Consider a queueing system with two types of customers. Type 1 customers arrive according to aPoisson process with a mean rate of 7 per hour. Type 2 customers also arrive according to a Poissonprocess with a mean rate of 5 per hour. The system has two servers, both of which serve both typesof customers. For both types, service times have an exponential distribution with a mean of 12minutes. Service is provided on a first-come-first-served basis.a) What is the probability distribution (including its mean) of the time between consecutive arrival ofcustomers of any type?b) When a particular type 2 customer arrives, he finds two type 1 customers there in the process ofbeing served but no other customers in the system. What is the probability distribution (including itsmean) of this type 2 customer's waiting time in the queue?

In queuing theory, the arrival of customers is distributed as Poisson. And the service time provided…

Answered: Consider a queueing system with two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A marketing organization wishes to study the effects of four sales methods (Method 1, 2, 3, & 4) on weekly sales of a product. The organization employs three salesmen (A, B, & C) to use each sales method. The weekly sales made by each salesman using four different methods are shown in the table below. Sales Method/S A B C 1 32 29 30 2 32 30 28 3 28 25 23 4 25 24 23 Run the ANOVA at 0.05 level of significance based on the provided data. Copy the Excel output below. Based on the output, test the null hypothesis H0that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Can we conclude that the different sales methods have different effects on mean weekly sales?
3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. e) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of observations are more than 18.2? (Hint: use Empirical rule) 2.5% 32% 16% 5%
A) Classify the following data as either qualitative data or quantitative data. In addition, classify the quantitative data as discrete or continuous. The number of times that a movement authority is sent to a train from a relay station is recorded for several trains Over a three-week period. The movement authority, which is an electronic transmission, is sent repeatedly until a return signal is received from the train. 1. 2. A physician records the follow-up condition of patients with optic neuritis as improved, unchanged, or worse. The individuals in a sociological study are classified into one of five income classes as follows: low, low to middle Middle, middle to upper, or upper. 3.
Q.5: Mr. Hamood, a research scholar of Business Department in HCT, would like to find out the association between the mid-term marks, quiz marks, assignment marks and end semester marks with the Total Marks/GP obtained by the students in the final exam. He has decided t collect the data from the college students studying in the Sultanate of Oman. He came to know that there are more than 138,000 students studying in all the different colleges in Oman and realized that it is not possible to collect the data from all the students considering the time to complete the study. a) How will you decide the sample size? Discuss with reasons b) Find out the dependent variable and independent variables e) Who are the respondents? d) How will you collect the data? Discuss the instrument and process e) Inferential statistics is applicable. Discuss analytically
Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the last five years, sales of the company's flagship product - the Wizer Anonymizer (the WA) - have been 45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so. Ms. Jacobsen believes that the distribution of the WA's sales is normal with a standard deviation of 1500 units. If she were asked to make a forecast of next year's sales to upper management, what is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
1. A hospital keeps a record of the number of males and females in different age groups who contract a particular disease. The data are summarized as follows: Age Groups: 10-25 26-40 41-55 56 + Male: 23, 34, 20, 64 Female: 31, 29, 55, 44 a) Are gender and age of contracting the disease independent of one another (a < .05)? b) A researcher believes that people in the 41-55 age group are three times as likely to develop the disease as are those in each of the two younger age groups, while those in the 56 + age group are only twice as likely (relative to those in the two youngest groups). The two youngest age groups are not expected to differ from each other. Do the data support these beliefs (a < .01)? c) It is also believed that, relative to males, the proportion of females in the 56 + age group that develops the disease is significantly different from the proportion of females in the 10-25 age group that develops the disease. Test this belief with a 5.05. Answers 1. a) x2 =…
Answer the following question.
A particular cookie company has a double-feature box of cookies. These boxes come with two types of cookies; oatmeal raisin and chocolate-chip. However, the proportion of cookies of each type varies. A data analyst working for the company wonders if there is a tendency for the boxes to have more of one type of cookie than the other. In order to investigate, he selects 72 boxes of the double-feature oatmeal raisin/choc-chip cookies and counts the number of each type of cookie. He finds out that, in his sample of 72 boxes, the proportion of chocolate chip cookies is 0.22. What is the standard deviation of the sampling proportion for the proportion of chocolate chip cookies? Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2-If standard deviation cannot be calculated, standard error is created in its place. Your Answer: Answer
4
3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. c) Count the number of measurements that actually fall within the interval(-28, +2s) and express the interval count as a percentage of total number of measurements. at least 75% 100% 68% 95%
4. Find if A and B are independent, positively associated or negatively associaied from the data given below : (A) = 470, , (B) = 620 , (ĂB) = 320, N= 1000 beouben

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