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Math 3081
Probability and Statistics
Instructor: John Lindhe
Phone: 617-373-4882 (Math Dept. Office: 373-2450)
Office Hours: M, W, Th: 12-1, Tu:1-3 or by appointment
Spring 2017
Office: 543 NI
email: [email protected]
Text: An Introduction to Mathematical Statistics and its Applications”, R. Larsen and M. Marx, fifth edition. (published by
Prentice Hall).
Grading:
Quizzes
Tests
Take-home
Final
15%
30%
15%
40%
There will be two quizzes, two 1 hour tests, and two take-home quizzes. The final will be cumulative.
This is an introduction course to the theory of probability and statistics. Its goal is to develop the mathematical tools and
concepts necessary for modeling uncertainty and data analysis in real-world problem. This is a Calculus-based course, and
assumes a working knowledge of single-variable calculus as well as some acquaintance with multi-variable calculus
(including multiple integration).
IMPORTANT:
1. The best way to learn this material is to do the homework problems every week.
Please ask me questions about things you don’t understand, either in class or at my office. DON’T wait until you feel
completely lost!
2. It is your responsibility to be aware of any changes the instructor may make to the syllabus as they are announced in
class, or as posted on the course webpage. Students are responsible for all information given when they are absent.
3. The grade I (Incomplete) will be given only if you have a good attendance record, have missed the Final for a good
reason, and otherwise are doing passing work. Makeup exams are not given unless you have missed the exam for a valid
reason and can prove it. Both makeups and incomplete are given at the discretion of the instructor.
4. Cheating will not be tolerated. All incidents of cheating will be reported to the Office of Judicial Affairs. The
University’s cheating policy and related disciplinary actions are detailed in the Student Handbook. The Handbook also
includes a description of what is considered cheating by the University. Cheating in this class includes (but is not limited
to): looking at the papers of others during a quiz or test, talking to other students during a quiz or test.
5. If you have issues with this course and/or instructor which you are not comfortable discussing with your instructor, you
should contact the course coordinator, John Lindhe, [email protected]. For any matters that remain unresolved, contact the
Teaching Director, Prof. Massey, at [email protected].
6. It is University policy that no grade, including an incomplete, can be changed after one year. Exceptions must be
authorized by the Academic Standing Committee.
7. All students without legitimate conflicts will take the final exam at the scheduled date and time. Do not make travel plans
that conflict with the final exam. The last day to file a Conflict form for the final is Thursday February 2.
8. The last day to drop a course without a W grade is Monday January 30. The last day to drop a course with a W grade is
Thursday April 20.
9. The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. The free tutoring center is expected
to start by Tuesday, January 17th. Hours will be 10am-8pm Monday-Thursday and 10am-1pm on Friday. No weekends.
Students sign up through their MyNEU where they can see the available tutors and the classes that each tutor will be able to
help you with.
The schedule is subject to change. You are responsible to keep informed about such changes on your own.
Week
Topic
Section
Assignment
Jan. 9-12
Sample Spaces and Sets
Probability Function
2.2
2.3
2,3,13,16, 22, 26
1, 2, 4, 6, 9, 12
Jan. 16
Martin Luther Day: No Class
Jan 17-19
Conditional Probability
Independence
Binomial
2.4
2.5
3.2
1, 2, 7, 12, 16, 21, 24, 25, 26, 31, 34, 39, 40, 42, 46, 52
11, 12, 16, 18, 19, 20, 23, 25
4, 7, 8, 9, 23(this last is hypergeometric don’t need to know)
Jan. 23-26
Discrete Random Variables
Continuous Random Variables
3.3
3.4
1, 4, 5, 7, 10, 13, 14
1, 3, 5, 8-10
Expected Value
Variance
3.5
3.6
1, 4, 8, 12, 18, 20, 27
2, 5-8, 11
Joint Densities
More Mean and Variance
3.7
3.9
1,8,10,14,17,19-23,40,45
13,16,17,20,21
4.2
4.3
1,4,6,10,17,20,21
2,5,8,14,16,17,21,22,27,30,33,35
4.3
7,15,18,25,27
5.2
5.4
5.3, 7.4
1,3-7,10,11
5,9,11
HW in Handout. Additional HW in text: 5.3: 1,2,4,5,11,14,26;
7.3:13; 7.4: 1,2,7-9,12
6.2, 6.3,
7.4
Handout; Additional HW in text: 6.2: 1,3,4,6,7,9,10,11
6.3: 1-4,6; 7.4: 18, 20
6.4
1,4,5,7,8,9,10
9.2, 9.4
Handout; Additional HW in text: 9.2: 1-10; 9.4: 1-5
7.5
9.3
1,2,7-9,12
2-5,7
Jan 30Feb. 2
Feb 6- 9
Feb. 13-16 Poisson Distribution
Normal Distribution
Test 1 Review
Feb. 20
President’s Day: No Classes
Feb. 21-26 Test 1
Normal
Feb. 27Mar 2
Estimating Parameters
Properties of Estimators
Confidence Intervals
Mar. 4-12
Spring Break
Mar. 13 –
16
Hypothesis Tests
Mar. 2023
Hypothesis Tests Continued
Type I and II Errors
Mar 27-30 Type I and II continued
Two sample tests
Apr. 3-6
Inferences about σ
The F-test
Apr 10-13
Test 2 review
Test 2
Apr. 17
Patriot’s Day: No Classes
Apr. 19
Review for Final
Apr. 21
Reading Day: No Classes
TBA
Final Exam (Final Exams from
Apr. 21-28)