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INTEGRATED MATH 2 UNIT 6: STATISTICS & PROBABILITY TEST REVIEW TOPICS COVERED • SIMULATION • DETERMINE IF A STATISTICAL MODEL IS VALID. • MAKE INFERENCES AND JUSTIFY CONCLUSIONS FROM SAMPLE SURVEYS, EXPERIMENTS, AND OBSERVATIONAL STUDIES • VENN DIAGRAMS • BASIC CONCEPTS OF PROBABILITY • INDEPENDENCE AND CONDITIONAL PROBABILITY • FREQUENCY DISTRIBUTION • ADDITION AND MULTIPLICATION RULES • PERMUTATIONS AND COMBINATIONS VOCABULARY • UNIONS • THEORETICAL PROBABILITY • INTERSECTIONS • FACTORIAL • DEPENDENT • SAMPLE SPACE • INDEPENDENT • OUTCOMES • MUTUALLY INCLUSIVE • MUTUALLY EXCLUSIVE • CONDITIONAL PROBABILITY • ADDITION RULE • MULTIPLICATION RULE • PERMUTATIONS • COMBINATIONS • COMPLEMENT • VENN DIAGRAM • FREQUENCY TABLE • COMPOUND EVENTS • SIMULATION • SURVEY INTRODUCTION • STATISTICS IS THE SCIENCE OF GATHERING, DESCRIBING, DISPLAYING AND ANALYZING DATA • PROBABILITY IS HOW LIKELY SOMETHING IS TO HAPPEN • EXPERIMENT, EVENT, SAMPLE SPACE/OUTCOME, SUBSET, UNION, INTERSECTION, COMPLEMENT, VENN DIAGRAM BASIC PROBABILITY MAKE INFERENCES AND JUSTIFY CONCLUSIONS • POPULATION • SAMPLE • BIAS • SURVEY MAKE INFERENCES AND JUSTIFY CONCLUSIONS SIMULATION CONDITIONAL PROBABILITY AND INDEPENDENCE • CONDITIONAL PROBABILITY = THE PROBABILITY THAT A SECOND EVENT WILL OCCUR GIVEN THAT ANOTHER EVENT HAS ALREADY HAPPENED CONDITIONAL PROBABILITY CONT. TREE DIAGRAM • - PERMUTATIONS AND COMBINATIONS • FUNDAMENTAL COUNTING PRINCIPLE – A METHOD FOR USING MULTIPLICATION TO COUNT PERMUTATIONS AND COMBINATIONS • PERMUTATION – ORDER MATTERS • FACTORIAL (N!) • HOW MANY WAYS CAN THREE STUDENTS IN MRS. MCLAUGHLIN’S INTEGRATED MATH 2 CLASS BE ARRANGED IN THEIR SEATS? PERMUTATIONS AND COMBINATIONS • - PERMUTATIONS AND COMBINATIONS • COMBINATION – ORDER DOES NOT MATTER PERMUTATIONS AND COMBINATIONS USE THE CALCULATOR FOR PERMUTATIONS AND COMBINATIONS • ENTER THE VALUE FOR N • “MATH” FOR FACTORIALS • ENTER THE VALUE FOR N • “MATH” • “PRB” • CHOOSE OPTION 4 • “ENTER” • “PRB” • CHOOSE OPTION 2 FOR PERMUTATIONS, OR 3 FOR COMBINATIONS • ENTER THE NUMBER FOR R • “ENTER” GOT IT!!!