MATH 471 - PROBABILITY

 

Latest version of the Syllabus

Date Covering Assignment
Aug 22 Intro; discuss structure of the class.
Start Ch. 1
Aug 24 1.1, 1.2 Page 5: Exercise1.9, 10,11

Discuss Aug 29, hand in underlined problem only on August 31

Aug 29 1.3, 1.4, 1.9 Page 9: Exercise 1.20, 21, 22 (discuss Sep 5)
Aug 31 1.5 (equiprobability) Page 10: 1.25 1.27, 1.28, 1.30 (discuss Sep 5; turn in underlined Sep 7)
Sep 5 Chapter 1 (p19-22) problems 2, 3, 5, 6 (discuss Sep 7; turn in underlined Sep 14)
Sep 7 Finish Ch. 1 Supplemental Homework (download), Due Sep 14

Let's make these due Sep 19:
Page 20:7
Page 12: 1.34, 1.36;
Page 13: 1.42, 1.44-5, 1.47

Sep 19 Continue Ch 2 Page 15: 1.52

Chapter 1 (p19-22) problems 8, 9, 17 (a little harder!)
Page 25: 2.8, 2.10, 2.11, 2.12
Page 29: 2.23, 2.24
Page 30: 2.26

Chapter 2 (p. 35) problems 1, 4

Underlined problems to be turned in Sep 28

Sep 21 Continue Ch 2 Supplemental Homework 2 (download), Due Sep 28
Sep 28 We're in Ch 3, I will try to finish 3.3 Page 33: 2.38,39

Warning: Some of these are hard!

Underlined due October 5

I will post some Ch. 3 problems soon as well


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

(I meant to have these due Oct 5 as well, but OK if you don't turn hem in until next Tuesday)

Oct 3

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

Underlined due Oct 12

Oct 10

Start Ch. 4

The following are covered on the exam, Oct 19:

Page 51: 4.4, 4.5
Page 53: 4.18, 4.19

Turn in the underlined on (only problem 4.19!) on Oct 19.

Oct 12 Continue Ch 4

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. 26 Oct. 31

Oct 17 Review for exam

Continue Ch. 4

Oct 19 Midterm I

Covers Ch. 1-3, also 4.1, 4.2

You may use your text.
You may bring 1 side of one 8x11 sheet of notes.

Oct 24 Finish PGFs

Start continuous RVs (Ch 5)

I'm going to give you a couple of weeks on these, but get started sooner.

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 (turn in part d only), 5.68

These are a little tougher:

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

Underlined due November 9

Oct 31 Continue continuous RVs:

Gamma and related distributions

Moments

Nov. 9 Joint continuous distributions

6.15, 6.25, 6.26, 6.35, 6.36

p102/2, 3

Underlined due Nov 16

6.45, 6.46, 6.47, 6.54

6.60, 6.61

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

p102/6, 9, 11, 14ab, 15, 17, 20, 21

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

Underlined due Nov 30

(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?

The following will not appear on the exam:

7.73 (every math major should know how to do this, but it won't be on the exam)

p130 #12 is cool

Dec 11 Optional take-home final exam supplement

These will be available on my door by late afternoon Dec. 11, you will be on your honor to spend no more than 2 contiguous hours on them and then they are due on Dec. 14 at exam time.

You will be allowed to do some small number of problems, open book/open notes. You score on these will be added to that of the in-class final, but the in-class exam is also stand-alone (you can get an A on the final just from doing the in-class exam).

Some solutions for end of semester HW (by request):

Ch7-8 selected solutions

p103#10

p105#17

6.9#6

Dec 14 Final Exam (in-class). Thursday, 12-2, usual room

As discussed in class, this part is open book, and one page of notes.