Markov Chains

Question

If the student attends class on a certain Friday, then he is three times as likely to be absent the next Friday as to attend. If the student is absent on a certain Friday, then he is five times as likely to attend class the next Friday as to be absent again.

Assume that state 1 is Attends Class and that state 2 is Absent from Class.

Find the transition matrix for this Markov process

Answer 1

Write T equal to

--------------------------Attendance----------------Absence

Attendance---------------1/4---------------------------3/4

Absence------------------5/6---------------------------1/6