Which of the following is more likely?

Question

Ten percent of the vehicles on the Pennsylvania trunpike are commercial trucks. You watch vehicles passing under an overpass on the turnpike. Which is more likely?
A. Exactly 10 (10%) of the next 100 vehicles are commercial trucks.
B. Exactly 100 (10%) of the next 1000 vehicles are commercial trucks.
C. Between 8% and 12% of the next 100 vehicles are commercial trucks.
D. Between 8% and 12% of the next 1000 vehicles are commercial trucks.

 ---- Which of the following of these are more likely to occur?
A. At least 150 of the next 1000 vehicles are commercial trucks.
B. At least 15 of the next 100 vehicles are commercial trucks.
C. Both A and B are equally likely.
D. Not enough information to know whether A or B is more likely.

Aviram · Accepted Answer

1. D - Since you do not sample all the population, you're liable to receive a result which deviates from the average percentage. The more vehicles you sample, the more it is likely your sample data will be closer to the average.

2. B - A is less likely because the sample size is bigger, therefore, the sample data is more likely to be more similar to the average population data than that of a smaller sized sample.

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Which of the following is more likely?

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