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WW34: Problem 8 Previous Problem Problem List Next Problem (1 point) Redo exercise 25 in section 8.1 of your textbook, about the nervous basketball player, using the following data: If she made the last free throw, then her probability of making the next one is 0.8. On the other hand, If she missed the last free throw, then her probability of making the next one is 0.2. Assume that state 1 is Makes the Free Throw and that state 2 is Misses the Free Throw. (1) Find the transition matrix for this Markov process. P Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructorPrevious Problem Problem List Next Problem (1 point) Profits at a securities firm are determined by the volume of securities sold, and this volume fluctuates from week to week. If volume is high this week, then next week it will be high with a probability of 0.8 and low with a probability of 0.2. If volume is low this week then it will be high next week with a probability of 0.1. 1. Find the transition matrix for the Markov chain, with high volume being state 1 and low volume state 2. 2. If the volume was low last week, what is the probability the volume will be low this week? 3. If the volume was high this week, what is the probability it will be low three weeks from now? 4. If the volume was high this week, what is the probability it will be alternate between low and high for the next three weeks (i.e. High - Low - High - Low.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.WW35: Problem 4 Previous Problem Problem List Next Problem (1 point) Suppose that a basketball player's success in free-throw shooting can be described with a Markov chain. If the player made the last free throw, then she is four times more likely to make the next free throw as miss it. If the player missed her last free throw, then she is equally likely to make or miss the next free throw. 1. Find the transition matrix for the Markov chain. 2. If she made her last free throw, what is the probability she makes the next two in a row, for a total of three in a row? 3. If the she makes he third free throw, what is the probability she makes her fifth free throw? 4. If she misses her first free throw, what is the probability she also misses her third and fifth free throw? Note: You can earn partial credit on this problem. Preview My Answers Submit Answersroblem . Previous Problem Problem List Next Problem (1 point) At any given time, a subatomic particle can be in one of two states, and it moves randomly from one state to another when it is excited. If it is in state 1 on one observation, then it is 2 times as likely to be in state 1 as state 2 on the next observation. Likewise, if it is in the state 2 on one observation, then it is 2 as likely to be in the state 2 as state 1 on the next observation. 1. Find the transition matrix for this Markov chain. 2. If the particle is in state 1 on the first observation, what is the probability it is in state 1 on the fourth observation? 3. If the particle is in state 2 currently, what is the probability that it will be in state 2 then state 1 then state 1 then state.2 on the next four observations? 4. If the particle is in state 1 on the fourth observation, what is the probability that it will be in state 2 on the sixth observation and state 1 on the seventh observation? Note: You can earn partial credit on this problem. Preview My Answers Submit Answers(1 point) Redo exercise 19 in section 8.1 of your textbook, about the three types of employment in a small town, using the following data: Employment Employment Last Year This Year Percentage Industry Industry 50 Small Business 40 Self-Employed 10 Small Business Industry 30 Small Business 60 Self-Employed 10 Self-Employed Industry 10 Small Business 60 Self-Employed 30 Assume that state 1 is Industry, that state 2 is Small Business, and that state 3 is Self-Employed. Find the transition matrix for this Markov process. P = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.Previous Problem Problem List Next Problem (1 point) Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 50% of the time, move to the suburbs 50% of the time, and move out-of-state 0% of the time. If a person is living in the suburbs, they will move into the city 50% of the time, stay in the suburbs 30% of the time, and move out-of-state 20% of the time. If the person lives out- of-state, they will move to the city 10% of the time, move to the suburbs 80% of the time, and stay out-of state 10% of the time. Answer the following questions: 1. Find the transition matrix for these shifts. 2. Find the probability that an individual who is living in the city currently is living in the city two years from now. 3. What is the probability a person living in the city will remain in the city for three subsequent years? 4. What is the probability that a person living out-of-state will be either living in the city or living in the suburbs two years from now? Note: You can earn partial credit on this problem.WW34: Problem 6 Previous Problem Problem List Next Problem (1 point) Redo exercise 22 in section 8.1 of your textbook, about the not-so-enthusiastic student, using the following data: If the student attends class on a certain Friday, then he is three times as likely to be absent the next Friday as to attend. If the student is absent on a certain Friday, then he is twice as likely to attend class the next Friday as to be absent again. Assume that state 1 is Attends Class and that state 2 is Absent from Class. Find the transition matrix for this Markov process. P = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructort Homework... Cadential Mate... 1 Point) (Note:... Desmos | Grap... 543bed76-bcc... library ivy tech... people in asian.. Grammarly: Fre.. (1 point) Suppose a two state experiment has the following transition matrix: P = 0.8 0.2 0.6 0.4 Answer the following questions: 1. Find P(2) 16 .4 12 8 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations? 4. Find P(4 ) . 5. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 6. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?(1 point) Suppose a two-state experiment has the following transition matrix: P- lo's osl Answer the following questions: 1. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the second observation? 2. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the fourth observation? 3. If the experiment is in state 2 on the third observation, what is the probability that it will be in state 2 on the seventh observation? 4. If the experiment is in state 1 on the third observation, what is the probability it will be in state 1 on the fourth, fifth, and sixth observation? Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructorWW34: Problem 7 Previous Problem Problem List Next Problem (1 point) Redo exercise 23 in section 8.1 of your textbook, about the student who eats in a Chinese, Greek, or Italian restaurant every Sunday night, using the following data: This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is five times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is three times as likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is twice as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process. P = Preview My Answers Submit Answers You have attempted this problem 0 times
