Question

**-On the weekend, emergency services average four
patients per hour, and the service rate is expected to be 40
minutes.**

**How many nurses will be needed to achieve an average
time in the line of 30 minutes or less? [ Poisson
Distrubution]**

Answer #1

**Solution:**

the average number of patients arriving at the emergency room is
10 per hour, what probability distribution should be used in order
to find the probability that at least 8 patient will arrive within
the next hour
a-binomial
b-poisson
c-multinomial
d-uniform
e-geometric

The administrator at the City Hospital’s emergency room faces a
problem of providing treatment for patients that arrive at
different rates during the day. There are four doctors available to
treat patients when needed. If not needed, they can be assigned to
other responsibilities (for example, lab tests, reports, x-ray
diagnoses, etc.) or else rescheduled to work at other hours.
It is important to provide quick and responsive treatment, and
the administrator feels that, on the average, patients should not...

General Hospital admits an average of 8 patients per hour. Use
the Poisson probability table below to determine the probability
that between 3 and 7 patients (inclusively) are admitted in the
next 30 minutes.

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.

The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour.
a.What is the probability that exactly 7 patients will arrive during the next hour?
b. What is the probability that at least 7 patients will arrive during the next hour?
c. How many people do you expect to arrive in the next two hours?
d. One in four patients who come to the emergency room in hospital. Calculate the...

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...

On average, a financial aid counselor can see students at a rate
of 5.75 per hour. Counseling session time is thought to follow the
exponential probability distribution. Find the following
probabilities
a) the probability that service time is less than 8 minutes
b) the probability that service time exceeds 13 minutes
c) the probability that service time is exactly 10 minutes
d) the probability that service time is between 9 and 15
minutes

Moore, Aiken, and Payne is a critical-care dental clinic serving
the emergency needs of the general public on a first-come,
first-served basis. The clinic has four dental chairs, three of
which
are currently staffed by a dentist. Patients in distress arrive at
the rate of five per hour, according to a Poisson distribution, and
do not balk or renege. The average time required for an emergency
treatment is 30 minutes, and has an exponential distribution.
a. What is the probability...

A walk-in clinic for emergency room services maintains
records of the number of patients it treats per day. The
following table shows the frequency of the patient arrivals
over the course of a
168168-day
period.
a.
Calculate the approximate average number of patients per
day.
b.
Calculate the approximate variance and standard deviation of the
number of patients per day.
Number of Patients per Day
Frequency
20 to under 40
1717
40 to under 60
2020
60 to under 80...

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...

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