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AP Stats-Chapter 6 Flashcards

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5831411564random variabletakes numerical values that describe the outcomes of some chance process0
5831414973probability distributiongives the random variable possible values and their probabilities1
5831428517Discrete random variableX takes a fixed set of possible values with gaps between2
5831434586Mean (expected value) of a discrete random variablemultiply each possible value by its probability, then add all the products3
5831437817continuous random variableX takes all values in an interval of numbers4
5831440797independent random variablesIf knowing whether any event involving X alone has occurred tells us nothing about the occurrence of any event involving Y alone and vice versa.5
5831444186binomial settingArises when we perform several independent trials of the same chance process and record the number of times that a particular outcome occurs; 4 conditions must be met (BINS)6
5831452463B in BINS or BITSB-binary (classify each outcome as success or failure)7
5831455072I in BINS or BITSI-Independent trials (one trial must not influence the next trial)8
5831456731N in BINSN-Number of trials is fixed9
5831458268S in BINS or BITSS-Success (there is the same probability of success on each trial)10
5831460313Binomial random variableThe count X of successes in a binomial setting11
5831462755Binomial DistributionThe probability distribution of a binomial random variable.12
5831475115binomial coefficientthe number of ways of arranging k successes among n observations; n choose k13
5831481726mean of binomial random variablenp, where n is the number of trials and p is the probability of success14
5831484513standard deviation of binomial random variablesquare root of (np)(1-p), where n is the number of trials and p is the probability of success15
583148928110% conditionn ≤ (1/10)N16
5831492206Large Counts conditionnp>=10 and n (1-p)>=1017
5831504460Geometric Settingarises when we preform independent trials of the same chance process and record the number of trials it takes to get one success, 4 conditions must be met (BITS)18
5831511288T in BITST-Trials (the number of trials it takes to get one success)19
5831516508Geometric Random VariableThe number of trials Y that it takes to get a success in a geometric setting20
5831517481Geometric Distributionthe probability distribution of a geometric random variable21
5831530293mean of a geometric random variablethe expected number of trials required to get the first success is 1/p where p is the probability of success22

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