The markov transition matrix is:

[0.9 0 0 ] [x]

[0.1 0.65 .05 ] [y]

[0 .35 .95] [z]

In a small town of 10,000 people, only 100 are initially infected, though no one has yet recovered. Use your Markov transition matrix to compute the number of residents in each category after one week. Show the setup, even if you use a calculator to compute. ...after four weeks (yes, you'll have to round some answers. Again, the setup). Using this method, how many residents will not yet have had the virus after one year (52 weeks)