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Familiarise students with the probability required in Statistics A Level in this unit. The chapters cover: probability, expectation, probability distribution and an appendix.
4 PROBABILITYThe language of chance; The probability scaleProbable results; Events and likelihoodsSymmetry and equal likelihoodRelative frequency and empirical probabilitySome classical results; Complementary eventsThe multiplication law; Inclusive eventsThe addition law; Some ways of counting elements in a sample spaceFactorial notation; Evaluating factorialsDistinct sequences; Application of arrangementsPermutations and combinations
5 EXPECTATIONFair games; SimulationExpected gain; Mean and varianceMean; Variance; Calculating variance: the general case
6 PROBABILITY DISTRIBUTIONMost likely event – mode; Probability distributionGeometric distribution; MeanVariance; Modelling the occurrence of a random variableApplying the geometric distribution
Appendix I Geometric distribution
• Download all the answers to the Statistics Topics once – all answers are contained in the Statistics Answers PDF• Build confidence through hundreds of questions at the right level.• Ensure students are fully prepared for their exams with extensive practice exercises, worked examples and full A-level examination questions.• Promote understanding through consolidation exercises at the end of each topic.• Challenge and broaden your students’ minds with new interpretations of traditional topics in Statistics.