Assignments

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