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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 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. 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?

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 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. 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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 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. P = (2) Find the three-step transition matrix P(3) 88) 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?
Transcribed Image Text: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 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. P = (2) Find the three-step transition matrix P(3) 88) 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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