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The Law of Large Numbers involves a:

A. large group of immeasurable units
B. Olarge group of catastrophic risks
C. large group of homogeneous units
D. Olarge group of unpredictable units

1 Answer

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Final answer:

The Law of Large Numbers involves a large group of homogeneous units, which refers to repeated trials in a probability experiment that average out over time to yield the theoretical probability.

Step-by-step explanation:

The Law of Large Numbers is a fundamental principle in the field of probability and statistics. Specifically, this law states that as the number of trials in a probability experiment increases, the difference between the theoretical probability of an event and the relative frequency, or experimental probability, approaches zero. That is, 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 conducted.

Answering the student's question, the Law of Large Numbers involves a C. large group of homogeneous units. These units are the repeated trials or observations that are expected to average out to a certain probability or statistical value as their quantity increases.

It is important to understand that in the context of using probability laws in practice, it is generally acknowledged that large sample sizes are necessary because they are less prone to random deviations than small sample sizes. This principle also plays a critical role along with the Central Limit Theorem to determine the relationship between a sample mean and a population mean, illustrating how the two values become closer as the sample size increases.

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