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(8) Solve the following problem using a Markov Chain: A hospital trauma unit has determined that 30% of its patients are ambulatory and 70% are

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(8) Solve the following problem using a Markov Chain: A hospital trauma unit has determined that 30% of its patients are ambulatory and 70% are bedridden at the time of arrival at the hospital. A month after arrival, 60% of the ambulatory patients have recovered, 20% remain ambulatory, and 20% have become bedridden. After the same time, 10% of the bedridden patients have recovered, 20% have become ambulatory, 50% remain bedridden, and 20% have died. (a) Write down the Markov Chain that describes this scenario. Explain. Explanation Markov Chain (b) Determine the percentage of patients who have recovered, are ambulatory, are bedridden, and have died 1 month after arrival. After one month: o recovered % ambulatory % bedridden % died (c) If possible, determine the eventual percentage of patients of each type. Eventually: o recovered % ambulatory % bedridden % died

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