WEEK #  TOPICS  KEY DATES 

Part 1: Introduction to Probability  
1  Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes’ Theorem  
23  Random Variables and Vectors, Discrete and Continuous Probability Distributions  
4  Functions of Random Variables and Derived Distributions  
56 
Expectation of Random Variables and Functions of Random Variables
Moments of Variables and Vectors 

7  Conditional Second Moment Analysis  
8  Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions  Quiz on part 1 (1.5 hours, in class, open books and notes) 
Part 2: Introduction to System Reliability  
9  Timeinvariant SecondMoment Reliability Analysis and TimeInvariant FullDistribution Reliability Analysis  
Part 3: Introduction to Statistics  
10  Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis  
11  Simple and Multiple Linear Regression  Quiz on parts 2 and 3 (1.5 hours, in class, open books and notes) 
Calendar
Course Info
Instructor
Departments
As Taught In
Spring
2005
Level
Learning Resource Types
grading
Exams
notes
Lecture Notes
assignment
Problem Sets