1 .		Is the following matrix a transition matrix for a Markov chain problem?
2 .		Write a transition matrix based on the following information: Among the faculty at a university, 70% of the faculty who order the university's yearbook one year will order it again the next year. 90% of the faculty who do not order the yearbook one year will also not order it the next year.
3 .		Consider a Markov chain with transition matrix Note that two states are possible; let's call them state A and state B, so that, for example, the probability that a person moves from state A in one month to state B in the next month is 0.7. Suppose that in January, the population is evenly divided between states A and B. Find the state matrix which gives the distribution between states A and B in March.
4 .		Is the transition matrix a regular transition matrix?
5 .		Which of the following is the steady state matrix for the transition matrix
6 .		What is the initial augmented matrix you would use in attempting to solve for the steady state matrix for
7 .		Which of the following is the steady state matrix for the transition matrix
8 .		Which of the following is true about the transition matrix
9 .		For the absorbing Markov chain with transition matrix what is the average number of steps that an element in state 2 will spend in state 2 before it reaches an absorbing state?
10 .		For the absorbing Markov chain with transition matrix what is the probability that an element originally in state 1 will go to absorbing state 4?
11 .		What is the steady state matrix for the transition matrix is
12 .		If the initial state matrix is (1/3 1/3 1/3) and the transition matrix is then what Is the state matrix after 4 steps?
13 .		For the absorbing Markov chain whose transition matrix is find the fundamental matrix, F.
14 .		For the absorbing Markov chain whose transition matrix is what is the probability that an element originally in state 1 will go to absorbing state 4?
15 .		If the initial state matrix is (0.4 0 0.6) and the transition matrix is then what is the state matrix after 2 steps?
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