A certain factory operates three different shifts. Over the last year, 200 accidents have occurred at the factory. Some of these can be attributed at least in part to unsafe working conditions, whereas the others are unrelated to working conditions. The accompanying table gives the percentage of accidents falling in each type of accident-shift category. Unsafe Unrelated Conditions to Conditions Day 13% 31% Shift Swing 8% 12% Night 33% (a) What are the simple events? (Let S1, S2, and S3 represent the day, swing, and night shifts, respectively. Let Cand C2 represent the unsafe conditions and unrelated to conditions, respectively. Enter your answer in set notation.) Suppose one of the 200 accident reports is randomly selected from a file of reports, and the shift and type of accident are determined. {S1C1,s1C2,S2C1,S2C2,S3C1,S3C2} × unsafe conditions? Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles. (Enter your answers in set notation. Enter EMPTY or ø for the empty set.) (a) List all outcomes in the event A that all three vehicles go in the same direction. A = {RRR,LLL,SSS} (b) List all outcomes in the event B that all three vehicles take different directions. {RLS, RSL, LRS, LSR, SRL,SLR} B = (c) List all outcomes in the event C that exactly two of the three vehicles turn right. C = {RRL, RRS, RLR, RSR,LRR,SRR} (d) List all outcomes in the event D that exactly two vehicles go in the same direction. D = {RRL,RRS,RLR,RSR,LRR,SRR,LLR,LLS,LRL,LSL,RLL,SLL,SSR,SSL,SRS,SLS,RSS,LSS}| (e) List outcomes in D'. D' = {RRR,LLL,SSS,RLS,LRS,LSR,SRL,SLR,RSL } List outcomes in CU D. CUD = {RRL,RRS,RLR,RSR,LRR,SRR,LRR,LLS,LRL,LSL,RLL,SLL,SSR,SRS,SLS,RSS,LSS} | × List outcomes in Cn D. Cn D = {RRL,RRS,RLR,RSR,LRR,SRR} Nood Heln2

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