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AP Statistics (Chapter 6) Flashcards

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9391548156RandomIndividual outcomes are uncertain, however there is a regular distribution of outcomes after a large # of repetitions (not haphazard)0
9391548157IndependentThe outcome of one trial does not influence/effect the outcome of any other trial1
9391548158Sample SpaceThe set of all possible outcomes. Can be presented as a list of ordered pairs or a tree diagram2
9391548159With replacement the denominator is...Constant3
9391548160Without replacement the denominator will...Change4
9391548161Multiplication PrincipleIf you can do one task in "n" ways and a second task in "m" ways, both tasks can be done in "n•m" ways5
9391548162OrAddition6
9391548163Add (not in a marginal distribution)Multiply7
9391548164Add (in a marginal distribution)Find the intersection of a row and a column8
9391548165EventAn outcome or set of outcomes of a random phenomenon. It is a subset of the sample space.9
9391548166Probability Rules1) 010
93915481670Impossible case11
93915481681Certain case12
9391548169Complement RuleP(A'), P(Ā), P(Ac) all equal 1-P(A)13
9391548170Addition Rule for Disjoint EventsP(A or B) = P(A) + P(B)14
9391548171DisjointNo outcomes in common15
9391548172Multiplication RuleIf A and B are independent events then the P(A and B) = P(A) • P(B)16
9391548173Essential Part to Answering A Probability QuestionProbability notation (ex: P( )17
9391548174UniverseBox around the Venn Diagram, represents all possible events18
9391548175OverlapMiddle part of Venn Diagram, events in both circles, enter this part first19
9391548176Remaining EventsThe number in the bottom corner, the probability that none of the lisited events happen20
9391548177Joint EventsSimultaneous occurrence of 2 events21
9391548178Joint ProbabilityThe likelihood of a joint event22
9391548179UOr23
9391548180And24
9391548181Conditional ProbabilityThe probability of one event under the condition that another event is known. When P(A)>0, the conditional probability of event B given A is P(B|A)=P(A and B)/P(A)25
9391548182P(B and A) =P(B|A) • P(A)26
9391548183If there is no condition in a marginal distribution...The denominator is the TT27
9391548184TTTable total, must be labeled28
9391548185|Given that29
9391548186Disjoint Events1) Have no outcomes in common 2) Cannot be independent 3) Cannot occur at the same time 4) Have an intersection that is the "empty set"30
9391548187If events A and B are disjoint, then P(A|B) =0 (because if one is has occurred, the other isn't happening)31
9391548188Independent Events1) Cannot be disjoint 2) Means that the outcome of one event does not influence the outcome of any other event32
9391548189If events A and B are independent, then P(A|B)=P(A)33
9391548190P(A u B)P(A) + P(B) - P(A ∩ B)34
9391548191P(A|B)P(A and B) P(B)35
9391548192In a marginal distribution, "and" means...Look for the intersection of a row and column36
9391548193P of the sample space is...137
9391548194All P must be038
9391548195The joint probability must be smaller than...The individual probabilities39
93915481962 way tables are always used for...Dependent events40

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