t reast one sensor detects the pollutaht. b) either only SI or only S2 detect th
ID: 3304410 • Letter: T
Question
t reast one sensor detects the pollutaht. b) either only SI or only S2 detect the pollutant. Si does not detect, and S2 detects the pollutant. d S2 fails to detect the pollutant. 7) A task force of 24 specialists is working on a project, some of them being engineers, and some being financial experts. Of the 24 specialists, 12 have a background in mechanical engineering, 8 in civil engineering, and 10 in electrical. Also, 6 specialize in both mechanical and civil engineering, 4 in both mechanical and electrical, and 4 in both civil and electrical engineering. Finally, 2 specialists have a background in all three disciplines. If a person is selected at random, what is the probability that the person a) is not a mechanical engineer? b) is either an electrical or civil engineer? c) has an engineering background? d) does not have a background in any of the three engineering disciplines?Explanation / Answer
let N =total number ; Mechanical engineer =M =12 ; Civil Enginner =C =8 and electrical engineer =E =10
M & C =6 ; M & E =4 ; C & E =4 ; M & C & E =2
a) probability =1-M/N =1-12/24 =1/2 =0.5
b) probability =P(E or C) =P(E)+P(C)-P(E & C) =(10+8-4)/24 =14/24=7/12
c)P(MUCUE) =P(M)+P(C)+P(E)-P(M & C)-P(C &E)-P(M & E) +P( M &C & E) =(12+8+10-6-4-4+2)/24 =0.75
d)probability =1-P(MUCUE) =1-0.75=0.25
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