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summarizes visits to emergency departments at four hospitals in Arizona. People

ID: 3069941 • Letter: S

Question

summarizes visits to emergency departments at four hospitals in Arizona. People may leave without being seen by a physician, and those visits are denoted as L.WBS. The remaining visits are serviced at the emergency department, and the visitor may or may not be admitted for a stay in the hospital. Consider the hospital emergency room data given below. Suppose that three visits that resulted in LWBS are selected randomly (without replacement) for a follow-up interview. Total LWBS Adrmitted Not admiued 5292 195 1277 8.20 6991 270 1558 5163 240 242 984 4485 4728 3103 168i (a) What is the probability that all three are sclccted from hospital 2? (b) What is the probability that all three are from the same hospital?

Explanation / Answer

a)P(all three are from hospital 2) =(6991/22252)*(6990/22251)*(6989/22250)=0.031002

b)

P(all 3 from same hospital)=P(all are from hospital 1)+P(all are from hospital 2)+P(all are from hospital 3)+P(all are from hospital 4)

=(5292/22252)*(5291/22251)*(5290/22250)+(6991/22252)*(6990/22251)*(6989/22250)+(5640/22252)*(5639/22251)*(5638/22250)+(4329/22252)*(4328/22251)*(4327/22250)=0.068082