Some motivating examples and some fundamental concepts -- The concept of probability and some basic results -- Numerical characteristics of a random variable, some special random variables -- Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient -- Independence of random variables and some applications -- Transformation of random variables -- Some modes of convergence of random variables, applications -- An overview of statistical inference -- Point estimation -- Confidence intervals and confidence regions -- Testing hypotheses -- More about testing hypotheses -- A simple linear regression model -- Two models of analysis of variance -- Some topics in nonparametric inference.
