Due to urbanization government discovered that 90% of thepeople in cities stay in cities while 10% of them move to towns,and 30% of the people in towns move to cities every year.a) Describe the information in a TransitionDiagramb) Identify the Transitionmatrix.c) If in early 2020, there were 2,400,000 people in city A and320,000 in Town B, identify the population in City A andTown B in early 2022.

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Answered: Due to urbanization government…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Figures obtained from a city’s police department seem to indicate that, of all motor vehicles reported as stolen,64% were stolen by professionals, 36% were stolen by amateurs (primarily for joy rides). Of those stolen byprofessionals, 24% were recovered within 48 hr, 16% were recovered after 48 hr and 60% were never recovered.Of those vehicles presumed stolen by amateurs, 38% were recovered within 48 hr, 58% were recovered after 48 hrand 4% were never recovered. a) Draw a tree diagram representing the situation.b) What is the probability that a vehicle stolen by a professional in this city and will be recovered within 48 hr?c) What is the probability that a vehicle stolen in this city will never be recovered?
A management consulting firm has four types of professionals on its staff: Managing consultants, senior associates, field staff and office staff. Average rates charged to consulting clients for work of each of these professionals categories are k3150/hour, k1680/hour, k1260/hour and k630/hour, respectively. Office records indicate the following number of hours billed last year in each category: 8,000, 14,000, 24,000 and 35,000, respectively. If the firm is trying to come up with an average billing rate for estimating client charges for next year, what would you suggest they do and what do you think is the appropriate rate?
6. Suppose in small town there are three places to eat, one Chinese restaurant, one Mexican restaurant, and a pizza place. Everyone in town eats dinner in one of these places or has dinner at home. Assume that 20% of those who eat in Chinese restaurant go to Mexican, 20% eat at home, and 30% go to pizza place next time. From those who eat in Mexican restaurant, 10% go to pizza place, 25% go to Chinese restaurant, and 25% eats at home next time. From those who eat at pizza place 30% eat at home, 30% eat at Chinese and 10% eat at Mexican restaurant next time. Those who eat at home 20% go to Chinese, 25% go to Mexican place, and 30% to pizza place next time. (a) Construct the (one-step) transition matrix? (b) Does this Markov chain have steady-state?
You are given five different data points, p1, p2, p3, p4, p5. Use the similarity matrix in Figure 2 to perform complete link hierarchical clustering. a) For each of the four merging steps, show the updated proximity matrix of the clusters. b) Visualize the clustering solution using a dendrogram. The dendrogram should clearly show the order in which the points are merged, and the distances between the clusters merged. c) Which clusters are formed we need to have two clusters? Note: while the proximity table that is given to you has similarities, you can easily transform them into distances if you compute d = 1 - s. p1 p2 p3 p4 p5 p1 1.00 0.10 0.41 0.55 0.47 0.35 0.98 Figure 2: Proximity matrix (similarity) p2 0.10 H 1.00 0.64 p3 0.41 0.64 1.00 0.44 0.85 L p4 0.55 0.47 0.44 p5 0.35 0.98 0.85 0.76 1.00 1.00 0.76
Phoenix is a hub for a large airline. Suppose that on a particular day, 8,000 passengers arrived in Phoenix on this airline. Phoenix was the final destination for 1,600 of these passengers. The others were all connecting to flights to other cities. On this particular day, several inbound flights were late, and 410 connecting passengers missed their connecting flight and were delayed in Phoenix. Of the 410 who were delayed, 85 were delayed overnight and had to spend the night in Phoenix. Consider the chance experiment of choosing a passenger at random from these 8,000 passengers. Calculate the following probabilities. (Round your answers to three decimal places.) (a) Calculate the probability that the selected passenger had Phoenix as a final destination. (b) Calculate the probability that the selected passenger did not have Phoenix as a final destination. (c) Calculate the probability that the selected passenger was connecting and missed the connecting flight. (d) Calculate the…
A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 65% are brand A, 30% are brand B, and 5% are brand C. They have found that 15% of the brand A computers, 10% of the brand B computers, and 5% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer?Question content area bottomPart 1The probability that it is a brand A computer is enter your response here.(Type a decimal. Round to three decimal places if needed.)Part 2The probability that it is a brand B computer is enter your response here. (Type a decimal. Round to three decimal places if needed.)Part 3The probability that it is a brand C computer is enter your response here.(Type a decimal. Round to three decimal places if needed.)
A company wanted to test whether an employee could detect the presence of an alarm in a certain environment. There are 30 trails, divided evenly with presence and absence of the alarm. The employee indicated the presence of the alarm 16 times, but he was only correct 13 times. a) Create a decision/response matrix that reflects all the participant responses. b) Compute the (i) hit, (ii) false alarm, (iii) correct rejection, and (iv) miss rates. c) Another employee also took part in the test, he had a hit rate of 0.82 and a false alarm rate of 0.15. Compare these two employees in terms of the d' and ß.
An instructor has awarded 20% of the course grade to assigments, 10%to activities, 15% to exam-1, 15% to exam-2, 15% to exam-3 and 25%to the final exam. If a student scores 110 points from a total of 120total assignment points, 70 from a total of 90 activity points, 92% onexam-1, 88% on exam-2, 91% on exam-3 and expects to score 85% onthe final. What will be the student’s percentage score in the course onwhich the grade will be based?
The Alianz Arena is a football stadium in Munich home to Bayern Munich a German football club. The club have identified 12 potential camera locations within the stadium. They have also identified 25 stadium areas which may require camera coverage during the pre-game, game and post-game activities. The following table indicates each camera location and the stadium areas the camera can cover: Camera Location 1 2 3 4 5 6 7 8 9 10 11 12 Stadium Areas 1,3,4,6,7 8,4,7,12 2,5,9,11,13 1,2,18,19,21 3,6,10,12,14 8,14,15,16,17 18,21,24,25 2,10,16,23 1,6,11 20,22,24,25 2,4,6,8 1,6,12,17 Bayern Munich executives are concerned about the costs for the production. Consequently, they have set an objective of minimizing the number of camera locations. In seeking this objective they want at least one camera to be available to cover each stadium area. Camera location 9 is the "blimp," and executives have decided that the blimp will be used because of viewer expectation and fascination with the shots from…
Business sensor technology provides a way for companies to learn about their customers, employees, and operations. A survey of global business and IT executives found that 26% of automotive executives; 27% of energy, utilities, and mining executives; 31% of hospitality and leisure executives; 31% of industrial products executives; and 51% of retail and consumer executives say their companies are currently investing in business sensor technology. Suppose these results were based on 400 business and IT executives in each of the five industries: Automotive; Energy, Utilities, and Mining; Hospitality and Leisure; Industrial Products; and Retail and Consumer. Complete parts (a) through (c). a. At the 0.05 level of significance, is there evidence of a difference among the industries with respect to the proportion of executives that say their companies are currently investing in business sensor technology? State the null and alternative hypotheses. A. Ho ₁₂ ====0 H₁: At least one of the лj is…
A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 60% are brand A, 25% are brand B, and 15% are brand C. They have found that 20% of the brand A computers, 15% of the brand B computers, and 10% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand B computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)
↑ The 1990 census reported that 32% of the households in Middletown were homeowners and the remainder were renters. During the next decade, 10% of the homeowners became rent and the rest continued to be homeowners. Similarly, 14% of the renters became homeowners and the rest continued to rent (A) Fill in the appropriate transition matrix for this process. Homeowners Homeowners Renters Renters AR NE

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