On any given day a student is either healthy or ill. Of the student who are healthy Show more Linear Algebra On any given day a student is either healthy or ill. Of the student who are healthy today 95% will be healthy tomorrow.
On any given day a student is either healthy or ill. Of the student who are healthy Show more Linear Algebra On any given day a student is either healthy or ill. Of the student who are healthy today 95% will be healthy tomorrow.
Of the students who are ill today 55% will still be ill tomorrow. A) What is the stochastic matrix for this situation? B) Suppose 20% of the students are ill on Monday. What fraction or percentage of the students are likely to be ill on Tuesday? On Wednesday? C) If a student is healthy today what is the probability that he or she will be healthy two days from now? D) Find the steady state vector for the Markov chain. E) What is the probability that after many days a specific student is ill? Does it matter if that person is ill today? Show less
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