A city has three hospitals. The probabilities that a patient visits Hospitals 1, 2, and 3...

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A city has three hospitals. The probabilities that a patient visits Hospitals 1, 2, and 3 are 0.3, 0.4, and 0.3 respectively. A person that visits a hospital may leave without being seen by a physician (WBS), be seen by a physician and admitted (SA), or be seen by a physician but not-admitted (SNA). At Hospital 1, the probabilities of WBS, SA, and SNA are 0.1, 0.2, and 0.7 respectively. At Hospital 2, the probabilities of WBS, SA, and SNA are 0.15, 0.1, 0.75 respectively. EwBS, ESA, and ESNA, are the events that a patient gets WBS, SA, and SNA, respectively. H3 is the event that a patient goes to Hospital 3. (a) Assume that H3 and EWBS are independent, also H3 and ESNA are independent. What are the probabilities of WBS, SA, and SNA if a patient goes to Hospital 3? (b) Assume that H3 and EwBs are independent, and P[H₁|ESA] = 0.48. What is the probability that a patient gets SNA? A city has three hospitals. The probabilities that a patient visits Hospitals 1, 2, and 3 are 0.3, 0.4, and 0.3 respectively. A person that visits a hospital may leave without being seen by a physician (WBS), be seen by a physician and admitted (SA), or be seen by a physician but not-admitted (SNA). At Hospital 1, the probabilities of WBS, SA, and SNA are 0.1, 0.2, and 0.7 respectively. At Hospital 2, the probabilities of WBS, SA, and SNA are 0.15, 0.1, 0.75 respectively. EwBS, ESA, and ESNA, are the events that a patient gets WBS, SA, and SNA, respectively. H3 is the event that a patient goes to Hospital 3. (a) Assume that H3 and EWBS are independent, also H3 and ESNA are independent. What are the probabilities of WBS, SA, and SNA if a patient goes to Hospital 3? (b) Assume that H3 and EwBs are independent, and P[H₁|ESA] = 0.48. What is the probability that a patient gets SNA?

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Lets denote the events as follows H H2 H3 Events that a patient visits Hospitals 1 2 and 3 respectiv... View the full answer