Random variables- discrete and continuous random variables –distribution function properties-probability mass function, probability density function-mathematical expectation –addition and multiplication theorems on expectations.

Moment generating and cumulating generating & characteristic functions and their properties. Joint probability distributions- marginal and conditional probability distributions-independence of random variables-transformation of variables (one & two dimensional only).

Tchebychev’s inequality, weak law of large numbers and central limit theorem. Probability distributions: Binomial, Poisson and Normal distributions and their properties and fitting of distributions.

Chi-square, t and F Statistics, their probability functions and their Properties.

Correlation and Regression analysis.