Probability and Introduction to Statistics

This course focuses on probability theory, with the view of probability distributors as models for phenomena with statistical regularity. 1. Discrete distributions (binomial, hypergeometric, and Poisson); 2. Continuous distributions (normal, exponential) and densities; 3. Random variables, expectation, independence, conditional probability; 4. Introduction to the law of large numbers and the central limit theorem; 5. Sampling distributions; 6. Elementary statistical inference (confidence intervals and hypothesis tests).