(a) Use a Markov chain to model the probability of the student being on one of the pages of this website after n clicks. In particular, find the transition matrix, the initial state vector and explain the meaning of entries on each state vector. (b) Use your model to find the probability that the student ends up on page B after 5 clicks. (c) Find the steady state of this stochastic process. (d) Explain why one can use this information to rank the pages of this website and what would the ranking be??
(a) Use a Markov chain to model the probability of the student being on one of the pages of this website after n clicks. In particular, find the transition matrix, the initial state vector and explain the meaning of entries on each state vector. (b) Use your model to find the probability that the student ends up on page B after 5 clicks. (c) Find the steady state of this stochastic process. (d) Explain why one can use this information to rank the pages of this website and what would the ranking be??
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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