2. According to a camp us survey, 20% of all MSU students smoke cigarettes. Barb

Question

2. According to a camp us survey, 20% of all MSU students smoke cigarettes. Barb decides to do an experiment. . Ba rb randomly samples 20 MSU students and finds that 35% of her sample smokes cigarettes. - Bar b decides to increase the size of her sample to see what happens. This time she randomly samples 100 MSU students and finds that 28% of her sample smokes cigarett . Barb increases the size of her sample once more. She randomly samples 500 MSU students and finds Question: What law is being illustrated in the above example? State what this law says. (3 pts) that 20.9% of her sample smokes cigarettes.

Explanation / Answer

This is the Law of Large Numbers

According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed. In other words, ss the number of experiments increases, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.

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