Question

In: Statistics and Probability

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 9 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

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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 7 people per hour. a. What is the probability that exactly 5 patients will arrive during the next hour? (3pts) b. What is the probability that at least 5 patients will arrive during the next hour? (5pts) c. How many people do you expect to arrive in the next two hours? (4pts) d. One in four patients who come to the emergency room...
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 5 per hour. In other words, the mean number of people arriving in one hour is 5. (Use R) (a) What is the probability that exactly four arrivals occur during a particular hour? (b) What is the probability that at least 4 people arrive during a particular hour? (c) What is the probability that at most 4...
The number of people crossing at a certain traffic light follows a Poisson distribution with a...
The number of people crossing at a certain traffic light follows a Poisson distribution with a mean of 6 people per hour. An investigator is planning to count the number of people crossing the light between 8pm and 10pm on a randomly selected 192 days. Let Y be the average of the numbers of people to be recorded by the investigator. What is the value of E[Y ]? A. 6 B. 12 C. 1152 D. 0.03125. What is the value...
The number of arriving customers to a big supermarket is following a Poisson distribution with a...
The number of arriving customers to a big supermarket is following a Poisson distribution with a rate of 4 customers per a minute. What is the probability that no customer will arrive in a given minute? What is the probability that exactly 3 customers will arrive in a given minute? What is the probability that at least seven customer will arrive in a given minute? What is the probability that at most one customer will arrive in 40 seconds? What...
The number of passengers arriving at a checkout counter of an international airport follows a Poisson...
The number of passengers arriving at a checkout counter of an international airport follows a Poisson distribution. On average, 4 customers arrive every 5-minutes period. The probability that over any 10-minute interval, at most 5 passengers will arrive at the checkout counter is A:- 0.1221 B:- 0.1250 C:- 0.2215 D:- 0.8088 The number of customers who enter a bank is thought to be Poisson distributed with a mean equal to 10 per hour. What are the chances that 2 or...
Suppose the number of customers arriving at a store obeys a Poisson distribution with an average...
Suppose the number of customers arriving at a store obeys a Poisson distribution with an average of λ customers per unit time. That is, if Y is the number of customers arriving in an interval of length t, then Y∼Poisson(λt). Suppose that the store opens at time t=0. Let X be the arrival time of the first customer. Show that X∼Exponential(λ).
The number of emails arriving at a server per minute is claimed to follow a Poisson distribution.
  The number of emails arriving at a server per minute is claimed to follow a Poisson distribution. To test this claim, the number of emails arriving in 70 randomly chosen 1-minute intervals is recorded. The table below summarizes the result.           Number of emails 0 1 2 ≥ 3 Observed Frequency 13 22 23 12 Test the hypothesis that the number of emails per minute follows a Poisson distribution? Use a significance level of α...
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate...
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 70 per hour. Using the normal approximation to the Poisson, find the probability that the electric company receives at most 58 service calls per hour. Round your answer to four decimal places, if necessary.
The number of views of a page on a Web site follows a Poisson distribution with...
The number of views of a page on a Web site follows a Poisson distribution with a mean of 1.5 per minute. (i) What is the probability of no views in a minute? (ii) What is the probability of two or fewer views in 10 minutes? (iii) What is the probability of two or fewer views in 2 hours?
c) Patients arrived at hospital emergency department follows a Poisson distribution with a mean of 4...
c) Patients arrived at hospital emergency department follows a Poisson distribution with a mean of 4 patients per hour. i. In any 90 minutes period of time, find the probability that exactly 10 patients arrived. ii. Find the standard deviation of the number of patients arriving at the hospital.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT