4.F.2 Recall the setup of 2.T.1. On any given day, a student is either healthy or sick. Of the students who are healthy
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4.F.2 Recall the setup of 2.T.1. On any given day, a student is either healthy or sick. Of the students who are healthy
4.F.2 Recall the setup of 2.T.1. On any given day, a student is either healthy or sick. Of the students who are healthy today, (approximately) 90% will be healthy tomorrow. Of the students who are sick today, (approximately) 60% will still be sick tomorrow. a) Find the eigenvectors and eigenvalues for the associated discrete dynamical system. .7 b) Today, 30% of students are sick; let us set to equal to the probability vector :3 . Express zo .3 as a linear combination of the eigenvectors. Find the exact solution to the discrete dynamical system for this specific value of co. c) Continuing, find the exact formula for the proportion of students which are sick after k days.
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