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AP Statistics Chapter 6 Flashcards

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9227935686DisjointEvents cannot be independent They can be one event or the other but not both and the events have nothing in common with each other. If one has occured the other must not occur.0
9228019137IndependentOne event having occured does not affect the outcome of the other event. (Knowing one has occured does not change the probability of the other occured). P(A and B) = P(A) time P(B). Also P(A) = PA|B) Also P(B) = P(B|A)1
9228125544ComplementaryNot2
9243011931SimulationThe imitation of chance behavior based on a model that accurately reflects the phenomenon under consideration.3
9243034014ProbabilityThe proportion of times an outcome would occur in a very large series of repetitions.4
9243044996Simulation Steps1. State the problem 2. State your assumptions regarding probabilities 3. Assign digits to represent outcomes 4. Simulate many repetitions 5. Summarise your findings and state your conclusions.5
9243068546Sample SpaceSet of all possible outcomes6
9243076044EventAny outcome or set of outcomes.7
9243088197Probability ModelA sample space and a way of assigning probabilities to events.8
9243143249Tree DiagramA method to show the probability of specific outcomes.9
9243180736Multiplication principlen ways times m ways10
9243225371Union (if mutually exclusive)All possible outcomes A or B A. Juniors B. Seniors11
9243239125Complement(A^C) All the events not in A A. Juniors12
9243245482Intersection (If independent)Event consisting of all possible outcomes in both A and B. (AnB) A. Seniors B Females13
9243264138Rules of probability1. All probabilities must be between 0 and 1 2. Addition rule: If A and B are disjoint events then P(A or B)= P(A) + P(B) 3. Complement rule: For any event A. P(A^c)=1-P(A) 4. P(S)=1 5. Multiplication rule: If A and B are independent events then P(A and B)=P(A)P(B)14
9243288176Venn Diagram (A and B)15
9245155413All probabilities must be....between 0 and 116
9245310249Addition ruleIf A and B are disjoint events then P(A or B)= P(A) + P(B)17
9245312515Complement ruleFor any event A. P(A^c)=1-P(A)18
9256828948Multiplication RuleIf A and B are independent events then P(A and B)=P(A)P(B)19
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