The Department of Motor Vehicles (DMV) can service customers at a rate of 20 per hour when it comes to license renewals. The service time follows an exponential distribution. What is the expected value and standard deviation?
A.) 3, 0.33
B.) 1/3, 0.33
C.) 20, 0.11
D.) 1/3, 0.11
The Department of Motor Vehicles (DMV) can service customers at a rate of 20 per hour...
The Department of Motor Vehicles is concerned about the length of time customers wait in line at the Sacramento office. The satisfaction surveys indicate the wait time may be well above the statewide average of 11.30 minutes for all DMV offices. DMV wants to closely monitor the wait time. To start, a sample of 250 customers’ wait time was drawn to develop a baseline performance target for the performance tracking. The average wait time of the sample is 11.90 minutes,...
The local Department of Motor Vehicles (DMV) issues new licenses and renews licenses. (See the diagram below.) 48 applicants enter the DMV per hour. All applicants see the receptionist first. The receptionist directs them in one of three directions: 75% of the applicants are sent directly to the issue-license Station where a new photo and license are done. 10% of the applicants must first take a multiple-choice test on one of the computers. The remaining 15% of applicants should first...
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank lobby has enough space for 10 customers. When the lobby is full, an arriving customers goes to another branch and is lost. The bank manager assigns one teller to customer service as long as the number of customers in the lobby is 3 or less. She assigns two tellers if the number is more than 3 but less than 8. Otherwise she assigns...
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
Problem 3: Assume that a single-server queueing system has a Poisson interarrival process with a rate of 10 customers per hour. Also, assume that the service time is exponential with at a rate of 12 customers per hour. Answer the following questions to 3 significant digits: a) What is the expected utilization of the server? b) What is the log-run time average of number of customers in the system? c) Using Little's law, use the answer from part (b) to calculate the average waiting...
Case Study State Automobile Licence Renewals Mary Coupe, the manager of a metropolitam branch office of the State Department of Motor Vehicles, was mder severe pressure to increane director of the Department of Motor Vehicles told her that she had better sccommodate the demand for renewals. Otherwise "heads will roll" Mary decided to perform an analysis of the driver's license renewal operations. Several steps were to be performed in the process. After examining the license renewal process, the identified the...
QUESTIONS For MM: GD queuing system with 2 servers of service rate =40 customers per hour per server and arrival ratei - 45 customers per hour, on the verge, how long in minutes) does a customer wait in line round off to 2 decimal digits) QUESTION 10 A small branch bank has two teller, one for deposits and one fow withdrawals Cistomers arrivent arch teller's window with an average rate of 20 customers per hour. The total customer anivartes per...
Customers are serviced at a rate of six customers per hour according to an exponential distribution. What is the probability that customer service will require fewer than 20​ minutes? A. Greater than 0.70 but less than or equal to 0.80 B. Greater than 0.90 C. Less than or equal to 0.70 D. Greater than 0.80 but less than or equal to 0.90. Please show all work