The assignments from the class are presented here, by week.
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 |