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Law of Large Numbers for Proportions

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A manufacturing process produces defective parts with a probability of 0.03. Each day, a random sample of 500 parts is inspected. Over a 30-day period, the daily sample proportion of defective parts is expected to:

A

It will fluctuate randomly with no central tendency

B

It will be exactly 0.03 on each day

C

It will tend to stabilize around 0.03

D

It will decrease over time as the process improves

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