Probability and Statistics

This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as model building and experiment design.

Contents
Random phenomena
Probability
Random variables
Expected values
Commonly used discrete distributions
Commonly used density functions
Joint distributions
Some multivariate distributions
Collection of random variables
Sampling distributions
Estimation
Interval estimation
Tests of statistical hypotheses
Model building and regression
Design of experiments and analysis of variance
Questions and answers