Question

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 probability that during the next 2 hours exactly 20 people will arrive and less than 7 will be hospitalized

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 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...

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

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 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?

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?

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

New patients arrive at
the emergency room in Mercy Hospital at a mean arrival rate of 14.4
patients per hour.
a.
What is the probability that no new patients will arrive at the
emergency room within a 15-minute interval?
Do not round
intermediate calculations. Round your answer to four decimal
places.
Probability =
b.
What is the probability that more than one new patient
will arrive at the emergency room within a 15-minute interval?
Round
intermediate probabilities to four...

1) Which of the following situations follows a Poisson
probability distribution? The number of patients who check in to a
local emergency room between 7 and 10 p.m. The number of foxes in a
one-acre field The number of MacBook Pros purchased at a particular
store in the first month after a newly released version The number
of children on a playground during a 24-hour period 2)The mean
number of burglaries in a particular community is μ = 3.4 per...

28. New patients arrive at the emergency room in Mercy Hospital
at a mean arrival rate of 18.0 patients per hour.
a. What is the probability that no new patients will arrive at
the emergency room within a 15-minute interval? Do not round
intermediate calculations.
Round your answer to four decimal places. Probability = ???
b. What is the probability that more than one new patient will
arrive at the emergency room within a 15-minute interval? Round
intermediate probabilities to...

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