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.
- What is the average number of cars in the system? If required,
round your answer to two decimal places
L = - 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 - What is the average time a car spends in the system? If
required, round your answer to two decimal places.
W = hours - What is the probability that an arrival has to wait for
service? If required, round your answer to two decimal
places.
Pw =
Solutions
orchestra answered 1 year agoRelated 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...
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