Math/Stat 431/561
Mathematical Statistics and Probability I
Course description: An introductory course in the theory of statistics and probability, using the concepts and methods of the theory of sets and calculus.
No duplicate credit for Math 431, Math 561, Stat 431, and Stat 561.
Prerequisites: Math 292, or permission of department head.
Text: Mathematical Statistics by Freund, 7th edition, Miller and Miller, Prentice Hall.
For details about your instructor's contact information, office hours, and policies, go to www.faculty.mcneese.edu and access your instructor's website.
Objectives
The student will be able to
- demonstrate knowledge of counting techniques;
- demonstrate knowledge of sets and set theory;
- calculate probability using discrete and continuous probability functions, including conditional probability, independent events and Bayes' theorem;
- understand univariate and multivariate probability densities (including joint, marginal, and conditional distributions) and cumulative distribution functions and use them to calculate probability;
- demonstrate knowledge of mathematical expectation, including moments and moment-generating functions;
- examine discrete probability distributions, such as Bernoulli, binomial, geometric, hypergeometric, Poisson and multinomial;
- examine continuous probability densities, such as uniform, gamma, exponential, chi-square, beta and normal;
- derive probability distributions of functions of random variables.
Course material
Course material will include the following topics:
| Topic | Approx. time |
|---|---|
| Probability: discrete and continuous | ~ 4 week |
| Mathematical expectation | ~ 3 week |
| Special probability functions | ~ 3 week |
| Special probability densities | ~ 3 week |
| Functions of random variables | ~ 3 week |
Assessment
The Semester score for the course will be calculated by using the weights (%) indicated below:
| Weight (%) | |||
|---|---|---|---|
| 75% | Semester average | Tests | ______ % |
| Assignments | ______ % | ||
| _________ | ______ % | ||
| 25% | Final exam grade |
The Semester letter grade in the course will be assigned according to the scale below:
| Semester grade | Semester score |
|---|---|
| 90–100 | A |
| 80–89 | B |
| 70–79 | C |
| 60–69 | D |
| 0–59 | F |
Notes:
- In cases of an excused absence, the instructor reserves the right to reweight the final exam in lieu of a make-up test.
- In the case where a student's score on his final exam indicates exceptional achievement above and beyond that indicated by the semester average, the instructor reserves the right to reweight the value of the final exam in computing the semester grade.
Please read the Department's Attendance Policy.
Instructor's office hours
can be found on the MSU web site at
http://www.faculty.mcneese.edu
Click on individual instructor to view their web page.
Or navigate from MSU Home Page; select Faculty & Staff, select Faculty Web Server.
Students should visit the MSU web page at
http://www.mcneese.edu/policy/diversity.htm
for information about diversity awareness and sexual harassment policies and
procedures, as well as the Americans with Disabilities Act.
Students should also visit the MSU web page at
http://www.mcneese.edu/integrity
for information on the Academic Integrity Policy.
ANY STUDENT WITH A DISABILITY IS ENCOURAGED TO CONTACT THE OFFICE OF SERVICES FOR STUDENTS WITH DISABILITIES IN DREW HALL, ROOM 200, VOICE (337) 475-5916, HEARING IMPAIRED (337) 475-5722. IT IS EACH STUDENT'S RESPONSIBILITY TO REGISTER WITH THE OFFICE OF SERVICES FOR STUDENTS WITH DISABILITIES WHEN REQUESTING A REASONABLE ACCOMMODATION.
One week of summer school is equivalent to 2 ½ weeks of Fall or Spring classes
DMCS
Location:
Kirkman Hall, Beauregard Drive
Mail:
Box 92340, MSU, Lake Charles, LA 70609
Phone:
(337) 475–5788,
Fax:
(337) 475–5799
e-Mail:
sbradley@mcneese.edu
