BS-2 — Probability and Statistics
Concepts of probability, events and populations, probability theorems, concept of a random variable, continuous and discrete random variables, probability distributions, distributions of functions of a random variable, sampling and statistical estimation theory, hypothesis testing, simple regression analysis.
Subject outline
BS-2 Probability and Statistics is a Basic Studies technical exam (PEO National Examination 04-BS-2) on probability and statistical inference for engineers: probability distributions — binomial, Poisson, hypergeometric, normal, and continuous densities given by a formula — sampling distributions of the sample mean and the sample total, confidence intervals, hypothesis tests on means, variances and proportions, the chi-square test for several proportions, and correlation and simple linear regression.
The paper is 2 hours and closed book: the only aids are a Casio or Sharp approved calculator and one hand-written 8.5″×11″ information sheet filled on both sides, and the statistical tables are supplied with the paper. Any five of the eight questions constitute a complete paper.
What this course gives you
Worked solutions — all sixteen questions from May 2019 and December 2018, solved in full. No official solutions exist for this subject: every one was worked from scratch and independently verified. Study notes — ten condensed topics, from choosing the right distribution through confidence intervals and the six test statistics to regression and reading the tables. Practice & case studies — ten multiple-choice questions and five longer problems, two of them engineering scenarios, with worked answers for every one. Formula sheet — two pages, sized to the single hand-written sheet this closed-book exam allows. Printable resources — ten sheets, including clean normal, t, chi-square and F tables generated exactly, plus a test selector, an exam checklist and blank exam stationery. Practice papers — the two question papers on their own, unmarked, for a timed run, each with the six-page appendix of statistical tables exactly as supplied in the exam.