Katie C.

# Find a transition Matrix

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

(Note: Express your answers as rational fractions or as decimal fractions rounded to 4 decimal places (if the answers have more than 4 decimal places).)

(1) Find the transition matrix for this Markov process.

(2) Find the three-step transition matrix 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?

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