Final Practice Examination
and Other Last-minute Stuff
You may find the following useful in your preparations
for the final exam in this course:
- The final exam is comprehensive. It covers all but
the starred sections of Chapters 1 through 8, inclusive.
- In addition to the lecture material, you are asked to
read Section 6.7 pages 300-308 (edition 7) carefully.
This is material on "joint probability distribution
of functions of random variables," and plays an important
role in various applications of probability theory. I
expect you will learn this material before the final.
[See also the final practice sheet problem 10(d).
The download button is at the bottom of this webpage]
- Despite the implicit threats made in the lectures, the
final exam is very well represented by the final exam
practice sheet, which you are advised to download and
study very carefully. You are allowed, even encouraged,
to work on the practice sheet in groups. However,
for unknown reasons, I am not going to make available
solutions to this practice sheet.
- If your final grade is an "A", then this is my way of
telling you that I would be happy to write a letter of
recommendation on your behalf, and/or serve as a job
reference. Please keep in mind that I really need
at least 3-4 weeks of advance notice before I agree to
write a letter. If you forget this seemingly-minor detail,
then I will be happy to remind you when you ask for a
- Good luck in this course, and in all other future
endeavors that you undertake. It has been an enjoyable term,
and many of you have amassed a lot of the lore of probability
theory, and have a good deal to be proud of. [I did promise
it would not be an easy course, didn't I?]