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Chapter 2 Understanding Randomness and Probability

Randomness is essential to the study of statistics for many different reasons. Two of the most important are stated below.

  • By using randomness we can design samples that have a better chance of being non-biased and representing the population.

  • By understanding randomness, we can use our sample not only to make a claim about a population, or estimate the value of a population parameter, but also to state how “good” that claim is.

Since inferential statistics, which is where we are headed in this text, is all about making claims about a population based on a sample, it is important that we understand randomness and more specifically, the probability of an event.