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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.
The language of chance; The probability scale
Probable results; Events and likelihoods
Symmetry and equal likelihood
Relative frequency and empirical probability
Some classical results; Complementary events
The multiplication law; Inclusive events
The addition law; Some ways of counting elements in a sample space
Factorial notation; Evaluating factorials
Distinct sequences; Application of arrangements
Permutations and combinations
Fair games; Simulation
Expected gain; Mean and variance
Mean; Variance; Calculating variance: the general case
6 PROBABILITY DISTRIBUTION
Most likely event – mode; Probability distribution
Geometric distribution; Mean
Variance; Modelling the occurrence of a random variable
Applying the geometric distribution
Appendix I Geometric distribution
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