| Class Notes (PDF format)
This list includes notes written for a previous 394 class. New notes
are being added, as necessary
Week 1 Notes
A Short Review of Boolean
Algebra Rules
Additional comments on complete
(sigma-) additivity
Two additional problems
Week 3 Notes
1
Week 3 Notes 2
Additional Comments on the
"3-Door" TV Game
An Additional Note on
"Total Probabilities"
More examples of conditional
probabilities
A Note on Independence
About pairwise vs. mutual
independence
Gambler's Ruin (The Random
Walk)
Connecting Random Walks and
Difference (and Differential) Equations
More examples about
probabilities and conditional probabilities
Week 5 Notes
Defining independence for
random variables
The following are old class notes for previous 394 classes. They
duplicate some material in the book, and some material we have already
seen.
Old Week 6
Notes
Additional Comments
Computations on the
hypergeometric distribution
Some complements on Chapter 4. mostly FYI
Continuous Random
Variables
Comments on issues from Chapter
5
The normal distribution and the
Central Limit Theorem
A quick note on proofs of the Law of
Large Numbers and the Central Limit Theorem
A completely non rigorous comment
on the normal distribution
A couple of fun topics (that wil not be on the test :-):
Continuous distributions,
and their relation to discrete ones
We have one more list of
review quizzes and problems.
Solutions to the review
questions
A few more examples
(some parts are more elaborate than what would fit in a classroom test,
but the core ideas are representative)
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