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Chapter 6 AP Statistics Flashcards

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5850297187Random Variabletakes numerical values determined by the outcome of a chance process0
5850303070Probability Distributiontells us what the possible values of X are and how probabilities are assigned to those values1
5850314116Discrete Random Variablehas a fixed set of possible values with gaps between them2
5850322317Continuous Random Variabletakes all values in some interval of numbers3
5850331508Mean (Expected Value) of a Random Variablethe balance point of the probability distribution density curve or histogram4
5850344020Mean of a Discrete Random Variable5
5850367197Variance of a Random Variablethe "average" squared deviation of the values of the variable from their mean6
5850374054Standard Deviationthe square root of the variance and measures the typical distance of the values in the distribution from the mean7
5850385163Variance of a Discrete Random Variable8
5850399599Adding/Subtracting/Multiplying/Dividing Constants to a Random Variableadding/subtracting changes the mean but not the standard deviation and multiplying/dividing affects both but does not change the shape of the distribution9
5850423311Linear Transformationinvolves adding or subtracting a constant, multiplying or dividing a constant, or both Y=a+bx10
5850436523Shape of a Linear Transformationsame as the probability distribution of X is b>011
5850444384Center of a Linear Transformationuy=a+bux12
5850449282Spread of a Linear Transformationoy=IbIox13
5850458909Mean of the Sum of Two Random Variablesthe sum of their means14
5850465482Mean of the Difference of Two Random Variablesthe difference of their means15
5850472061Independent Random Variablesknowing the value of one variable tells you nothing about the other16
5850479976The Variance of the Sum of Two Independent Random Variablesthe sum of their variances17
5850486368The Variance of the Difference of Two Independent Random Variablesthe sum of their variances18
5850493688Binomial Settingconsists of independent trials of the same chance process, each resulting in success or failure, with probability of success on each trial19
5850505228Binomial Random Variablethe count X of successes20
5850509739Binomial Distributionits probability distribution21
5850513822Binomial Coefficient22
5850517779Factorialn!=n(n-1)(n-2)...(3)(2)(1)23
5850531263Binomial Probability24
5850535212Mean of a Binomial Random Variable25
5850537496Standard Deviation of a Binomial Random Variable26
585054304410% Conditionthe binomial distribution with trials n and probability p success gives a good approximation to the count of successes in an SRS of size n from a large population containing proportion n of successes as long as the same size n is no more than 10% of the population size N27
5850565588Normal Approximationif X is a count of successes having the binomial distribution with parameters n and p, then when n is large, X is approximately Normally distributed with mean np and standard deviation square root of np(1-p)28
5850586285Large Counts Conditionusing normal approximation when np>=10 and n(1-p)>=1029
5850601712Geometric Settingconsists of repeated trials of the same chance process in which the probability p of successes is the same on each trial, and the goal is to count the number of trials it takes to get one success30
5850617258Geometric Random VariableY when Y= the number of trials required to obtain the first success31
5850625386Geometric Distributionits probability distribution32
5850629850Geometric Probability33
5850636856Mean of a Geometric Random Variableuy=1/p34

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