Login

Create Account
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Markov Chain, Applied Statistics
Each weekend, Derek either reads a book (B), goes to the cinema (C), visits
his local museum (M), or plays squash (S). If he reads a book one weekend,
then he will take part in one of the other activities the next weekend, each
with the same probability. After going to the museum or to the cinema, he
always either plays squash or reads a book the next weekend, and he is twice
as likely to play squash as he is to read a book. The weekend after playing
squash, he always goes to the cinema.
(i) Write down the matrix of transition probabilities for the Markov chain
for Derek’s weekend activities.
(ii) One weekend, Derek reads a book.
(1) What is the probability that he goes to the cinema the next
weekend?
(2) Calculate the probability that he plays squash in two weeks’ time.
(3) Calculate the probability that he goes to the cinema next weekend
and plays squash in two weeks’ time.
(iii) In the long run, what proportion of weekends does Derek spend on each
of the activities? Show all the steps in your solution, and give your
answers either as fractions or correct to three decimal places.
(iv) If Derek visits the museum one weekend, what is the expected number
of weeks until he next visits the museum?
Immediately on returning from a holiday, Derek always either visits the
museum or plays squash, each with the same probability.
(v) Calculate the probability that he will play squash:
(1) one weekend later;
(2) two weekends later;
(3) three weekends later.
(vi) Find an approximate value for the probability that he will play squash
Posted Date: 6/25/2012 6:40:18 AM  Location : United States
Ask an Expert
Related Discussions:
Markov Chain, Assignment Help, Ask Question on Markov Chain, Get Answer, Expert's Help, Markov Chain Discussions
Write discussion on Markov Chain
Your posts are moderated
Write your message here..
Related Questions
Regression analysis , The data used is from a statistical software Minitab;...
The data used is from a statistical software Minitab; London.MPJ is the file that consists of 1519 households drawn from 1980  1982 British Family Expenditure Surveys. Data that i
Sampling, ghjkg
ghjkg
Estimation error on apparent arbitrage, This question explores the effect o...
This question explores the effect of estimation error on apparent arbitrage opportunities in a controlled simulation setting. We simulate returns for N = 10 assets over T = 30 year
Standard error, Standard Error The measure of reliability of the estima...
Standard Error The measure of reliability of the estimating equation that we have developed is given by standard error of estimate. The standard error of estimate represented b
Anova, how do you find if two way or one way
how do you find if two way or one way
Moment generating function, simplified formulae
simplified formulae
Interpolation, Assumption of extrapolation
Assumption of extrapolation
Classical and modern regression, The data in the data frame asset are from ...
The data in the data frame asset are from Myers (1990), \Classical and Modern Regression with Applications (Second Edition)," Duxbury. The response y here is rm return on assets f
Calculation for discrete series or ungrouped data , Calculation for Discre...
Calculation for Discrete Series or Ungrouped Data The formula for computing mean is = where, f = fr
Type i and ii errors, TYPE I AND II Errors If a statistical hypothesis ...
TYPE I AND II Errors If a statistical hypothesis is tested, we may get the following four possible cases: The null hypothesis is true and it is accepted; The
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work