Question

In: Statistics and Probability

Problem 15-7 (Algorithmic) Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide...

Problem 15-7 (Algorithmic)

Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 4.5 cars per hour. The service rate is 6 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.

  1. What is the average number of cars in the system? If required, round your answer to two decimal places

    L =
  2. What is the average time that a car waits for the oil and lubrication service to begin? If required, round your answer to two decimal places.

    Wq =  hours
  3. What is the average time a car spends in the system? If required, round your answer to two decimal places.

    W =  hours
  4. What is the probability that an arrival has to wait for service? If required, round your answer to two decimal places.

    Pw =

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Problem I: Suppose you are the manager of Speedy Oil Change which claims that it will...
Problem I: Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 minutes on average. Further suppose that several complaints have been filed from customers stating that their oil change took longer than 30 minutes. Upper-level management at Speedy Oil Change headquarters has requested that you investigate the complaints. To begin your investigation, you randomly audit 36 oil changes performed by Speedy Oil Change and record...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq =  hours W =  hours...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq =  hours W =  hours...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq =  hours W =  hours...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq = hours W...
The time required for an automotive center to complete an oil change service on an automobile...
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal? distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. ?(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take? longer, the customer will receive the service for? half-price. What percent of customers receive the service for? half-price? ?(b) If the automotive center does not want...
The time required for an automotive center to complete an oil change service on an automobile...
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal​ distribution, with a mean of 19 minutes and a standard deviation of 3 minutes. ​(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take​ longer, the customer will receive the service for​ half-price. What percent of customers receive the service for​ half-price? ​(b) If the automotive center does not want...
The time required for an automotive center to complete an oil change service on an automobile...
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal​ distribution, with a mean of 17 minutes and a standard deviation of 2.5 minutes. ​(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take​ longer, the customer will receive the service for​ half-price. What percent of customers receive the service for​ half-price? ​(b) If the automotive center does not want...
Problem 11-21 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 11-21 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants...
Problem 11-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...
Problem 11-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.4 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Round your answers to four decimal places. Do not round intermediate calculations. Lq = L = Wq...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT