Question

the average number of patients arriving at the emergency room is 10 per hour, what probability...

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

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Ans : Poisson Distribution

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.

For the Given problem,

Event is the patient arriving at the emergency room.

the average number of times the event occurs over that time period: average number of patients arriving at the emergency room is 10 per hour

the number of events occurring in a given time period - Number of  patient will arrive within the next hour

Hence

Probability distribution should be used in order to find the probability that at least 8 patient will arrive within the next hour

is Poisson distribution

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The number of people arriving at an emergency room follows a Poisson distribution with a rate...
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 number of people arriving for treatment at an emergency room can be modeled by a...
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...
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?
If the number of patients arriving to emergency room follows Poisson distribution, then the time between...
If the number of patients arriving to emergency room follows Poisson distribution, then the time between arrivals is exponentially distributed.
The number of people arriving for treatment at an emergency room can be modeled by a...
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...
On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in...
On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in the next 15 minutes, more than 1 patient will visit the surgery? Assuming the number of patients visiting a doctor’s surgery follows a Poisson distribution.
New patients arrive at the emergency room in Mercy Hospital at a mean arrival rate of...
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...
28. New patients arrive at the emergency room in Mercy Hospital at a mean arrival rate...
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...
Work the following problem in Excel Patients arrive at the emergency room of Costa Valley Hospital...
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?
The administrator at the City Hospital’s emergency room faces a problem of providing treatment for patients...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT