MATH 471 - PROBABILITY

 

Latest version of the Syllabus

Date Covering Assignment
Aug 20 Intro; discuss structure of the class.

Some fun paradoxes/problems of probability

Aug 22 Finish paradoxes

Start Ch. 1

1.1, 1.2

Page 5: Exercise1.9, 10,11
Page 9: Exercise 1.20, 21, 22

Discuss Aug 29, Try to finish by Aug 31, hand in underlined problems only on Sep 5

Aug 24 No class - hurricane
Aug 27 1.3, 1.4, 1.9
Aug 29

1.5 (equiprobability)

Page 10: 1.25 1.27, 1.28, 1.30
Discuss Aug 31
Aug 31 Finish Ch. 1 Chapter 1 (p19-22) problems 2, 3, 5, 6, 7. Discuss Sep 5, underlined due Sep. 10
Sep 3 Labor day
Sep 5 Independence, Conditional Probability

Page 20:7
Page 12: 1.34, 1.36;
Page 13: 1.42, 1.44-5, 1.47

Due Sep 12

(Discuss in class on Sep 10)

Sep 7 Start random variables
Sep 10

Announcement:

To access the online version of the book:

  1. Click on this link
  2. Scroll down to the Holdings Information
  3. Click on the title in the E-Items

Putnam Exam Information

Here is the flyer with information on the Putnam exam.

Sep 12
Sep 14 (NOTE: Corrected Sep 17)

Page 15: 1.52, 53


Page 25: 2.8, 2.10, 2.11, 2.12
Chapter 2 (p. 35) problems 1, 4
Chapter 1 (p19-22) problems 6, 8, 9, 11, 17 (this one's a little harder!)
Also, look at p22#18; we did half of this in class.

Underlined problems due Sep. 24 26

Sep 17,19
Sep 21

We have now covered through 2.4

Page 33: 2.38,39
Page 35: 2.45, 2.46
Chapter 2 (p. 35-37) problems 7, 9

Warning: some of these are hard!

Underlined due October 1
(There will be another "supplemental" homework set due then as well.)

Oct 1

p.39/3.9
p. 40/3.12
p. 44/3.23, 3.24
p.45/3.29 (just second part, since we did the first in class: give an example to show that the sum of dependent Poisson random variables need not be Poisson with the sum of the rates. Hint: Let X=Y)

p. 47/3.42
Ch. 3 Problems (p47-49): 1, 4, 5, 7 (important!), 9 (hint: make a table with the joint pmf), 11 (easier than it looks), 14

Due Oct. 10; will discuss Oct 6,8

Oct 12 Exam I

Covers through Ch. 3

It is OPEN BOOK, and you may also bring 1 side of one 8x11" page of notes (anything you like on it)

Oct 17

Page 51: 4.4, 4.5
Page 53: 4.18, 4.19
Page 56: 4.30
Page 58: 4.40, 4.41, 4.42
Page 58-60/2, 4, 6, 7 (using PGFs), 8, 10 (the "duellists" part)

Underlined due Oct 29

Oct 29

These problems due Wednesday, Nov. 7. (Try to have them done by Monday, Nov 5!)

This set is pretty straightforward:

5.11, 5.12, 5.13, 5.18, 5.19, 5.31, 5.32
5.48, 5.67 <- treat as one problem
5.54, 5.68

These are a little tougher:

Page 79/2, 3, 9, 10, 11, 14

Oct 31, Nov 2 Interlude.

Meanwhile, here's a video on the relationship of the geometric and exponential distributions

Due Nov 14 16:

6.15, 6.25, 6.26, 6.35, 6.36
p102/2, 3

Due Nov 19:

6.45, 6.46, 6.47, 6.54
p102/6, 9, 11

6.60, 6.61

6.70, just turn in the (X^2+Y^2)^.5 part

p102/14ab, 15, 17, 21

(look at 22-23, which are fun, but you won't be examined on them)

Underlined due Dec 3

(Just to be clear, the following are NOT to be turned in!)

7.11, 7.36, 7.37, 7.59<----absolutely do these, I mean it!

p130/6 <--- same with this one!

7.62 (a little harder, but like a problem we had), 7.72, 7.74

8.21, 8.32 (hint: these are easy, I like putting problems like these on exams)

Use MGF to find the first few moments of a Gamma(a,b). Can you deduce a general formula?

Dec 7 EXTRA OFFICE HOURS::

UPDATE: My 2:00 meeting has been switched to 1:00, so the hours have changed:

9:30-11
12:10-1:00
2:00-3:20
4:45-- by prior request only

Dec 10 Final Exam, 2:15-4:15

Usual room (I think!)
Open book, one page of notes permitted
No electronic devices (etext OK by prior arranmgement)