EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 9781305464858
Author: MOWRY
Publisher: CENGAGE LEARNING - CONSIGNMENT
expand_more
expand_more
format_list_bulleted
Question
Chapter 11.2, Problem 13E
To determine
The reason if tossing a coin ten times represent a Markov chain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A factory worker will quit with probability 1⁄2 during her first month, with probability 1⁄4 during her second month and with probability 1/8 each month after that. Whenever someone quits, their replacement will start at the beginning of the next month and follow the same pattern. Model this position’s status as a Markov chain. What is the long-run probability of having a new employee on a given month?
please provide steps and explanations for answers
Draw the state diagram for the Markov Model and show the transition probabilities on the diagram.
please see image for question.
Chapter 11 Solutions
EBK MATHEMATICS: A PRACTICAL ODYSSEY
Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...Ch. 11.0A - Prob. 2ECh. 11.0A - Prob. 3ECh. 11.0A - Prob. 4ECh. 11.0A - Prob. 5ECh. 11.0A - Prob. 6ECh. 11.0A - Prob. 7ECh. 11.0A - Prob. 8ECh. 11.0A - Prob. 9ECh. 11.0A - In Exercises 1-10, a find the dimensions of the...
Ch. 11.0A - Prob. 11ECh. 11.0A - Prob. 12ECh. 11.0A - Prob. 13ECh. 11.0A - Prob. 14ECh. 11.0A - Prob. 15ECh. 11.0A - Prob. 16ECh. 11.0A - Prob. 17ECh. 11.0A - Prob. 18ECh. 11.0A - Prob. 19ECh. 11.0A - Prob. 20ECh. 11.0A - Prob. 21ECh. 11.0A - Prob. 22ECh. 11.0A - Prob. 23ECh. 11.0A - Prob. 24ECh. 11.0A - Prob. 25ECh. 11.0A - Prob. 26ECh. 11.0A - Prob. 27ECh. 11.0A - Prob. 28ECh. 11.0A - Prob. 29ECh. 11.0A - Prob. 30ECh. 11.0A - Prob. 31ECh. 11.0A - Prob. 32ECh. 11.0A - Prob. 33ECh. 11.0A - Prob. 34ECh. 11.0A - Prob. 35ECh. 11.0A - Prob. 36ECh. 11.0A - Prob. 37ECh. 11.0A - Prob. 38ECh. 11.0A - Prob. 39ECh. 11.0A - Prob. 40ECh. 11.0A - Prob. 41ECh. 11.0A - Prob. 42ECh. 11.0A - Prob. 43ECh. 11.0A - Prob. 44ECh. 11.0A - Prob. 45ECh. 11.0A - Prob. 46ECh. 11.0A - Prob. 47ECh. 11.0A - Prob. 48ECh. 11.0A - Prob. 49ECh. 11.0A - Prob. 50ECh. 11.0A - Prob. 51ECh. 11.0A - Prob. 52ECh. 11.0A - Prob. 53ECh. 11.0A - Prob. 54ECh. 11.0A - Prob. 55ECh. 11.0A - Prob. 56ECh. 11.0A - Prob. 57ECh. 11.0A - Prob. 58ECh. 11.0A - Prob. 59ECh. 11.0A - Prob. 60ECh. 11.0A - Prob. 61ECh. 11.0A - Prob. 62ECh. 11.0B - Prob. 1ECh. 11.0B - Prob. 2ECh. 11.0B - Prob. 3ECh. 11.0B - Prob. 4ECh. 11.0B - Prob. 5ECh. 11.0B - Prob. 6ECh. 11.0B - Prob. 7ECh. 11.0B - Prob. 8ECh. 11.0B - Prob. 9ECh. 11.0B - Prob. 10ECh. 11.0B - Prob. 11ECh. 11.0B - Prob. 12ECh. 11.0B - Prob. 13ECh. 11.0B - Prob. 14ECh. 11.0B - Prob. 15ECh. 11.0B - Prob. 16ECh. 11.0B - Prob. 17ECh. 11.0B - Prob. 18ECh. 11.0B - Prob. 19ECh. 11.0B - Prob. 20ECh. 11.0B - Prob. 21ECh. 11.0B - Prob. 22ECh. 11.0B - Prob. 23ECh. 11.0B - Prob. 24ECh. 11.0B - Prob. 25ECh. 11.0B - Prob. 26ECh. 11.0B - Prob. 27ECh. 11.0B - Prob. 28ECh. 11.0B - Prob. 29ECh. 11.0B - Prob. 30ECh. 11.0B - Prob. 31ECh. 11.0B - Prob. 32ECh. 11.0B - Prob. 33ECh. 11.0B - Prob. 34ECh. 11.0B - Prob. 35ECh. 11.0B - Prob. 36ECh. 11.0B - Why could you not use a graphing calculator to...Ch. 11.1 - Prob. 1ECh. 11.1 - In Exercises 1-4, a write the given data in...Ch. 11.1 - Prob. 3ECh. 11.1 - In Exercises 1-4, a write the given data in...Ch. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Use the information in Exercise 3 to predict the...Ch. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 511, round all percents to the...Ch. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - In Exercises 5-11, round all percent to the...Ch. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Monopoly is the most played board game in the...Ch. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.CR - Prob. 1CRCh. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CRCh. 11.CR - Prob. 21CRCh. 11.CR - Prob. 22CRCh. 11.CR - Prob. 23CRCh. 11.CR - Prob. 24CRCh. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - Prob. 30CRCh. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CR
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .arrow_forward12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction randomly choose which way to go. Figure 3.28 (a) Construct the transition matrix for the Markov chain that models this situation. (b) Suppose we start with 15 robots at each junction. Find the steady state distribution of robots. (Assume that it takes each robot the same amount of time to travel between two adjacent junctions.)arrow_forwardFinal Answer only pleasearrow_forward
- I need help solving part B please.. The computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities. To From Running Down Running 0.90 0.10 Down 0.20 0.80 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? The asnwer for part A is .10! (b) What are the steady-state probabilities of the system being in the running state and in the down state? (Enter your probabilities as fractions.) Running?1= ? Down?2= ?arrow_forward13) THE MARKOV CHAIN EXPERIMENT DESCRIBED BELOW HAS TWO STATES: USING A CREDIT CARD AND NOT USING A CREDIT CARD. Hard HT A. GIVEN THE FIRST MONTH FIND THE PROBABILITIES FOR THE THIRD MONTH. P = Given month Card used Card not used B. FIND THE STEADY STABILIZE. Next month: Uses card .8 83 1.3 Card is not used (6 POINTS 14) GIV .2 7 Pr(a woman used a charge card) = .9 Pr(a woman did not use a charge card) = .1 A = [91] 211A STATE VECTOR WHERE THE PROBABILITIESarrow_forwardThe purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities. To From Special B MDA Special B 0.90 0.10 MDA 0.02 0.98 (a)Which brand appears to have the most loyal customers? Explain. MDA has the most loyal customers because ( ) %? stay with them and only ( ) %? switch to the other brand, as opposed to Special B where only ( )%? stay with them and ( )%? switch. (b) What are the projected market shares for the two brands? (Enter exact numbers as integers, fractions, or decimals.) Special B?1=? MDA?2=?arrow_forward
- The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities. From Special B MDA Need Help? Special B 0.90 = π 1 1/5 π2 1/5 Read It To 0.02 MDA (a) Which brand appears to have the most loyal customers? Explain. MDA ✔✔✔has the most loyal customers because 98 0.10 % stay with them and only 2 (b) What are the projected market shares for the two brands? (Enter exact numbers as integers, fractions, or decimals.) Special B MDA 0.98 X x % switch to the other brand, as opposed to Special B✔✔✔ where only 90 ✓ % stay with them and 10 ✓ % switch.arrow_forwardSuppose you toss a six-sided die repeatedly until the product of the last two outcomes is equal to 12. What is the average number of times you toss your die? Construct a Markov chain and solve the problem.arrow_forwardYou witnessed the following sequence of outcomes from an experiment, where each outcome is represented by a single digit 3, 1, 1, 2, 3, 1, 2, 2, 3, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2,1 Draw a 2nd order Markov Chain that attempts to model the process that generated these outcomes.arrow_forward
- please provide answer within one hour, thanksarrow_forwardNick takes half-court shots on a basketball court. He is a streaky shooter, so his shot outcomes are not independent. If Nick made his last shot, then he makes his current one with probability a. If Nick missed his last shot, then he makes his current one with probability b, where b < a. Modeling Nick’s sequence of half-court shot outcomes as a Markov chain, what is the long-run probability that he makes a half-court shot?arrow_forwardThe computer center at Rockbottom University has been experiencing computer downtime. Let us assume that the trials of an associated Markov process are defined as one-hour periods and that the probability of the system being in a running state or a down state is based on the state of the system in the previous period. Historical data show the following transition probabilities. From Running Running 0.90 Down To 0.20 Down 0.10 0.80 (a) If the system is initially running, what is the probability of the system being down in the next hour of operation? (b) What are the steady-state probabilities of the system being in the running state and in the down state? (Enter your probabilities as fractions.) Running #1 Down #2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Finite Math: Markov Chain Example - The Gambler's Ruin; Author: Brandon Foltz;https://www.youtube.com/watch?v=afIhgiHVnj0;License: Standard YouTube License, CC-BY
Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY