| Week 1, Thursday |
January 4 |
Set Theory, Union Intersection Complement |
Mathematical Statistics and Data Science, Rice 1.1, 1.2 |
| Week 2, Tuesday |
January 9 |
Probability Measures, The Multiplication Principle, Permutations and Combinations |
Rice 1.3, 1.4 |
| Week 2. Thursday |
January 11 |
Permutations and Combinations cont., The Birthday Problem, Multinomial Selection |
Rice 1.4 |
| Week 3, Tuesday |
January 16 |
Conditional Probability, Bayes Rule, Independence |
Rice 1.5 and 1.6 |
| Week 3, Thursday |
January 18 |
Random Variables, PMF, CBF, Binomial Distribution |
Rice 2.1 |
| Week 4, Tuesday |
January 23 |
Binomial Distribution cont., Geometric Distribution, Negative Binomial Distribution, Poisson Distribution |
Rice 2.1 |
| Week 4, Thursday |
January 25 |
Continuous Random Variables, Exponential Distribution, Gamma Distribution |
Rice 2.2.1, 2.2.2 |
| Week 5, Tuesday |
January 30 |
Normal Distribution |
Rice 2.2.3 |
| Week 5, Thursday |
February 1 |
In-Class Midterm Exam |
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| Week 6, Tuesday |
February 6 |
Functions of a Random Variable, Generating Random Numbers, Inverse CDF |
Rice 2.3 |
| Week 6, Thursday |
February 8 |
Functions of Random Variables cont., Joint Distributions, Multinomial Distribution |
Rice 3.1, 3.2, and 3.5.1 |
| Week 7, Tuesday |
February 13 |
Independence, Continuous Joint Distributions, The General Method of Transformations, Convolution |
Rice 3.3 (first two pages and example F), 3.4 (first page), 3.5.2, 3.6 |
| Week 7, Thursday |
February 15 |
Expected Values, The Law of Unconscious Statistician, Markov's Inequality |
Rice 4.1 |
| Week 8, Tuesday |
February 20 |
Variance, Covariance, Correlation, Chebyshev's Inequality |
Rice 4.2 |
| Week 8, Thursday |
February 22 |
Law of Iterated Expectations |
|
| Week 9, Tuesday |
February 27 |
Moment Generating Functions |
|
| Week 9, Thursday |
February 29 |
Law of Large Numbers |
|
| Week 10, Tuesday |
March 5th |
Central Limit Theorem |
|
| Week 11, Tuesday |
March 12th |
In-class Final Exam 12-2PM |
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