Information Package

Program of Biomedical Engineering (English)

BENG226

PROBABILITY AND STATISTICS

Course Code
BENG226
Semester
Fourth Term (Spring)
Theory+Practice
3 + 1
ECTS
5
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study2
SemesterFourth Term (Spring)
ECTS5
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Learn the fundamental concepts of probability theory and apply them to engineering problems.
  2. Compile and graphically display statistical data sets.
  3. Understand the applications of statistics in various engineering fields.
  4. Evaluate and solve real-world problems using statistical applications.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme Components
Course DescriptionDisplays of Data Sets and Calculations of Some Important Statistics; Fundamentals of Probability; Definition of Probability, Conditional Probability, Bayes' Theorem and Independent Events; Concept of Random Variable, Probability Distributions; Discrete and Continuous Probability Distributions; Joint Probability Distributions, Statistical Independence; Mathematical Expectation, Variance and Covariance; Special Discrete Distributions; Special Continuous Distributions; Concept of Random Sampling and Distributions, Hypothesis Testing, Regression and Correlation Analysis.
Course Contents
WEEK TOPICS
1st Week Introduction to Statistics and Data Analysis
2nd Week Basic Concepts of Probability
3rd Week Definition of Probability, Conditional Probability, Bayes Theorem and Independent Events
4th Week Concept of Random Variable, Probability Functions of Random Variables
5th Week Discrete Distributions
6th Week Continuous Distributions
7th Week Joint Probability Distributions, Statistical Independence
8th Week Midterm Exam
9th Week Mathematical Expected Value, Variance and Covariance
10th Week Special Discrete Distributions
11th Week Special Continuous Distributions
12th Week Random Sampling, Some Important Statistics
13th Week Sampling Distributions of Sample Mean and Sample Variance
14th Week One and Two Sample Estimation
15th Week Hypothesis Testing, Regression, and Correlation
Recommended or Required ReadingReference:
Ang, A.H-S., and W.H. Tang, Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering, 2nd edition, John Wiley & Sons, 2007.
Walpole, R.E., Myers, R.H., Myers Sh. L., Ye K., Probability and Statistics or Engineers and Scientists Prentice Hall, 7th edition.
Additional Resources:
Pishro-Nik, H., Introduction to Probability, Statistics, and Random Processes, Kappa Research, LLC, 2014.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Discussion
  • Questions/Answers
  • Problem Solving
  • Case Study
  • Other
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Assignment 2 10
Quiz 2 20
Attendance 1 5
Total(%) 65
Contribution of In-term Studies to Overall Grade(%) 65
Contribution of Final Examination to Overall Grade(%) 35
Total(%) 100
Language of InstructionEnglish
Work Placement(s)No
LO1 LO2 LO3 LO4
K1
K2
K3
K4
K5
K6
K7
K8
K9
K10
K11