vcc.ca
MATH 2700: Probability and Statistics for Science and Engineering
Effective date
September 2017
Department
UT Math
School
Arts and Sciences
Description
This course explores the mathematical theory of probability and statistics and is intended for students in Science, Engineering, Computer Science and Business degree programs. Students are introduced to the concepts of descriptive statistics, laws of probability, probability distributions for discrete, continuous and jointly distributed random variables, laws of expectation, estimation, hypothesis testing, correlation and regression.
Credits
3.0
Year of study
2nd Year Post-secondary
Prerequisites
MATH 1200 with a C- or equivalent.
Corequisites
None
Course Learning Outcomes
Upon successful completion of this course, students will be able to:
- Utilize a comprehensive set of descriptive statistical methods, in order to organize, summarize, display and interpret data.
- Use probability rules to evaluate the probability of single and complementary events.
- Calculate the expected value and variance of a discrete and continuous random variables.
- Use discrete probability distributions (including binomial, geometric, and Poisson) in order to evaluate probability of events.
- Use continuous probability distributions including the Normal, uniform, gamma, and exponential in order to evaluate probability of events.
- Construct confidence interval estimates and hypotheses tests for population means, difference of means and proportions from one-sample and two-sample data.
- Apply the law of large numbers and the central limit theorem.
- Compute and interpret simple linear regression between two variables.
Prior Learning Assessment & Recognition (PLAR)
None
Hours
Lecture, Online, Seminar, Tutorial: 60
Total Hours: 60
Total Hours: 60
Instructional Strategies
The course uses a combination of lectures, case studies, simulations, presentations, guest speakers and software demonstrations.
Grading System
Letter Grade (A-F)
Passing grade
D
Evaluation Plan
|
Type |
Percentage |
Assessment activity |
|
Assignments |
15 |
|
|
Midterm Exam |
25 |
|
|
Midterm Exam |
25 |
|
|
Final Exam |
35 |
|
Course topics
- Descriptive statistics
- Laws of probability
- Discrete distributions: Variables, expectations, Binomial and Poisson's distributions
- Continuous distributions: Normal, gamma and exponential distributions
- Normal approximation to Binomial distribution and jointly distributed random variables
- Sampling distributions and the Central Limit Theorem
- Estimation and hypothesis testing for one-sample, two-sample and matched pairs data
- Chi-square test for association
- Correlation and regression
Notes:
- Course contents and descriptions, offerings and schedules are subject to change without notice.
- Students are required to follow all College policies including ones that govern their educational experience at VCC. Policies are available on the VCC website at:
https://www.vcc.ca/about/governance--policies/policies/. - To find out if there are existing transfer agreements for this course, visit the BC Transfer Guide at https://www.bctransferguide.ca.