MAT 321 Probability and Statistics, CRN 20557, Spring 2009



Class meets MW 11:30 a.m.-12:45 p.m. in SBS D121.


Instructor: Serban Raianu, office: NSM A-123, office phone number: (310) 243-3139,

e-mail address:, URL:; office hours: Monday, Wednesday: 1:00 p.m.-3:00 p.m., or by appointment.


Course Description: MAT 321, Probability and Statistics, covers Chapters 2-23 from the textbook.


Text: A Modern Introduction to Probability and Statistics, by F.M. Dekking, C. Kraaikamp, H.P Lopuhaš, L.E. Meester, Springer texts in Statistics, 2005.


Objectives: After completing MAT 321 the student should be able to

  • understand the relationship between a question that arises in the natural, computer, economic, and social sciences and the nature of the numerical data that are needed in order to provide an answer to the question
  • formulate the question in a mathematical context, set up the required mathematical procedure and carry out the required mathematical analysis and calculations, with appropriate use of a calculator, to answer the questions.
  • understand why some statistical procedures are better than others in certain contexts.

Prerequisites: MAT 271 or equivalent with a grade of "C" or better.


Grades: Grades will be based on three in‑class full‑period examinations (60% total), a comprehensive final examination (25%), and quizzes and attendance (15%) for the remainder. The exact grading system for your section is the following: each of the three full-period exams will be graded on a 100 scale, then the sum of the scores is divided by 5 and denoted by E. Homework will not be collected, but all problems on quizzes and exams will be similar to the problems in the homework

5 to 10 minutes quizzes will be given in principle every Monday class meeting, with the exception of the review and exam days, and will be graded on a scale from 1 to 10. The average of the quizzes scores is denoted by Q. There are also 5 points awarded for attendance and class participation, this portion of the grade is denoted by A. The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.

To determine your final gradecompute E+Q+A+F. The maximum is 100, and the grade will be given by the rule:

††††††† A: 93‑100;††††† A‑: 90‑92;††††† B+: 87‑89;††††† B: 83‑86;†† B‑: 80‑82

††††††† C+: 77‑79;††††† C: 73‑76;††††††† C‑: 70‑72;††††† D: 60‑69;†† F: Less than 60.


Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.


Accomodations for Students with Disabilities: Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.


Academic Integrity: The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)


Tentative schedule (Qex = Quick exercises; Ex = exercises):

M 1/26: 2 Outcomes, events, and probability; Qex: 2.1-2.7; 2.7 Ex: 2.1,2.4, 2.7,2.8,2.11

W 1/28: 3 Conditional probability and independence; Qex:3.1-3.8; 3.6 Ex: 3.1-3.4,3.7

M 2/2: 4 Discrete random variables; Qex: 4.1-4.6; 4.6 Ex: 4.1,4.3,4.6,4.7,4.10

W 2/4: 5 Continuous random variables; Qex: 5.1-5.7; 5.8 Ex: 5.2,5.4,5.5,5.8,5.9

M 2/9: 6 Simulation; Qex: 6.1-6.5; 6.6 Ex: 6.2,6.5,6.6,6.7,6.9

W 2/11: Simulation; Qex: 6.1-6.5; 6.6 Ex: 6.2,6.5,6.6,6.7,6.9

M 2/16: Presidentsí Day Holiday

W 2/18: 7 Expectation and variance; Qex: 7.1-7.4; 7.6 Ex: 7.1,7.2,7.5,7.6,7.8

M 2/23: 7 Expectation and variance; Qex: 7.1-7.4; 7.6 Ex: 7.1,7.2,7.5,7.6,7.8

W 2/25: Review

M 3/2: Exam I

W 3/4: 8 Computations with random variables; Qex: 8.1-8.6; 8.6 Ex: 8.1,8.2,8.3,8.5,8.8

M 3/9: 9 Joint distributions and independence; Qex: 9.1-9.6; 9.7 Ex: 9.2,9.5,9.6,9.8,9.9

W 3/11: 10 Covariance and correlation; Qex: 10.1-10.5; 10.5 Ex: 10.1,10.2,10.5,10.6,10.7

M 3/16: 11 More computations; Qex: 11.1-11.4; 11.5 Ex: 11.1,11.2,11.4,11.5,11.6

W 3/18: 12 The Poisson process; Qex: 12.1-12.3; 12.6 Ex: 12.1, 12.5,12.6,12.7,12.8

M 3/23: 12 The Poisson process; Qex: 12.1-12.3; 12.6 Ex: 12.1, 12.5,12.6,12.7,12.8

W 3/25: 13 The law of large numbers; Qex: 13.1-13.3; 13.6 Ex: 13.2,13.4,13.6,13.8,13.9

M 3/30: Spring Recess

W 4/1: Spring Recess

M 4/6: 14 The central limit theorem; 14.1-14.2; 14.4 Ex: 14.2-14.6

W 4/8: Review

M 4/13: Exam II

W 4/15: 18 The bootstrap; Qex: 18.1-18.3; 18.5 Ex: 18.1,18.3-18.5

M 4/20: 23 Confidence intervals for the mean; Qex: 23.1-23.6; 23.6 Ex: 23.1,23.2,23.5,23.6,23.7

W 4/22: 24 More on confidence intervals;Ex: 24.1,24.4,24.6,24.9

M 4/27: 25 Testing hypotheses: essentials; Ex: 25.2,25.4,25.5,25.6

W 4/29: 26 Testing hypotheses:elaboration; Ex: 26.3,26.5,26.6,26.8

M 5/4: 27 The t-test; Ex: 27.2,27.5,27.7

W 5/6: Review

M 5/11: Exam III

W 5/13: Review

Final exam: Wednesday, May 20, 11:30 a.m.- 1:30 p.m.