Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Given the following Markov Model, the correct statements are:
π = .4
.25
π = .6
Sunny
Rainy
.3
.75
.7
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.75* 0.25*
0.7 * 0.3.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.3 * 0.3 * 0.25 *
0.25 * 0.3.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.4 * 0.4 * 0.6*
0.6 * 0.4.
The probability to have a sequence of 5 days as "sunny, sunny, rainy, rainy, sunny" is 0.75 * 0.75 * 0.7*
0.7 * 0.75.
Topic: MARKOV CHAINS
In a sample of 400 Internet subscribers taken in late 2000, 80% were connected by telephone, and the rest via cable modem.the rest via cable modem. At the end of 2001, the number of subscribers who switched from telephone to cable modem connection was 110; and the number of subscribers who switched from telephone to cable modem connection was 110.modem connection was 110; and the number of subscribers switching from cable modem to telephone connection was 24.
A) Write the transition matrix of the problem.
Enter below a 3x3 Markov matrix which has more than 1 steady state. You can not use the identity matrix.
Give your answer using python format, for example [[1.23, 3.1], [4.56, 11]]. Click the help button ? to get more information about the expected format for your answer.
Chapter 17 Solutions
Operations Research : Applications and Algorithms
Knowledge Booster
Similar questions
- Draw the probability tree for the situation. Draw the reverse tree for the situation.arrow_forwardThe importance of the hidden Markov chain in a historical data set should be discussed.arrow_forwardTOPIC: MARKOV CHAINS An electronic device manufacturer orders 2-meter-long conductors from a supplier, who claims that the wire in its conductors has the specified mechanical strength desired by its engineers.that the wire of its conductors has the specified mechanical strength desired by the company's engineers for use in experimental models.for use in experimental models. Each shipment is rated by the technicians who use it as"satisfactory" (nothing is reported to the supplier), as "substandard" (the supplier is notified in writing that the consignment does not meet the standards), or as "substandard" (the supplier is notified in writing that the consignment does not meet the standards).(the supplier is notified in writing that the shipment does not meet specifications), or as "unacceptable" (the shipment is returned, and in accordance with thethe supplier replaces it with another one that has been 100% verified). The classification thus depends on thedegree to which the material…arrow_forward
- Assume a polynomial model with (01, 02, 03) =(2, 4, 1), Calculate the error of using this model for the sample point (x,y) =(4, 20), where x is the independent and y is the dependent variable.arrow_forwardHow many states have a nonsimplified Markov chain for a system consistingof n components? Assume that each component has two states: operationaland failed.arrow_forwardA particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?arrow_forward
- Let us say that we have a set of emails (without any labels) and your task is to determine which emails can be potentially a spam. The suitable method to solve such a problem is ? Decision tree Logistic regression K-means Linear regressionarrow_forwardGiven a hidden Markov Model (HMM) diagram in Figure 2 to represent weather in Jakarta in the past three months. The diagram in Figure 2 shows the process of predicting whether someone will be walking, shopping, or cleaning on a particular day based on whether the day is rainy or sunny. In the diagram, two hidden states are rainy and sunny; while the observed states (activities during corresponding weather) are shopping, walking, or cleaning. Based on observation, someone has the following activity sequence: shop, walk, and clean. What is the most likely weather (the hidden states: Rainy or Sunny) sequence, given such activity sequence. Answer this question using Viterbi algorithm and draw weather hidden states sequence using the Trellis diagram. Hint: For the Viterbi algorithm and the Trellis diagram you can refer to the following book: Stuart Russell, Peter Norvig. 2010. Artificial Intelligence : A Modern Approach, 2nd edition, Pearson Education. New Jersey, ISBN:9780132071482 (see…arrow_forwardWhen we discuss measures of center and spread, there are certain ones that go together, and certain ones that do not. If we talk about the center in terms of the mean, then spread is described using the ["", ""] . If we talk about the center in terms of the median, then the spread is described using the ["", ""] .arrow_forward
- Evaluates the weather forecasting system. Take a backward chaining to conclude that there is a possibility of rain when it is observed that the sun is behind the clouds and the air is very heavy and cool. Show your work and gives the conclusion. Weather forecasting system rules. Rule 1: IF we suspect temperature is less than 20o AND there is humidity in the air THEN there is possibility of rain Rule 2: IF sun is behind the clouds AND air is very cool THEN we suspect temperature is less than 200 Rule 3 IF air is very heavy THEN there is humidity in the airarrow_forwardQ4 telephone switch with 3 circuits (servers) is modeled as an M/M/C queuing system with respective call arrival and departure rates equal to 75 call/s and 100 call/s. If 47.196 is the probability that the switch is idle (has no calls), then the probability that customers have to wait before serving their call is equal to [Pr] 96. Report your answer as a percentage rounded to one digit after the decimal point.arrow_forwardFor the Covid-19 pandemic, let’s make the following assumptions: (i) the natural infection rate is 20% (i.e., a person who is not vaccinated has 20% chance of being infected); (ii) the vaccine is 90% effective at preventing Covid-19 infection (i.e., a vaccinated person has only 2% chance of being infected); (iii) the probability of a random person being vaccinated is 60%. Without knowing whether or not a person is vaccinated, what is the probability that this person will be infected? Given that a person is infected, what is the conditional probability that this person is vaccinated?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole