Question

With an average service rate of 15 customers per hour and an average customer arrival rate of 12 customers per hour, calculate the probability that actual service time will be less than or equal to five minutes.

Answer #1

To solve this problem our approach will be as follows;

In a car pressure wash the average arrival rate is 12 cars per
hour and are serviced at an average rate of 15 cars per hour, with
service times exponential.
It is requested:
a) Probability that the system is empty.
b) Average number of clients in the washing system.
c) Average number of clients in the row.
d) Average time a customer waits in line.
e) Probability of having a row of more than 2 clients.
f) Probability of waiting...

If the average arrival rate is 10 per hour, and the average time
it takes to help a customer is 5 minutes, then:
Group of answer choices
No customer will ever have to wait: we can help more customers
per hour than arrive
Utilization is less than 100%: we can help more customers per
hour than arrive, but we may have a queue form and customers might
have to wait..
None of the other answers are correct
There can never...

For an M/M/1/GD/∞/∞ queuing system with arrival rate λ = 16
customers per hour and service rate μ = 20 customers per hour, on
the average, how long (in minutes) does a customer wait in line
(round off to 3 decimal digits)?

Arrival Rate = 1/50 = 0.02 calls hour.
Service Rate= 1 hour (travel time) + 1.5 hour (repair
time) =2.5 hours
With m = 1/ 2.5 = 0.4 hours per customers
** PLEASE SHOW HOW TO DO EQUATION **
OEI is satisfied that one service technician can handle the 10
existing customers. Use a waiting line model to determine the
following information:
(a) probability that no customers are in the system,
(b) average number of customers in the waiting line,...

A simple queueing system has an arrival rate of 6 per hour and
a service rate of 10 per hour. For this system the average time in
line has been estimated to be 20 minutes. Using Little’s Law
estimate the following:
Average time in the queueing system
Average number of customers in the queueing system
Average number of customers in the queue
Average number of customers in service.

Marty's Barber Shop has one barber. Customers have an arrival
rate of 2.3 customers per hour, and haircuts are given with a
service rate of 4 per hour. Use the Poisson arrivals and
exponential service times model to answer the following
questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 = _____
What is the probability that one customer is receiving a haircut
and no one is...

A street noodle vendor in Singapore can service an average of 10
customers per hour. Given an average arrival rate of 8 customers
per hour, use the Poisson distribution to calculate the probability
that the vendor can handle the demand.
What is the probability of having, at most, 10 customers
arriving within 1 hour?

Speedy Oil provides a single-channel automobile oil change and
lubrication service. Customers provide an arrival rate of 2.5 cars
per hour. A mechanic needs 15 minutes to serve one car. Assume
Poisson arrivals and exponential service time (show steps)
A) What is the average number of cars in the system (auto
shop)
B) What is the probability that an arrival has to wait for
service
C) What is the average time that a car waits for the oil and
lubrication...

If an average of 12 customers is served per hour, what is the
probability that the next customer will arrive in 9 minutes or
less?

Customers of a computer manufacturer call customer service at an
average rate of 20 calls per hour. Use a Binomial process with
5-second frames to find the probability of no more than 8 calls
during the next 15 min. (Round to four decimal
places.)
0.6691 and 0.9320 are incorrect!

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