AP®︎ Statistics: Topic 2.8 Flashcards

Master key terms and definitions for Topic 2.8 of AP Statistics – Introduction to Random Variables and Probability Distributions to help you prep for quizzes and the AP exam.


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Term

Random Variable

Definition

A variable that assigns a numerical value to each outcome of a random process

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Random Variable
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A variable that assigns a numerical value to each outcome of a random process

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Discrete Random Variable
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A random variable with a finite or countably infinite set of possible values

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Probability Distribution
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For a discrete random variable, a list, table, graph, or function giving every possible value and its probability

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Valid Discrete Probability Distribution
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A distribution with 0 ≤ P(X=x) ≤ 1 for every value x and ΣP(X=x)=1

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Probability Function / Probability Mass Function
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The function pX(x)=P(X=x) that gives the probability for each possible value of a discrete random variable

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Constructing a Discrete Probability Distribution
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Define the random variable in context; list all possible values; identify outcomes for each value; use probability rules to find each probability; display the distribution; check probabilities are between 0 and 1 and sum to 1

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Simulation-Based Probability Distribution
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An estimated discrete probability distribution found by simulating many complete trials, recording the random-variable value each time, and using relative frequencies for each value

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Probability Table
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A table listing every possible value of a random variable and its probability

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Graph of a Discrete Probability Distribution
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A graph with possible values on the horizontal axis and probabilities on the vertical axis, with separate bars or vertical segments at each value

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Cumulative Probability Distribution / Cumulative Distribution Function
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A table or function giving F(x)=P(X≤x), the probability that a discrete random variable is less than or equal to x

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Outcome vs. Value of a Random Variable
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An outcome is a result in the sample space; a random-variable value is the number assigned to that outcome, and different outcomes can give the same value

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