3. A Math 1600A student always submits their Gradescope assignments on Friday, Saturday or Sunday. If a student submits an assignment on a particular day of the week, then they will submit the next assignment on the same day 10% of the time, the later of the remaining two days 60% of the time and the remaining day 30% of the time. (b) Find the transition matrix of the associated Markov chain. ] (a) Draw the state diagram of the associated Markov chain. ] ] ] (c) If the student submits the first assignment on Friday, what is the probability that the student will submit the third assignment on Sunday? (d) What are the long-term probabilities of the student submitting an assignment on each of Friday, Saturday and Sunday, respectively?

3. A Math 1600A student always submits their Gradescope assignments on Friday, Saturday or Sunday. If a student submits an assignment on a particular day of the week, then they will submit the next assignment on the same day 10% of the time, the later of the remaining two days 60% of the time and the remaining day 30% of the time. (b) Find the transition matrix of the associated Markov chain. ] (a) Draw the state diagram of the associated Markov chain. ] ] ] (c) If the student submits the first assignment on Friday, what is the probability that the student will submit the third assignment on Sunday? (d) What are the long-term probabilities of the student submitting an assignment on each of Friday, Saturday and Sunday, respectively?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.

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