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Uncertainty in Engineering >> Content Detail



Assignments



Assignments

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


Week #TopicsASSIGNMENTS
Part 1: Introduction to Probability
1Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' TheoremHomework 1 (PDF)
2-3Random Variables and Vectors, Discrete and Continuous Probability DistributionsHomework 2 (PDF)

Homework 3 (PDF)
4Functions of Random Variables and Derived DistributionsHomework 4 (PDF)
5-6Expectation of Random Variables and Functions of Random Variables

Moments of Variables and Vectors

Homework 5 (PDF)

Homework 6 (PDF)

7Conditional Second Moment AnalysisHomework 7 (PDF)
8Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal DistributionsHomework 8 (PDF)
Part 2: Introduction to System Reliability
9Time-invariant Second-moment Reliability Analysis and Time-invariant Full-distribution Reliability AnalysisHomework 9 (PDF)
Part 3: Introduction to Statistics
10Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian AnalysisHomework 10 (PDF)
11Simple and Multiple Linear Regression
12Final Exam

 








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