If the student attends class on a certain Friday, then he is twice 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. (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. P = (2) In the long-run what are the probabilities that this student attends and does not attend class on Friday? W =

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please solve questions 1 and 2

If the student attends class on a certain Friday, then he is twice 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.
(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.
...
P =
(2) In the long-run what are the probabilities that this student attends and does not attend class on Friday?
[
].
W =
Transcribed Image Text:If the student attends class on a certain Friday, then he is twice 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. (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. ... P = (2) In the long-run what are the probabilities that this student attends and does not attend class on Friday? [ ]. W =
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