1.151 | Spring 2005 | Graduate

Probability and Statistics in Engineering


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

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)

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  

Course Info

As Taught In
Spring 2005
Learning Resource Types
Lecture Notes
Problem Sets