“Probability and Statistics: A Concise Guide” develops three closely connected subjects. Combinatorics supplies the counting that discrete probability needs. Probability supplies the models that statistics uses to make sense of data. Statistics is where the other two meet the world. The book begins with fundamental counting principles, develops probability from its basic rules through random variables and the major probability distributions, and then turns to statistical estimation, confidence intervals, hypothesis testing, regression and the design of experiments. The emphasis throughout is on understanding why the methods work, not merely on learning which formula to use.
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