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In a random sample of 200 cars of a part...

In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?

A

150

B

200

C

250

D

300

Text Solution

Verified by Experts

The correct Answer is:
A
The fraction of the cars in the random sample that have a manufacturing defect is `3/200` = 0.015. At this rate, out of 10,000 cars there would be 0.015 × 10,000 = 150 cars that have a manufacturing defect.
Choices B, C, and D are incorrect because the fractions of cars in the population that have a defect, `200/(10,000)` = 0.02 in choice B, `250/(10,000)` = 0.025 in choice C, and `300/(10,000)` = 0.03 in choice D, are all different from the fraction of cars in the sample with a manufacturing defect, which is 0.015.
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