1. Consider modelling changes in the achievement of a grade I learner as a Markov process. You may consider three states

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1 Consider Modelling Changes In The Achievement Of A Grade I Learner As A Markov Process You May Consider Three States 1 (21.46 KiB) Viewed 58 times

1. Consider modelling changes in the achievement of a grade I learner as a Markov process. You may consider three states: above average, average and below average achievement intervals (indexed by A, B, and respectively). Suppose that you carry out a study to discover the probabilities that a given learner will move up or down in the achievement interval from one year of study to another based on the current interval. Let's suppose that the probabilities have been encoded into the following transition matrix: 10.6 0.1 0.11 T. 03 0.8 0.21 lo.1 0.1 0.7 If the learner is currently a below average achiever, calculate the probability that he will move to achieving: an above average in the next grade an average in the next 4 grades illa below average in the next 5 grades [10]