Question

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of four per hour.

(a) What is the probability that exactly two arrivals occur during a particular hour? (Round your answer to three decimal places.)

(b) What is the probability that at least two people arrive during a particular hour? (Round your answer to three decimal places.)

(c) How many people do you expect to arrive during a 15-min period? people

Answer #1

The number of people arriving for treatment at an emergency room
can be modeled by a Poisson process with a rate parameter of five
per hour. By using Poisson Distributions. Find:
(i) What is the probability that exactly four arrivals occur
during a particular hour?
(ii) What is the probability that at least four people arrive
during a particular hour?
(iii) What is the probability that at least one person arrive
during a particular minute?
(iv) How many people do...

The number of people arriving for treatment in one hour at an
emergency room can be modeled by a random variable X. Mean of X is
5.
a) What’s the probability that at least 4 arrivals
occurring?
b) Suppose the probability of treating no patient in another
emergency room is 0.05, which emergency room could be busier?
Why?

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 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

If
the number of patients arriving to emergency room follows Poisson
distribution, then the time between arrivals is exponentially
distributed.

Number of visits to an emergency center is modeled as a Poisson
process with average number of arrivals being 6 per hour. What is
the probability that it will take more than 15 minutes for the next
two arrivals?

Number of patients that arrive in a hospital emergency center
between 6 pm and 7 pm is modeled by a Poisson distribution with
λ=3.5. Determine the probability that the number of
arrivals in this time period will be
Exactly four
At least two
At most three

Number of visits to an emergency center is modeled as
a poisson process with an average number of arravals being 6 per
hour. What is the probability that it will take more than 15
minutes for the next two arrivals?
PLEASE SHOW ALL WORK

The number of tickets issued by a meter reader for parking-meter
violations can be modeled by a Poisson process with a rate
parameter of five per hour. What is the probability that exactly
three tickets are given out during a particular hour? Find the mean
and standard deviation of this distribution.
P(X=3) = 0.1404
Mean = 5
Standard deviation = 2.2361
UNANSWERED: What is the probability that
exactly 10 tickets are given out during a particular 3-hour
period?

Work the following problem in Excel
Patients arrive at the emergency room of Costa Valley Hospital
at an average of 5 per day. The demand for emergency room treatment
at Costa Valley follows a Poisson distribution. (a) Using Excel
compute the probability of exactly 0, 1, 2, 3, 4, and 5 arrivals
per day. (b) What is the sum of these probabilities, and why is the
number less than 1?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 16 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 35 minutes ago

asked 44 minutes ago

asked 51 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago