Question

In: Statistics and Probability

If the student attends class on a certain Friday, then he is five times as likely...

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 four 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.

P =

Solutions

Expert Solution

Solution:-

Given that

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 four 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.

From the given data

  

Now as   

  

Now

Therefore

Transition matrix

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