Managing Uncertainty
Probability, random variables, and the two distributions the syllabus leans on.
01Probability TheoryThe axioms of probability, Venn diagrams and set notation, the addition and multiplication rules, conditional probability and independence, tree diagrams, and Bayes' theorem.100 questions02Random VariablesDiscrete random variables and their probability distributions, finding an unknown constant, expectation and variance, the effect of a linear transformation, and the cumulative distribution function.100 questions03The Binomial DistributionThe four conditions a binomial model requires, the probability formula, cumulative probabilities and the complement shortcut, the mean and variance, the shape of the distribution, and deciding whether a real situation qualifies.100 questions04The Normal DistributionThe shape and properties of the normal curve, standardising to Z, reading probabilities from tables, working backwards from a probability to a value, and approximating a binomial distribution with a continuity correction.100 questions