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 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...

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

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...

If the number of arrivals in a cell phone shop follows a Poisson
distribution, with a reason of 10 clients per hour:
What is the probability that in the next half hour, 4 clients
arrive?
What is the probability that in the next two hours, between 18
and 22 clients arrive?
What is the average time between arrivals?
What is the median of the time between arrivals?
What is the probability that the time that transpires for the
next arrival...

The number of cars arriving at a gas station can be modelled by
Poisson distribution with the average rate of 5 cars per 10
minutes. a. The probability that one car will arrive to a gas
station in a 5 -minute interval is _________ b. The probability
that at least one car will arrive to the gas station in a 10 -
minute interval is ______

Cars arrive to a gas station according to a Poisson
distribution with a mean of 4 cars per
hour. Use Excel or StatCrunch to
solve.
a. What is the expected number of cars arriving
in 2 hours, or λt?
b. What is the probability of 6 or less cars
arriving in 2 hours? ROUND TO FOUR (4) DECIMAL
PLACES.
c. What is the probability of 9 or more cars
arriving in 2 hours? ROUND TO FOUR (4) DECIMAL
PLACES.

The number of customers that enter a Starbucks follows a Poisson
distribution with an average of 2 customers every 15 minutes.
(a) What is the probability that on the next hour at least six
customers enter this Starbucks?
(b) Assuming that a customer just walked in, what is the
probability that the next customer walks in after 15 minutes?
(c) Suppose 5% of people who pass this Starbucks enter for a
coffee. What are the chances that among the next...

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