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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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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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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