Redo exercise 16 in section 8.2 of your textbook, about the not-so-enthusiastic student, using the following data:
If the student attends class on a certain Friday, then he is four times as likely to be absent the next Friday as to attend. If the student is absent on a certain Friday, then he is three 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
1. find the transition matrix for the Markov process
P=
2. find the three-step transition matrix P(3)
P(3)=
3. if the student is absent on a given Friday afternoon, what is the probability that he will be present 3 weeks later?