Question

Suppose you’re designing an automated vending machine to serve espresso drinks. Espresso drinkers form a single...

Suppose you’re designing an automated vending machine to serve espresso drinks. Espresso drinkers form a single waiting line and enter the line at a rate of 100 per hour, arriving according to a Poisson process. The machine can process drinks at a rate of 120 drinks per hour, with service times exponentially distributed.

(a) What is the probability that there are no people in the waiting line?

(b) What is the average length of the waiting line?

(c) What is the average number of minutes people spend waiting in line?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you’re designing a bridge for vehicle traffic over the Cache la Poudre River. Cars are...
Suppose you’re designing a bridge for vehicle traffic over the Cache la Poudre River. Cars are expected to arrive at the central toll plaza at a rate of 70 per hour. You will have four toll booths, which can each process cars at a rate of 30 cars per hour. Assume cars arrive into the toll plaza according to a Poisson distribution and wait in queue until the next available toll booth opens up. Assume car processing times are exponentially...
The Riverton Post Office has four stations for service. Customers line up in single file for...
The Riverton Post Office has four stations for service. Customers line up in single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson Distributed, and the mean service time per service is 4 minutes, exponentially distributed. In evaluating the system's operating characteristic, what decision should be made? Decrease the number of servers Increase the service rate No changes required, system is adequate Increase the number of servers Decrease the arrival rate A vending...
Two hot dog vendors at a football game get a surge of customers arriving as a...
Two hot dog vendors at a football game get a surge of customers arriving as a Poisson Process with rate 10 per minute during halftime. Each vendor takes half a minute on average to serve one customer. The waiting line has space for the one or two customers being served plus 15 more to wait. If more than 15 are waiting, the line starts to obstruct foot traffic. Estimate the number of minutes until foot traffic is obstructed, if the...
during the evening shift at kroger only one full service lane is open with 1 cashier...
during the evening shift at kroger only one full service lane is open with 1 cashier , customers arrive at the checkout lane according to a poisson process with rate of 30 per hour. the cashier works at an exponential rate of 45 per hourand there is no limit on the number of people per line. what is the expected amount of time in minutes for a customer to spend in the system(from when they get in line to they...
Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a...
Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 33 customers per...
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as...
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is...
A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a...
A large bank branch employs 5 tellers to serve its customers. Customers arrive according to a Poisson process at a mean rate of 3 per minute. The transaction time between the teller and customer has an exponential distribution with a mean of 1 minute. The management has established the following guidelines for the satisfactory level of service to customers: The average number of customers waiting in line to begin service should not exceed 1. At least 95% of the time,...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per hour, and the arrivals follow a Poisson distribution. Joe, the stand owner, works alone and takes an average of 0.857 minutes to serve one customer. Assume that the service time is exponentially distributed. a) What is the average number of people waiting in queue and in the system? (2 points) b) What is the average time that a customer spends waiting in the queue...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per...
Suppose that the customers arrive at a hamburger stand at an average rate of 49 per hour, and the arrivals follow a Poisson distribution. Joe, the stand owner, works alone and takes an average of 0.857 minutes to serve one customer. Assume that the service time is exponentially distributed. a) What is the average number of people waiting in queue and in the system? (2 points) b) What is the average time that a customer spends waiting in the queue...
Burger house sells hamburgers, cheeseburgers, French fries, soft drinks, and milkshakes, as well as a limited...
Burger house sells hamburgers, cheeseburgers, French fries, soft drinks, and milkshakes, as well as a limited number of specialty items and dessert selections. Although Burger house would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger house food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger house analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT