Axiomatic foundations, random variables, Distribution
function, Probability mass function and probability density function. Joint and
conditional distributions for two and more random variables, Marginal and
conditional distributions, stochastic independence, Baye’s theorem,
Mathematical expectation and its properties Conditional expectation, variance
and moments, Probability generating function, Moment generating and
characteristic functions and their properties, Relation between moments and
cummulants, Probability distributions: Bernoulli, Binomial, Hypergeometric,
Poisson, Negative binomial, Geometric, Multinomial distribution. Normal
approximation to binomial & Poisson distribution, Normal distribution with
moments and cummulants