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A nasty bout of flu has hit a population of 300 students. A student who has...

A nasty bout of flu has hit a population of 300 students. A student who has the flu today has a probability of 0.8 of recovering tomorrow. A student who does not have the flu today has a probability of 0.5 of catching the flu tomorrow. If 100 students have the flu today, how many students will have the flu 3 days from now?

Use Markov Chains and show all working out.

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