Syllabus
Midterm
1 statistic:
Mean: 62.52. Median: 57. Std: 26.69. A range: 60-100.
Instructor:
Lie Wang, liewang@math.mit.edu, Office: 2-181 (phone: 617-253-3665)
Grader:
Ken Wang (wxz@mit.edu)
Course
homepage:
The website is at math.mit.edu/~liewang/18.05.html. Most of the materials including announcements, homework, etc. will be available on this site.
Text
Book: A Modern Introduction to Probability and Statistics: Understanding Why
and How. By E.M. Dekking, C. Kraaikamp, H.P. Lopuhaa, and L.E. Meester.
Office
Hours:
Lie Wang: Wednesday 1:00pm-3:00pm. (Usually, I will be in my office every morning.)
Homework:
1. Homework will be assigned. Usually, the homework will be assigned on Thursday and will due next Thursday.
2. Homework will be collected in the class and will be graded.
3. If you need extension on the homework, contact me before the due date. Otherwise no late homework is acceptable.
4. You are supposed to work individually, not in group.
Exams:
There will be two in class midterm exams. (We do not have a final exam.)
Midterm1: March 16th. （Topics that will be covered: sample space and probability; conditional probability; law of total probability and Bayes’s rule; independence; random variables (discrete and continuous); expectation; variance; transforming random variables; joint distribution; covariance; correlation.
Practice problems: 3.8, 3.14, 4.6, 4.10, 4.11, 5.5, 5.6, 5.7, 7.4, 7.14, 8.3, 8.5, 8.8, 9.12, 10.6
http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/Exams/index.htm
Midterm2: May 6th. Practice Problems.（(Pdf version)s.（Brief Solution）(Pdf version)） Topics that will be covered: graphic methods, estimation (MLS, Method of Moment), Confidence interval (t distribution), Testing Hypothesese.
Grade allocation:
Homework: 40%
Midterms: 60%
Useful Lecture Notes
http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/
Homework
Homework 1 (Due Thursday, Feb 11.) Page 22, Problem 2.6, 2.7, 2.9; Page 37, Problem 3.2, 3.3, 3.7, 3.10. HW1 Solution
Homework 2 (Due Thursday, Feb 25.) Page 39, Problem 3.15, 3.16; Page 51, Problem 4.2, 4.3, 4.7, 4.12; Page 68, Problem 5.2, 5.3. HW2 Solution
Homework 3 (Due Thursday, Mar 4.) Page 99, Problem 7.2, 7.11, 7.12; Page 111, Problem 8.2, 8.7, 8.10. HW3 Solution
Homework 4 (Due Thursday, Mar 11.) Page 129, Problem 9.2, 9.6, 9.9, 9.11; Page 144, Problem 10.2, 10.10. HW4 Solution
Homework 5 (Due Thursday, April 1.) Page 163, Problem 11.2, 11.4, 11.9; Page 193, Problem 13.9. HW5 Solution
Homework 6 (Due Thursday, April 8.) Page 228, Problem 15.9; Page 242, Problem 16.10; Page 295, Problem 19.2, 19.3. HW6 Solution
Homework 7 (Due Thursday, April 15.) Page 307, Problem 20.2; Page 324, Problem 21.5, 21.6; 21.15. HW7 Solution
Homework 8 (Due Thursday, April29.) Page 337, Problem 22.1, 22.2, 22.4; Page 356, Problem 23.1, 23.3, 23.7. HW8 Solution