ZuoTi.Pro
Question

Patient arrivals at a hospital emergency department follows a Poisson distribution and the waiting time for...

Patient arrivals at a hospital emergency department follows a Poisson distribution and the waiting time for service follows an exponential distribution with a mean of 2.75 hours. Determine the following: (a) Probability that the waiting time exceeds four hours (b) Value for waiting time (in hours) exceeded with probability 0.35.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
Patient arrivals at a hospital emergency department follows a Poisson distribution and the waiting time for...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes....

    The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...

  • The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds

    The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds (a) Sketch this exponential probability distribution(b) What is the probability that the arrival time between vehicles is 12 seconds or less? (Round your answer to four decimal places.) (c) What is the probability that the arrival time between vehicles is 6 seconds or less? (Round your answer to four decimal places.) (d) What is the probability of 32 or more seconds between...

  • The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...

    The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 11 seconds. (a) Sketch this exponential probability distribution. (b) What is the probability that the arrival time between vehicles is 11 seconds or less? (c) What is the probability that the arrival time between vehicles is 7 seconds or less? (d) What is the probability of 33 or more seconds between vehicle arrivals?

  • The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...

    The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. a) Write the probability density function and the cumulative probability distribution b) What is the probability that the arrival time between vehicles is 12 seconds or less? c) What is the probability that the arrival time between vehicles is 6 seconds or less? d) What is the probability of 30 or more seconds between vehicle arrivals?

  • During the COVID-19 pandemic, the hospital emergency department at a very busy hospital receives, on average,...

    During the COVID-19 pandemic, the hospital emergency department at a very busy hospital receives, on average, 23.6 patient per day. The standard deviation of inter-arrival time between two consecutive patients arriving is 6.9 minutes. What is the coefficient of variation for the inter-arrival times (times between two consecutive arrivals) for patients arriving (received at) at the hospital’s emergency department? Note that, the emergency service of this hospital is open 24/7, and one day is equivalent to 24 hours.

  • The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with...

    The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. Correct: Your answer is correct. (b) What is the probability that the arrival time between vehicles is 12 seconds or less? (Round your answer to four decimal places.) Correct: Your answer is correct. (c) What is the probability that the arrival time between vehicles is 6 seconds or less? (Round your answer to four decimal places.) Correct: Your answer...

  • SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per...

    SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 24 seconds. Assume the Poisson and exponential distributions. a. What is λ?   What is μ? b. Find average number of units in the system. c. Find average time in the waiting line. d. Find probability that there is one person waiting. e. Find probability an arrival will have to wait.

  • Number of patients that arrive in a hospital emergency center between 6 pm and 7 pm...

    Number of patients that arrive in a hospital emergency center between 6 pm and 7 pm is modeled by a Poisson distribution with λ=5. Determine the probability that the number of arrivals in this time period will be Exactly four ? At least two ? At most three? Please solve using R, and post the commands

  • ll patients who arrive to the Emergency Department (ED) of Cleanland Clinic first go to Registration...

    ll patients who arrive to the Emergency Department (ED) of Cleanland Clinic first go to Registration and then to Triage. Triage is staffed by two nurses: Gary and Elena. Triage is using a single line and patients are served on a first-come-first-serve basis. (a) Patients arrive at an average of one every 30 minutes, and their requests take on average 20 minutes to be processed at Triage. Assume Poisson arrivals and exponential service times. What is the average waiting time...

  • Reason arrivals poisson and time continuous - exp prob Mode 1 1. The time until the...

    Reason arrivals poisson and time continuous - exp prob Mode 1 1. The time until the next arrival at a gas station is modeled as an exponential random with mean 2 minutes. An arrival occurred 30 seconds ago. Find the probability that the next arrival occurs within the next 3 minutes. X= Time until next assival xu Expoential prob. Model Find: p(x-3) = P( ) e mean = 2 minutes = Arrival 30 sec ago = Next arrival w/in 3...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT