LEARN · EXPLAIN · REVISE

Selective compulsory volume 3

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

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

Count disjoint alternatives and sequential choices without overlap or omission.

Distinguish ordered selections, unordered sets and symmetry in arrangements.

Use the general term to locate coefficients, constants and coefficient sums.

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.

Interpret scatter patterns and compute a correlation from centered paired summaries.

Fit a least-squares line and distinguish prediction, residual and extrapolation.

Compute expected counts and a chi-square statistic and state a bounded conclusion.