| WEEK # | TOPICS | ASSIGNMENTS |
|---|---|---|
| Part 1: Introduction to Probability | ||
| 1 | Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' Theorem | Homework 1 (PDF) |
| 2-3 | Random Variables and Vectors, Discrete and Continuous Probability Distributions | Homework 2(PDF) Homework 3(PDF) |
| 4 | Functions of Random Variables and Derived Distributions | Homework 4 (PDF) |
| 5-6 | Expectation of Random Variables and Functions of Random Variables Moments of Variables and Vectors | Homework 5 (PDF) Homework 6 (PDF) |
| 7 | Conditional Second Moment Analysis | Homework 7 (PDF) |
| 8 | Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions | Homework 8 (PDF) |
| Part 2: Introduction to System Reliability | ||
| 9 | Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis | Homework 9 (PDF) |
| Part 3: Introduction to Statistics | ||
| 10 | Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis | Homework 10 (PDF) |
| 11 | Simple and Multiple Linear Regression | |