Question 4. Many students in MTH203 will come to Annie's office hours in the coming Wednesday afternoon, say, 8 per hour (one by one), following Poisson distribution. Assume that on average, each student stays for 5 minutes, exponentially distributed. (1) Suppose for the coming Wednesday you do have a few questions but only available for at most 30 minutes during the entire office hour period, will you go then? (2) If she prefers to talk to students most of the time rather than being bored alone, Annie should be more patient and spend more time with each visit. So how long she should be with each visit (on average) in order to be busy at least 80% of the time? (3) Noticing that all the three lecturers of MTH203 actually hold office hours at the same time, list necessary assumptions and compute the average queue length in this case. (You are allowed to use online calculators but again, please attach snapshots.)

Question 4. Many students in MTH203 will come to Annie's office hours in the coming Wednesday afternoon, say, 8 per hour (one by one), following Poisson distribution. Assume that on average, each student stays for 5 minutes, exponentially distributed. (1) Suppose for the coming Wednesday you do have a few questions but only available for at most 30 minutes during the entire office hour period, will you go then? (2) If she prefers to talk to students most of the time rather than being bored alone, Annie should be more patient and spend more time with each visit. So how long she should be with each visit (on average) in order to be busy at least 80% of the time? (3) Noticing that all the three lecturers of MTH203 actually hold office hours at the same time, list necessary assumptions and compute the average queue length in this case. (You are allowed to use online calculators but again, please attach snapshots.)

Name: Question 4. Many students in MTH203 will come to Annie's office hours
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Question 4. Many students in MTH203 will come to Annie's office hours in thecoming Wednesday afternoon, say, 8 per hour (one by one), following Poissondistribution. Assume that on average, each student stays for 5 minutes, exponentiallydistributed.(

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Determine if the following scenarios follow a Poisson distribution or do not follow a Poisson Distribution. • You work in a shoe shop and you want to find the distribution of the total number of people who come into the store in a day. You also observe that there are usually more people who come into the shop over lunchtime (10-2 pm) and more people who come into the store after they finish work (5 pm-6 pm). Let X be the number of people who come into the shoe shop on a given day. No - not Poisson • You love peanut butter and want to know how many people buy peanut butter from Trader Joe's. One summer you have nothing to do so you go and stand in Trader Joe's every day and count how many people buy peanut butter in a given week. You assume that consumers do not impact each other's decisions. Let Y be the number of people who buy peanut butter in a given week. Yes - Poisson You want to know how many people in a group of 100 take painkillers if they have a headache. You think that the…
A hot dog concession at Safeco Field sells an average of 54.67 hot dogs per hour (believed to follow a Poisson Distribution). How many hot dogs should the vendor stock in order to be 93% sure it has enough hot dogs for 1.5 hour(s)? F−1(0.93)=
realllly reallyy need
Please solve very soon completely
For several years researchers have noticed that there appears to be a regular, year-by-year increase in the average IQ for the general population. This phenom- enon is called the Flynn effect after the researcher 00) and it
Top Cutz International Barbershop is a popular haircutting and styling salon . Four barbers work full-time and spend an average of 15 minutes on each customer. Customers arrive all day long at an average rate of 12 per hour. When they enter, they take a number to wait for the first available barber. Arrivals tend to follow the Poisson distribution, and service times are exponentially distributed. REQUIRED (c) What is the average time spent in the shop?
(c) Does this Poisson distribution provide a good model for the number of accidents in this example (as per Table 1)? Explain why or why not. Use R to produce a graph to help support your answer (produce the R as part of your answer). (d) Use the model in (b) to estimate the probability that less than 2 accidents were recorded in any randomly chosen week. How does this compare to the actual data?
This cumulative review problem uses material from Chapters 3, 5, and 10. Recall that the Poisson distribution deals with rare events. Death from the kick of a horse is a rare event, even in the Prussian army. The following data are a classic example of a Poisson application to rare events. The data represent the number of deaths from the kick of a horse per army corps per year for 10 Prussian army corps over a period of time. Let x represent the number of deaths and f the frequency of x deaths. x 0 1 2 3 or more f 111 61 24 4 (a) First, we fit the data to a Poisson distribution.The Poission distribution states P(x) = e−λλx x! , where λ ≈ x (sample mean of x values). From our study of weighted averages, we get the following. x = Σxf Σf Verify that x = 0.605. Hint: For the category 3 or more, use 3. x = (b) Now we have P(x) = e−0.605(0.605)x x! for x = 0, 1, 2, 3 . Find P(0), P(1), P(2), and P(3 ≤ x). Round to three places…
Part IV: Sections 5.5-5.7 17. Suppose that the number of defects in a randomly selected one carat diamond of a certain type follows a Poisson distribution with X= 3. By the Central Limit Theorem, what is the approximate (a) distribution of the mean number of defects in the random sample of 40 one carat diamonds? You should give a name for the distribution, as well two associated numerical quantities. (b) the random sample of 40 one carat diamonds, the probability that the sample mean number of defects is less than y is less than 98%. Estimate the largest number of defects y such that in
Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.
Steve Burns, host of the first season of Blue' clues recently bids goodbye to the show. Assuming that in his first season of hosting he can actually find an average of 15 clues that when blue leaves paw prints on the objects around her house per week. If the clues he finds follows Poisson distribution, what is the probability that there will be 5, 10 or 15 clues during the next week?