Homework Help is Here – Start Your Trial Now!
Math
Probability
Lanang Café has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The café has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a coffee. e) What is the customers average waiting time on arrival?

Lanang Café has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The café has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a coffee. e) What is the customers average waiting time on arrival?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Topic Video
Question
100%

Help me answer these queations. Thank you very much.

Lanang Café has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The café has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a coffee. e) What is the customers average waiting time on arrival?
Transcribed Image Text:Lanang Café has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The café has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a coffee. e) What is the customers average waiting time on arrival?
Angkut Deras Hauling Company has two long-trip cars rental services inclusive with a driver at Kota Kinabalu International Airport. The company has determine during the late-evening hours on weekend, customers request driver for cars rental at a rate that follows the Poisson distribution with a mean of 0.8 per hour. Travel and assistance time is exponential with a mean of 1 request per hour. Find each of the performance measures of this waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company? b) Probability that both drivers will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a driver. e) What is the customers average waiting time on arrival?
Transcribed Image Text:Angkut Deras Hauling Company has two long-trip cars rental services inclusive with a driver at Kota Kinabalu International Airport. The company has determine during the late-evening hours on weekend, customers request driver for cars rental at a rate that follows the Poisson distribution with a mean of 0.8 per hour. Travel and assistance time is exponential with a mean of 1 request per hour. Find each of the performance measures of this waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company? b) Probability that both drivers will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a driver. e) What is the customers average waiting time on arrival?
Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS