Suppose a math professor collects data on the probability that students attending a given classmeeting will attend the next one. He finds that 95% of students who attended a given class meetingwill attend the following class meeting and that 25% of students who do not attend attend a givenclass meeting will not attend the next one. Build a discrete dynamical system model using linearalgebra. Be sure to state your transition matrix explicitly. What percentage of students does yourmodel predict will be attending class meetings by the end of the semester (in the long run)?

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Answered: Suppose a math professor collects data…

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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Linear Algebra Now use the Massey Method with a 10 max point differential for the following system:During the Early Part of the Season: Team B beats C by 8 points. Team D beats E by 5 points.During the Middle Part of the Season: Team A beats D by 10 points. Team E beats C by 5 points.During the Later Part of the Season: Team A beats E by 4. Team E beats B by 20 points. a. Draw a directed graph of this season. b. Write the system of equations for this season using the Massey method. c. Solve the system (using least squares) to find the ratings for each team, and use those ratings to rank them
Please solve
Please find the transition matrix for this Markov process
A car rental company has two locations. Each week, 80% of the cars rented at location A are returned to location A and the rest location B. Of the cars rented at location B, 30% are returned to location B by the end of the week and the rest to location A. a. Make a transition diagram for this process. b. Write the transition matrix T for this process. cIf 50% of the company's cars start this week at location A, and 50% at location B, find the proportion of cars that will be at each location one week later Label your answers. d. Write and solve a system of equations to find the stable distribution (correct to 3 decimal places) for this Markov process. Show all calculations and label the row operations.
During registration at Tech every quarter, students in theDepartment of Management must have their coursesapproved by the departmental advisor. It takes the advisoran average of five minutes (exponentially distributed) toapprove each schedule, and students arrive at the adviser’s office at the rate of 10 per hour (Poisson distributed). Com-pute L, Lq, W, Wq, and . What do you think about this system? How would you change it?
In an office complex of 1000 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 85% chance that she will be at work tomorrow, and if the employee is absent today, there is a 70% chance that she will be absent tomorrow. Suppose that today there are 740 employees at work. (A graphing calculator is recommended.) (a) Find the transition matrix A for this scenario. at work absent A = (b) Predict the number that will be at work five days from now. (Round your answer to the nearest integer.) employees (c) Find the steady-state vector x. (Round your answer to two decimal places.)
A market demand has 3 possible states namely GOOD, NORMAL and BAD for each period. At each period there are 2 possible decisions for the manager as do nothing/ make promotion. The transition matrix of states regarding for possible decisions are given as below Pof do nothing GOOD NORMAL BAD GOOD 0.4 0.2 04 0.3 0.2 0.5 NORMAL 0.5 BAD 0.1 0.4 Pof make promotion GOOD NORMAL BAD 0.4 0.4 0.5 GOOD 0.2 NORMAL 04 0.1 BAD 0.3 0.4 0.3 It is known that the income for each period when the state in GOOD, NORMAL and BAD are 10000, 7000, 2000. Cost for do nothing is 0, and make promotion is 3000. a) Given at period 0 the state is NORMAL, estimate expected beneft obtain two periods when the sequence of decisions is do nothing, do nothing b) Given at period 0 the state is NORMAL, estimate expected beneft obtain two periods when the sequence of decisions is make promotion, make promotion
Given data points (2,-1), (2, 1), (3,2), (0,-1), and (3,-1), compute the sample covariance matrix. Record the entries of covariance matrix row by row as decimal numbers, separated by commas.
Answer well
In any given day the air quality in a certain city is either good or bad. Records show that when the air quality is good on one day, then there is a 95% chance that it will be good the next day, and when the air quality is bad on one day, then there is 45% chance it will be bad the next day. a. Give the transition matrix. b. if the air quality is good today, what is the probability it will be good two days from now? c. if the air quality is bad today, what is the probability it will be bad three days from now? d. if the there is 20% chance the air quality is good today, what is the probability it will be good tomorrow?
.1 Certify X gin in a new win... ing.com/Portal/Lesson/lesson_certify Week 8 - FIN-341- Question 1 of 11, Step 1 of 1 Answer X Week 1- BIO-165-5... - Save & Exit Certify Lesson: 6.1 Solving Systems of Linear E... Ⓒ2022 Hawkes Learning X My Citation list 6/2 x W C My books Doxy Leona Doxy Kelsey Selecting an option will display any text boxes needed to complete your answer. How can derivative X 0/11 Correct Use any convenient method to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. = -1 x + 2y y-32= 131 -4x - 6y + 6z = 30 Consumers and Th X 4 Digital Content | Up... O Only One Solution O Inconsistent System O Dependent System b Success Confirmat Textbook Solutions REBECCA BOONE Tables Keypad Keyboard Shortcuts Submit Answer

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