STATS 250 Lecture Notes - Lecture 6: Cumulative Distribution Function, Sample Space, George E. P. Box
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Patterns make life easier to understand and decisions easier to make. In chapter 2 we discussed the different types of data or variables and how to turn the data into useful information with graphs and numerical summaries. Having some notion of probability from the previous chapter, we can now view the variables as random variables the numerical outcomes of a random circumstance. We will look at the pattern of the distribution of the values of a random variable and we will see how to use the pattern to find probabilities. Recall in our discussion on probability we started out with some random circumstance or experiment that gave rise to our set of all possible outcomes s. we developed some rules for calculating probabilities about various events. A random variable assigns a number to each outcome of a random circumstance, or, equivalently, a random variable assigns a number to each unit in a population.