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Random variables and distributions

Read the idea, work independently, then explain what changed.

Each section contains concept explanations, three worked examples, ten graded exercises and teacher preparation.

Use conditional denominators, disjoint partitions and Bayes inversion.

Construct a distribution and compute event probabilities from its support.

Compute expectation and variance and distinguish transformation from random independence.

Choose the correct model for repeated independent trials or sampling without replacement.

Standardise a normal variable and interpret supplied table probabilities and symmetry.