It is anticipated within the cola industry that of the people who prefer Coke this year, 5% will prefer Pepsi next year, and of the people who prefer Pepsi this year, 10% will prefer Coke next year. What is the transitionmatrix for this Markov chain problem?Oa.95 .05.1.9Ob..1.0595.9Oc..05.95.1.9O d. None of the above.

Let C be the probability of the people who prefer coke this year. Let P be the probability of the…

t is anticipated within the cola industry that of the people who prefer Coke this year, 5%% will prefer Pepsi next year, and of the people who prefer Pepsi this year, 1096 will prefer Coke next year. What is the transiti matrix for this Markov chain problem? O a. 95 .05 .1 .9 Ob. .1 .05 .95 .9 O. .05 .95 .1 .9 O d. None of the above.

t is anticipated within the cola industry that of the people who prefer Coke this year, 5%% will prefer Pepsi next year, and of the people who prefer Pepsi this year, 1096 will prefer Coke next year. What is the transiti matrix for this Markov chain problem? O a. 95 .05 .1 .9 Ob. .1 .05 .95 .9 O. .05 .95 .1 .9 O d. None of the above.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question 1.16.2 (Markov chains, Part IB, 1991, 307D) Three girls A, B and C are playing table tennis. In each game, two of the girls play against each other and the third girl does not play. The winner of any given game n plays again in game n + 1. The probability that girl x will beat girl y in any game that they play against each other is sx/(Sx+Sy) for x, y = {A,B,C}, x‡y, where sa, SB, SC represent the playing strengths of the three girls. In what proportion of games does each girl play, in the long run?
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Show full answers and steps to part d) and e) using Markov Chain Theory. Please explain how you get to the answers without using excel, R or stata
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Milan.stt
A Markov chain has the transition matrix shown below: 0.2 0.1 0.7] P = 0.6 0.4 1 (Note: For questions 1, 3, and 5, express your answers as decimal fractions rounded to 4 decimal places (if they have more than 4 decimal places).) (1) If, on the first observation the system is in state 1, what is the probability that it is in state 1 on the next observation? (2) If, on the first observation the system is in state 1, what state is the system most likely to occupy on the next observation? (If there is more than one such state, which is the first one.) (3) If, on the first observation, the system is in state 1, what is the probability that the system is in state 1 on the third observation? ...
Suppose it is known that in the city of Golden the weather is either "good" or "bad". If the weather is good on any given day, there is a 2/3 chance it will be good the next day. If the weather is bad on any given day, there is a 1/2 chance it will be bad the next day. a) Find the stochastic matrix P for this Markov chain. b) Given that on Saturday there is a 100% chance of good weather in Golden, use the stochastic matrix from part (a) to find the probability that the weather on Monday will be good. The initial state xo = c) Over the long run, what is the probability that the weather in Golden is good?
Please do question 4
Answer question c