually requires 1 hour. It is assumed that the automatic processor can process as many applications as needed.After processing, the results are reviewed by a loan officer who will write either an acceptance or rejection document. This task usually takes 7 minutes, but can require anywhere from 5 to 10 minutes to complete.At this point the loan application process is complete, and the acceptance or rejection document is sent to the customer.Run this simulation for one 8-hour day (5 replications).