STAT 206 Probability and Statistics is an introductory applied statistics course for math, science, and engineering students. Topics include: set theory, probability, discrete and continuous variables and their distributions, joint probability distributions, point estimates, confidence intervals, hypothesis testing based on one or two samples. If time permits, we will discuss ANOVA tests as well as correlation and regression.
Prerequisites: MATH 100 with a minimum grade of 60%
Accessibility Services Notice
Students who would like an academic accommodation and who have a documented disability should contact Accessibility Services, if they have not already done so.Course Details| Total number of weeks | 15 |
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| Total Credits | |
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| Total Hours | 75 |
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Typical hours per week breakdown| Lecture | 3 |
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| Lab (lab, field, computer) | 2 |
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Learning Outcomes
Upon successful completion of this course, the learner will be able to:
- Summarize data either graphically or numerically
- Calculate the probability of an event using techniques such as counting, trees, and Bayes’ Theorem
- Calculate probability problems involving the following discrete distributions: binomial, negative binomial, hypergeometric, and Poisson
- Use integration and tables to solve probability problems from continuous distributions
- Solve discrete and continuous probability problems for jointly distributed data
- Derive a formula for a point estimator by the method of moments and maximum likelihood functions
- Calculate confidence intervals (for means, proportions and standard deviations) and percentiles based on a sample set of data
- Perform hypothesis tests concerning population means, proportions and standard deviations involving one or two populations
Teaching and Learning Approach
We will use the lecture periods to cover new material (approximately 1.5 weeks/chapter). Lab periods are used to
practice that week's material, prep for exams, and some experimentationLearning Resources
Required:
Devore, J. (2016), Probability and Statistics for Engineering and the Sciences (9th ed.) Boston, MA: Cengage
A scientific calculator is needed for problem assignments.Detailed Course Content, Topics, and Sequence Covered
1. Intro, Displaying data
2. Measures of location
3. Measures of variability, Intro to probability
4. Counting, Conditional probability
5. Independence, Intro to random variables
6. Probability distributions, Expected values
7. Binomial, Hypergeometric, Negative binomial & Poisson dist.
8. Continuous random variables, Normal distribution
9. Joint distributions
10. Point estimation
11. Confidence intervals for a single sample
12. Hypothesis tests for a single sample
13. Inferences based on 2 samples, ANOVA tests
14. Regression, Correlation, Goodness-of-fit. Final exam reviewAssessment
| Title | Learning Outcomes | Value |
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| Assignments and Labs | | 20% |
| Midterm Test 1 | 1 - 3 | 20% |
| Midterm Test 2 | 4 - 6 | 20% |
| Final Exam | All | 40% |
| Total | 100% |
Grading Table
Standard Academic and Career Programs Grading Table
| Percentage |
Letter Grade |
GPA |
| 90-100 |
A+ |
4.33 |
| 85-89 |
A |
4.00 |
| 80-84 |
A- |
3.67 |
| 76-79 |
B+ |
3.33 |
| 72-75 |
B |
3.00 |
| 68-71 |
B- |
2.67 |
| 64-67 |
C+ |
2.33 |
| 60-63 |
C |
2.00 |
| 55-59 |
C- |
1.67 |
| 50-54 |
P |
1.00 |
| 0-49 |
F |
0.00 |
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DNW |
0.00 |
See the Academic Calendar for General Information including how to withdraw from course(s) and other regulations.
Disclaimer
Information contained in this course outline is correct at the time of publication. Content of the course is revised on an ongoing basis to ensure relevance to changing educational, employment and market needs. The instructor will endeavor to provide notice of changes to students as soon as possible. The instructor reserves the right to add or delete material from courses.