STATS 250 Lecture Notes - Lecture 4: Standard Deviation, Cumulative Distribution Function, George E. P. Box
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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. 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. We will consider two broad classes of random variables: discrete random variables and continuous random variables. A car is selected at random from a used car dealership lot. For each of the following characteristics of the car, decide whether the characteristic is a continuous or a discrete random variable. a. In statistics, we are interested in the distribution of a random variable and we will use the distribution to compute various probabilities.