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A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively.
If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is ________.
- 15
- 30
- 50
- 70
Correct answer: 30
Solution
The pollution-certificate rate is 30% across all vehicles, and the even-date operating rule does not change that proportion within the even-numbered subset. For 100 randomly chosen vehicles, expected number without certificate = 0.30*100 = 30.
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