Instructor: J. Gehrmann
Office: Brighton
Hall 127 (BRH 127)
Phone: 278-6588
E-Mail: jgehrmann@csus.edu
Office Hours: MTWR
and by Appointment
Prerequisites: Mathematics 26A, Mathematics 30, or appropriate high-school Advanced Placement credits
Course Objective: To introduce the fundamentals of probability, give examples of discrete and continuous random variables, and present the basic ideas of sampling, estimation, and hypothesis testing. You will be given periodic writing assignments that encourage you to think about concepts of this course.
Learning Objectives: Understand the basic principles of probability including the laws for sums, products, complementation, and Baye's theorem and use these principles in problem solving situations. Understand the definitions of discrete, continuous, and joint random variables, compute the mean, variance and covariance of random variables, know the definition of density and distribution function of a random variable and be able to find one from the other, and be able to find the marginal density and distribution functions from the joint density function. Define the binomial, uniform, Poisson, negative binomial, hypergeometric, exponential, and normal random variables, know their probability density and distribution functions, compute the mean and variance of these random variables, and use the normal and Poisson distributions to approximate binomial probabilities. Estimation of population parameters from data sets and use of sampling distributions in computing confidence intervals for population parameters. Learn the basic components of hypothesis testing and perform hypothesis tests on population means and proportions.
Textbook: Probability and Statistics for Engineers and Scientists (2nd Ed.) by Anthony J. Hayter
Homework and Quizzes: Homework suggested below is important and should be completed as the topics are covered in class. In completing the homework problems you will come to understand the probability and statistical ideas covered in class and in your textbook. To encourage you to do this homework, quizzes comprised of problems like those on the homework assignments will be given on each non-hour exam day of the term. At the end of the semester, the lowest 4 quiz scores will be dropped. No makeups will be allowed on quizzes. The average of these quizzes will constitute 10% of your numerical score.
Examinations: Three midterm exams will constitute between 35% and 55% of your numerical score, and the comprehensive final examination will constitute between 35% and 55% of your numerical score. Note, the final examination is on Friday, July 12 to make up for the class missed for the July 4th holiday.
FINAL EXAMINATION: Friday, July 12,
Grading: Your final numerical score will be computed from the quiz, hour examinations, and final examination scores, using the percentages mentioned in the previous two paragraphs. Letter grades will be assigned as follows: for an A your numerical score must be from 90 to 100, for a B it must be between 80 and 89, for a C between 65 and 79, and for a D above 55.
Attendance: Attendance will not taken
nor will it be a part of your final grade.
However, since quizzes will be given on most class days, it is in your
interest to attend regularly. If any
handout or other information is given in a class which you miss, you will
still be held responsible for knowing the information that was given.
· Week 1
· 6/3: Probabilities, Events and Combinations of Events—1.1 through 1.3
· 6/4: Conditional and Probabilities or Event Intersections—1.4 and 1.5
· 6/5: Posterior Probabilities and Counting Techniques—1.6 and 1.7
· 6/6: Discrete and Continuous Random Variables—2.1 and 2.2
· Week 2
· 6/10: Expectation and Variance of a Random Variable—2.3 and 2.4
· 6/11: Jointly Distributed and Combinations of Random Variables—2.5 and 2.6
· 6/12: First Hour Exam/Binomial Distribution—3.1
· 6/13: Negative Binomial and Hypergeometric Random Variables—3.2 and 3.3
· Week 3
· 6/17: Poisson and Multinomial Distributions—3.4 and 3.5
· 6/18: Uniform, Exponential, and Gamma Distributions—4.1 through 4.3
· 6/19: Normal Distribution—5.1 through 5.3
· 6/20: Distributions Related to the Normal Distribution—5.4 and Review
· Week 4
· 6/24: Second Hour Exam
· 6/25: Experimentation and Data Presentation—6.1 and 6.2
· 6/26: Sample Statistics—6.3
· 6/27: Point Estimates—7.1 and 7.2
· Week 5
· 7/1: Sampling Distributions and Parameter Estimates—7.3 and 7.4
· 7/2: Confidence Intervals
· 7/3: Third Hour Exam/Hypothesis Testing—8.2
· 7/8: Hypothesis Testing and Paired Samples—8.2 and 9.2
· Week 6
· 7/9: Independent Samples and Inferences on Population Proportions—9.3 and 10.1
· 7/10: Comparing two Population Proportions—10.2
· 7/11: Goodness of Fit Tests and Contingency Table—10.3 and 10.4
· 7/12: Comprehensive Final Examination
|
Sections |
Homework |
Sections |
Homework |
Sections |
Homework |
|
1.1 |
3,5,7,9 |
3.1 |
1,5,7,9 |
6.2 |
5,7,9 |
|
1.2 |
1,3,7,9,11 |
3.2 |
1,5,7,9 |
6.3 |
5,7,9 |
|
1.3 |
1,3,5,7,9,11,13 |
3.3 |
3,5,7 |
7.1,7.2 |
|
|
1.4 |
1,3,5,7,9,11 |
3.4 |
1,5,7 |
7.3 |
3,5,7,11,17 |
|
1.5 |
1,3,5,7,9,11,13 |
3.5 |
1,3,5 |
7.4 |
1,3,5 |
|
1.6 |
1,3,5 |
4.1 |
1,3,5 |
8.1 |
1,5,11,15,17 |
|
1.7 |
5,7,11,13,15,17 |
4.2 |
1,3,5,7 |
8.2 |
1,3,7,11,13,17 |
|
2.1 |
1,3,5,7,11 |
4.3 |
3,7 |
9.2 |
1,3,5 |
|
2.2 |
3,5,7,9,11 |
5.1 |
1,3,9,11 |
9.3 |
1,3,5,7 |
|
2.3 |
1,5,7,9,11,13 |
5.2 |
1,3,5,7 |
10.1 |
1,3,5,9,13,15 |
|
2.4 |
1,3,5,7,11 |
5.3 |
1,3,5,7 |
10.2 |
1,3,5 |
|
2.5 |
1,3,5,9 |
5.4 |
1,3,5,7,9 |
10.3 |
1,3,5,7 |
|
2.6 |
1,3,5,7,11 |
6.1 |
3,5,9 |
10.4 |
1,3,5,7 |