Among patients who were improving on a certain day (in the critical care unit of a certain hospital), the following was determined to be true on the next day: 58% were still improving; 10% were stable; 7% were deteriorating; and 25% had been discharged. Among the patients who were stable on a certain day, the following was determined to be true on the next day: 34% were improving; 44% were still stable; 18% were deteriorating; 3% had been discharged; and 1% had died. Among the patients who were deteriorating on a certain day, the following was determined to be true on the next day: 13% were improving; 42% were stable; 41% were still deteriorating; none had been discharged; and 4% had died. What is the expected number of additional days that a patient, who is improving on that certain day, will spend in the critical care unit? Round your answer to the nearest hundredth. A. 4.65 days B. 3.22 days C. 5.76 days D. 7.53 days
Added by Joseph O.
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The transition probabilities between these states from one day to the next are given. We are interested in calculating the expected number of additional days a patient, who is improving on a certain day, will spend in the critical care unit. Show more…
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Among patients who were improving on a certain day (in the critical care unit of a certain hospital), the following was determined to be true on the next day: 58% were still improving; 10% were stable; 7% were deteriorating; and 25% had been discharged. Among the patients who were stable on a certain day, the following was determined to be true on the next day: 34% were improving; 44% were still stable; 18% were deteriorating; 3% had been discharged; and 1% had died. Among the patients who were deteriorating on a certain day, the following was determined to be true on the next day: 13% were improving; 42% were stable; 41% were still deteriorating; none had been discharged; and 4% had died. What is the expected number of additional days that a patient, who is improving on that certain day, will spend in the critical care unit? Round your answer to the nearest hundredth.
Lucas F.
After a particular surgery, patients are placed in an intensive care unit (ICU) until their condition stabilizes. Then they are transferred to a special care ward (SCW), where they remain until they are released from the hospital. In a particular metropolitan area, a study of hospital records produced the following data: each day 4% of the patients in the ICU died, 52% were transferred to the SCW, and the remainder stayed in the ICU. Furthermore, each day 3% of the patients in the SCW developed complications and were returned to the ICU, 1% died while in the SCW, 22% were released from the hospital, and the remainder stayed in the SCW. A) In the long run, what percentage of the patients in the ICU are released from the hospital? B) In the long run, what percentage of the patients in the SCW die without ever being released from the hospital? C) What is the average number of days that a patient in the ICU will stay in the hospital?
Madhur L.
David N.
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