Chapter 05 - Discrete Random Variables 5-1 CHAPTER 5—Discrete Random Variables 5.1A random variable is a variable that assumes numerical values determined by the outcome of an experiment. LO1 5.2The values of a discrete random variable can be counted, or listed; the values of a continuous random variable cannot be counted, or listed. LO1 5.3 a.Discrete b.Discrete c.Continuous d.Discrete e.Discrete f.Continuous g.Continuous LO1 5.4The probability distribution of a discrete random variable is a table, graph, or formula that gives the probability associated with each possible value that the random variable can assume. LO2 5.5The probability of each possible outcome is > 0, and the sum of the probabilities of all possible outcomes is 1. LO2 5.6The mean is the sum of each possible value of xmultiplied by the probability of that value of x. This represents the mean expected value of x. The standard deviation is the square root of the probability weighted sum of the squared deviations from the mean. LO2 5.7The standard deviation measures the spread of the population of the random variable. LO2
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