MATH 1131 Lecture Notes - Lecture 5: Probability Mass Function, Countable Set, Random Variable

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A random variable is the link between the experimental outcomes and the numerical values associated with each outcome. The rule for a random variable may be given by a formula, as a table, or even in words. A random variable is a rule that assigns a numerical value to each outcome. Copyright 2015 by w. h. freeman and company. A random variable is discrete if the set of all possible values is finite, or countably infinite. A random variable is continuous if the set of all possible values is an interval of numbers. The probability distribution for a discrete random variable x is a method for specifying all of the possible values of x and the probability associated with each value. Probability mass function (pmf) is denoted with a small p and is the probability that a discrete random variable is equal to some specific value.