21004017 c psb 1pspbpsb 101105950060355

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Unformatted text preview: D) = 14/200 = 0.07 P(D⋂B) = 42/200 = 0.21 P(S⋂B)=12/200=0.06 P(S⋂D⋂B)=8/200=0.04 a) P(S⋂D’)=P(S) ­P(S⋂D)=0.11 ­0.07=0.04 b) P(B⋂D⋂S’) = P(B⋂D) ­P(B⋂D⋂S)=0.21 ­0.04=0.17 c) P((S⋃B)’) = 1 ­(P(S)+P(B) ­P(S⋂B))= 1 ­(0.11+0.595 ­0.06)=0.355 Venn Diagram can also be used to determine the relationships above. Many students are using multiplication to get the intersection, e.g. P(S ⋂D’)= P(S)P(D’).Youcanonlydothiswhenyouknowtheyarestatisticallyindependent. Sometimesyoumayhavetoassumestatisticalindependencetocompleteaproblem. Butinthiscase,youaregivenP(S ⋂D),sowealreadyknowsomethingabout whetherSandDoccurtogether. 2) (4*4=16points) Accidents in the workplace can occur due to unsafe conditions (U), or to human error (H). In addition, the workshift when the accident occurred may be a factor. These workshifts are day (D), evening (E) and graveyard (G). As the company safety officer, you are assigned to investigate each of the 300 accidents that occurred during the last yea...
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