4. Suppose that the following data were obtained from the records of a certain two yearcollege: Of those who were freshman (F) during a particular year, 80% become sopho-mores (S) during the next year and 20% dropped out. Of those who were sophomoresduring a particular year 90% graduated (G) by the next year and 10% dropped out.(a) Create a transition diagram that describes this scenario.(b) Create a transition matrix that describes this scenario. Is this scenario ergodic orabsorbing? Explain.(c) Suppose that this year, there are an equal percentage of freshmen and sophomores.Use matrix multiplication to determine what percentage will have graduated in 5years? What percentage will have dropped out?(d) Rewrite the matrix in standard form.(e) Find N, R and B.(f) Determine the probability that a student who begins as a freshman will drop out.(g) Determine the probability that a student who has made it to sophomore year willdrop out.(h) Determine the probability that a student who begins as a freshman will graduate.(i) Determine the probability that a student who has made it to sophomore year willgraduate.

"Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Answered: 4. Suppose that the following data were…

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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The following table gives the annual revenue for two different companies (in billions of dollars) for a 10-year period. What is the five-number summary for Company A? Year 2007 2008 2009 2010 2011 99 57 2012 2013 2014 2015 2016 D Company A 96 100 102 106 100 96 98 85 82 Company B 53 62 70 72 77 70 90 92 83 ...... What is the five-number summary for company A? Q, =0 Q2 =0 Q3 =D Max = Min = %3D %3D (Type integers or decimals.)
1. Given below are information from a sample of single-pet owners (out of a total of 120 single-pet owners) in an exclusive housing complex. Sex of Age of Pet Sex of Age of Pet Pet Pet Pet Pet pet Owner Pet Owner Owner Owned Owner Owned Owner (in years) Owner (in years) 1 M 16 Dog 14 M 28 Others 2 F 16 Cat 15 F 42 Dog 3 M 24 Dog 16 F 17 Cat 4 F 16 Others 17 M 23 Others F 16 Cat 18 M 55 Dog 6 M 17 Others 19 M 18 Cat 7 M 30 Cat 20 F 40 Dog 8 55 Dog 21 M 16 Others 9 M 18 Others 22 F 38 Dog 10 F 25 Cat 23 61 Cat 11 F 17 Dog 24 M 34 Cat 12 M 20 Dog 25 F 62 Dog 13 21 Cat Show your complete solution to each problem. b. The sample is only 1 out of how many samples that can be generated from the population?
3
Is there a relation between murder and arson? A random sample of 15 Midwest cities (over 10,000 population) gave the following information about an annual number of murder and arson cases. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Murder 13 11 24 15 14 10 19 20 22 16 18 6 21 8 17 Arson 96 47 92 72 38 36 162 80 111 85 84 37 146 4 51 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of murder and arson. (a) Rank-order murder using 1 as the largest data value. Also, rank-order arson using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. City MurderRank x ArsonRank y d = x - y d2 123456789101112131415 Σd2 = please show formula or steps explain your answer
In a survey, it was found that 72%of the population of a certain urban area lived in single-family dwellings and 28% in multiple housing. One year later, of those who had been living in single-family dwellings, 89%still did so, but 11% had moved to multiple-family dwellings. Of those in multiple housing, 94%were still living in that type of housing, while 6%had moved to single-family housing. Assume that these trends continue. (a) Write a transition matrix using this information. Set it up so that the first row and first column represent single-family dwellings and the second row and second column represent multiple housing.
The following table presents the orders of Samson Company for the last 36 months (3 years). Month Order Year 1 Order Year 2 Order Year 3 January 450 600 612 February 418 575 668 March 490 580 680 April 451 534 653 May 466 555 674 June 511 604 702 July 522 624 724 August 500 612 716 September 502 633 712 October 523 634 724 November 533 643 735 December 534 676 755 Use the data in the above table and regression analysis to forecast the orders for the next 12 months (4th year). Include your excel work sheet and your work in your write up. Show the regression equation, values of intercept, slope, correlation coefficient and coefficient determination and the forecast of orders for the next 12 months. Explain how you could make your forecast’s results more reliable by incorporating a qualitative research to your quantitative results.
stüdentS (3) The population is classified by their economic status: poor, middle-class and rich. Every year, people moving up and down the economic ladder according to From: To: рoor middle-class rich 0.9 0.05 0.05 рor middle-class 0.1 0.8 0.1 rich 0.02 0.02 0.96 In year 2011, a 100-family town is made up of 30 poor, 40 middle-class and 30 rich families, a. what will be the makeup of this town in year 2012? b. what will be the makeup of this town in year 2015? c. what was the makeup of this town in year 2010?
1. Given below are information from a sample of single-pet owners (out of a total of 120 single-pet owners) in an exclusive housing complex. Age of Pet Owner Sex of Age of Pet Sex of Pet Pet Pet Pet Pet Owner Pet Owner Owned Owner Owned Owner (in years) Owner (in years) M 16 Dog 14 M 28 Others 2 F 16 Cat 15 F 42 Dog 3 M 24 Dog 16 F 17 Cat 4 F 16 Others 17 M 23 Others F 16 Cat 18 M 55 Dog M 17 Others 19 M 18 Cat M 30 Cat 20 F 40 Dog 8 55 Dog 21 M 16 Others 9 M 18 Others 22 F 38 Dog 10 F 25 Cat 23 F 61 Cat 11 17 Dog 24 M 34 Cat 12 M 20 Dog 25 F 62 Dog 13 21 Cat Show your complete solution to each problem. g. Compute the measures of variation of the ages of the pet owners.
1. Given below are information from a sample of single-pet owners (out of a total of 120 single-pet owners) in an exclusive housing complex. Sex of Age of Pet Sex of Age of Pet Pet Pet Pet Pet Pet Owner Pet Owner Owner Owned Owner Owned Owner (in years) Owner (in years) M 16 Dog 14 M 28 Others F 16 Cat 15 F 42 Dog 3 M 24 Dog 16 F 17 Cat 4 F 16 Others 17 M 23 Others F 16 Cat 18 M 55 Dog 6 M 17 Others 19 M 18 Cat 7 M 30 Cat 20 40 Dog 8 F 55 Dog 21 M 16 Others 9 18 Others 22 F 38 Dog 10 25 Cat 23 F 61 Cat 11 17 Dog 24 M 34 Cat 12 20 Dog 25 F 62 Dog 13 21 Cat Show your complete solution to each problem. e. Use graphs/charts to present the data gathered (one graph/chart for each variable).
The following table gives the annual revenue for two different companies (in billions of dollars) for a 10-year period. What is the five-number summary for Company A? Year 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 D Company A 97 97 60 105 87 100 70 101 109 95 96 84 Company B 45 65 66 70 73 82 93 83 ..... What is the five-number summary for company A? Q, =O Q2 =0 Q3 =D Max = Min = %3D (Type integers or decimals.)
3. The following table summarizes drink sales at a store over the course of two seasons. Milkshake Coffee Total Summer 48 65 113 Winter 21 53 74 Total 69 118 187 From this data, does the choice of drink appear to be dependent or indenendent of season?

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