STATS 101B Lecture 2: Probability trees

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Another way to represent the information we have about a problem is to use a probability tree. Let"s see how this works by considering another problem. In heathcare, an unexpected readmis- sion refers to a patient returning unexpectedly to a hospital upon receving some sort of procedure. Affordable care act, hospitals are fi- nancially penalized by the government if they have high readmission rates relative to the average for comparable hospitals. At a major academic hospital, it is known that for surgical patients, the duration of anesthesia is related to the rate of readmission. In particular, it is known that for a random surgical patient, the probability that the duration of anesthesia is longer than 200 minutes is 0. 350. When the duration of anesthesia exceeds 200 minutes, the probability of the patient being readmitted is 0. 120. If the duration of anesthesia is 200 minutes or lower, the probability of the patient not being readmitted is.

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