Lecture 1: Introduction & Measures of Central Tendency, Slides, (Extra Material)
Lecture 2: Measures of Dispersion & Chebyshev’s Inequality, Slides, (Example)
Lecture 3: Normal Datasets & Correlation, Slides, (Correlation)
Lecture 4: Counting Principles, Slides, (Examples)
Lecture 5: Sample Space & Events, Slides, (Sample Spaces)
Lecture 6: Probability, Slides, (Conditional Probability, Multiplication Rule)
Lecture 7: Bayes' Theorem, Slides, (Bayes' Rule, Examples)
Lecture 8: Random Variables, Slides, (Examples)
Lecture 9: Expectation and its Properties, Slides, (Joint PDF and CDF)
Lecture 10: Covariance and Some Important Results, Slides, (WLLM, simulation)
Lecture 11: Discrete Distirbutions, Slides, (Bernoulli and Binomial, Example)
Lecture 12: Discrete Distributions, Slides, (Example, Link between Binomial and Poisson, Taylor Series)
Lecture 13: Continuous Distributions, Slides, (Uniform, Exponential)
Lecture 14: Functions of One Random Variable, Slides, (Examples)
Lecture 15: Continuous Distributions, Slides, (Normal distribution, Normal to Standard Normal, Reading Normal Tables)
Lecture 16: Continuous Distributions, Slides, Simulation, (Simulating Observations)
Lecture 17: Sampling Distribution, Slides, Simulation, (t-distribution, CLT, Example)
Lecture 18: Sampling Distribution, Slides
Lecture 19: Point and Interval Estimation, Slides, (Notes, CI for means)
Lecture 20: Point and Interval Estimation, Slides, (t-score, CI for proportions)
Lecture 21: Point and Interval Estimation, Slides, (CI for diff in means)
Lecture 22: Hypothesis Testing, Slides, (Test of means, Test of proportions)
Lecture 23: Errors in Hypothesis Testing, Slides, (Errors, Power)
Lecture 24: T-test and Paired T-test, Slides, (t-test, Paired t-test)