4. The reservation office for Central Airlines has two agents answering incoming phone calls forflight reservations. In addition, one caller can be put on hold until one of the agents is availableto take the call. If all three phone lines (both agent lines and the hold line) are busy, a potentialcustomer gets a busy signal, in which case the call may go to another airline. The calls andattempted calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 perhour. The length of a telephone conversation has an exponential distribution with a mean of 4minutes.(a) Construct the rate diagram for this queueing system.(b) Use the balance equations to find the steady-state probability that(i)A caller will get to talk to an agent immediately,(ii)The caller will be put on hold, andThe caller will get a busy signal.(c) Find L, W, Lq, Wq.

From the given information we have, the number of serves in the system is s=2 agents answering…

Answered: 4. The reservation office for Central…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. Suppose a senior is choosing classes and must select from a set of equal value classes needed for graduation There are 15 classes, all offered at different times. The student must take 5 classes to graduate. a. How many possible course schedules can the student choose? b. Suppose another student in the same major also chooses a schedule from the same 15 courses, also 5 courses, and chooses them independently of the first student (say each class is equally likely to be chosen). What is the probability that the two students choose the exact same schedule?
A TA in statistics thinks that the format of the conferences and the timing of the assignments may affect students' assignment marks (out of 10). He decided to design three conferences with a different format: (1) with lecturing, (2) with demonstrating problems, and (3) with involving students in active problem-solving. Twelve students attended one of the conferences (four in each format) and asked to submit their assignments at week 3. Another twelve students attended one of the conferences but asked to submit their assignments at week 5. The data are tabled below: Assignment Week 3 Week 5 Lecture 6,7,5,7 5,5,4,5 Format Demo problems 7,8,8,9 6,7,7,6 Active problems 9,10,10,10 8,9,9,10 Note: ΣΣΣx=1385 Perform the ANOVA test and table the results, stating all critical values. State and explain what should be the follow-up analysis after the overall F-test if any (NO calculation but just explain).
6) A small business owner you follow on TikTok is SO EXCITED because last month, she was able to begin selling her product in a popular chain store around the nation. Her contract with the chain store says that at any time, there will be at least 20 of her products sitting out on the shelves. She wants to conduct a survey to see if that is true. She visits 5 of the local chain stores around her and records the number of products of hers that are on the shelves. She will then construct a 95% confidence interval to determine the mean number of products on the shelves for all of the stores. (a) Discuss whether this study meets the each of the conditions for constructing a confidence interval. If one of the conditions has not been met, what additional information would be required or what change in the study would you recommend? (b) If, instead of constructing a 95% confidence interval, the business owner constructed a 98% confidence interval, would the 98% interval be wider, narrower, or…
A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table. The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…
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To study the security protocols at a major airport, ten passengers were randomly selected from each flight leaving the airport on a particular day and questioned about the security efforts they experienced while at the airport. This is an example of
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Each person in a sample of 99 subjects was asked to imagine that they had just moved to an apartment with two others and that they were shopping for a new appliance. Each subject was asked to create a menu of three brand choices for their roommates; then they were randomly assigned (in equal numbers) to one of three different "goal" conditions-(1) influence roommates to buy a preselected brand, (2) influence roomates to buy a brand of your choice, and (3) no intent to influence roomates. The researcher theorized that the menus created to influence others will likely include indesirable alternative brands. The number of menus in each goal condition that was consistent with the theory was determined. The data are summarized in the accompanying table. Analyze the data in order to determine whether the proportion of subjects who select menus consistent with the theory depends on goal condition. Use a = 0.05. Click the icon to view the data. Specify the null and alternative hypotheses. Data…
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