Question

The Emergency Room in a rural hospital is staffed in four six-hour shifts (labeled W, X, Y, Z). During any shift, an Emergency Room patient is attended to by either a general physician (G), a surgeon (R), or an intern (I). An experiment consists of coding the next Emergency Room patient by shift and attending doctor. Consider the following events. A = The attending doctor is the surgeon. B = The patient is admitted during shift X. C = The patient is admitted during shift Z or is seen by the intern. D = The patient is admitted during shift Y and is seen by the surgeon. (a) Find the sample space S for this experiment. (Enter your answer in set notation.) |{WG,WR,WI.XG.XR.XI,YG,YR, YI,ZG,ZR,ZI} (b) List the outcomes in each of the events A, B, C, and D. (Enter your answers in set notation. Enter EMPTY or @ for the empty set.) A = {WG,XG,YG,ZG} B = {WG,WR,WI} C = {WI.XI, YG, YR,YI,ZI} 0 - {0} (c) List the outcomes in the events A UB and An B. (Enter your answers in set notation. Enter EMPTY or o for the empty set.) AUB = {WG,WR,WI.XG,YG,ZG} AnB = WG

Answer 1

b)A ={WR,XR,YR,ZR}

B ={XG,XR,XI}

C={ZI}

D={YR}

c)

A u B ={ WR,XR,YR,ZR,XG,XI}

A n B ={XR}