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