Unit III: Probability Distribution
Sample space, events, Probability of an event, Axioms and theorems of probability, Conditional probability & Baye's theorem, Random variables, discrete random variable, probability function, probability distributions, cumulative distribution, Mathematical expectation, moments, mean and variance, Uniform distribution and its properties, Binomial distributions and its properties, Continuous random variable, probability density, cumulative density, mean and variance, Chebychev's inequality and laws of large numbers.