|
Midterm Exam #1 |
100 pts |
|
Midterm Exam #2 |
100 pts |
|
Homework and Quizzes |
100 pts |
|
Final Exam |
200 pts |
|
|
|
|
Total |
500 pts |
Disclaimer: The
information here is
tentative and subject to change or confirmation by announcement in
class.
Hand in
exercises marked
here with * .
Write out
your answers
neatly in complete English sentences. and
explain your
reasoning.
P: Problems TE: Theoretical Exercises
|
due 1/29 |
Chapter 1, P:
1,2,7,9,12,15*,18,20*,24,26,27,28* |
|
due 2/5 |
Chapter 1, P: 31 Chapter 2, TE: 6, 9* |
|
due 2/16 |
Chapter 2, P: 46 |
|
due 3/1 |
Chapter 4, P: 2, 4*, 17*,
18, 19, 20, 26, 28, 30, 33, 35*, 40, 43* |
|
due 3/8 |
Chapter 4, P: 21*, 37, 38, 51, 53, 55*, 58, 63*, 65, 68, 74 |
|
due 3/25 |
Chapter 5, P: 1, 2*, 4*,
7, 11, 14, 15, 20, 22*, 23, 27, 31*, 32*, 37, 39 |
|
due 4/5 |
Chapter 5, P: 25, 29, 33,
40* |
|
due 4/19 |
Chapter 6 P: 45, 49* |
|
due 5/3 |
Chapter 7 P: 26, 34*, 36,
40, 45, 48*, 50 |
Please note: This
syllabus, and the
midterm exam dates, are approximate; our mileage will vary. See the
disclaimer
for Textbook Homework.
A PDF
version of the syllabus may be available for print-out.
|
# |
Date |
|
Topics |
|
1 |
1/22 |
1.1--1.5 |
Counting |
|
2 |
1/26 |
1.6, 2.1--2.3 |
More Counting; Axioms of
Probability |
|
3 |
1/29 |
2.4--2.5 |
Inclusion/Exclusion;
Equally Likely Outcomes |
|
4 |
2/2 |
2.5 |
Examples; |
|
5 |
2/5 |
3.1--3.3 |
Conditional Probability; Bayes' Formula |
|
6 |
2/9 |
3.4 |
Independent Events |
|
7 |
2/12 |
3.5 |
Repeated Independent
Trials |
|
8 |
2/16 |
4.1--4.3, 4.9 |
Random Variables,
Distribution Functions and C.D.F.'s |
|
9 |
2/19 |
EXAM 1 ---
Sections 1.1--3.5 |
|
|
10 |
2/23 |
4.4--4.6 |
Expectation and Variance
of Discrete RV |
|
11 |
2/26 |
4.7--4.8 |
Special Discrete
RV's---Bern., Bin., Geom. Distributions |
|
12 |
3/1 |
4.8 |
More Special
RV's---Poisson, Neg. Bin., Hypergeom. d.f.'s |
|
13 |
3/4 |
5.1, 5.2 |
Continuous RV's;
Expectation and Variance |
|
14 |
3/8 |
5.3--5.5 |
Special Cts RV's---Uniform, Expon.,
|
|
15 |
3/11 |
5.4 |
Normal Approximation to
Binomial RV's |
|
|
|
|
SPRING
BREAK 3/13—3/21 |
|
16 |
3/22 |
5.6, 5.7 |
Gamma RV's; Functions of
a RV |
|
17 |
3/25 |
6.1 |
Several RV's; Joint
Distributions |
|
18 |
3/29 |
6.2 |
Independent RV's |
|
19 |
4/1 |
6.3 |
Sums of Independent RV's |
|
20 |
4/5 |
7.1, 7.2 |
Linearity of Expectation |
|
21 |
4/8 |
EXAM 2 ---
Sections 4.1--6.3 |
|
|
22 |
4/12 |
7.3 |
Covariance and Correlation |
|
23 |
4/15 |
6.4, 6.5 |
Conditional Distributions |
|
24 |
4/19 |
7.4 |
Conditional Expectation |
|
25 |
4/22 |
7.6 |
Moment Generating
Functions |
|
26 |
4/26 |
8.1, 8.2 |
Markov and Chebyshev Inequalities; Weak Law of Large Numbers |
|
27 |
4/29 |
8.3 |
Central Limit Theorem |
|
28 |
5/3 |
Catch up and review |
|
|
FINAL EXAM (entire
course): May 7, |
|||
Revised answers for Midterm 1 type questions.
Answers for Midterm 2 type questions.