PROBABILITY THEORY

This course aims to provide students with the basic concepts of probability theory, including random variables, probability distributions, and their properties such as expectation and variance. Key distributions covered are Bernoulli, Binomial, Poisson, Geometric, Hypergeometric, Uniform, Exponential, and Normal. Students will also learn about joint, marginal, and conditional distributions, independence of random variables, and key theorems like Chebyshev's inequality, the Laws of Large Numbers, and the Central Limit Theorem.