Upon completion of this course, students are expected to understand and apply basic
concepts in probability theory and mathematical statistics.
Prerequisite(s)

Corequisite(s)

Special Requisite(s)
Read, understand, formulate, explain, and apply mathematical statements, and state and apply important results in key mathematical areas (Calculus I and Calculus II).
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 09780131246461, 2004.
Other Sources
Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 9780071544269, 2009.
Sample Spaces, The Probability of an Event, Some Rules of Probability, Conditional Probability, Independent Event, Bayes' Theorem
Lectures and recitation
3. Week
Random Variables, Discrete Probability Distributions
Lectures and recitation
4. Week
Continuous Random Variables, Multivariate Distributions,
Lectures and recitation
5. Week
Marginal Distributions, Conditional Distributions
Lectures and recitation
6. Week
The Expected Value of a Random Variable, Moments
Lectures and recitation
7. Week
Chebyshev’s Theorem, Moment Generating Functions, Product Moments, Conditional Expectation
Lectures and recitation
8. Week
The Discrete Uniform Distribution, The Bernoulli Distribution, The Binomial Distribution, The Negative Binomial and Geometric Distribution
Lectures and recitation
9. Week
The Hypergeometric Distribution, The Poisson Distribution
Lectures and recitation
10. Week
The Uniform Distribution, The Normal Distribution
Lectures and recitation
11. Week
The Normal Approximation to the Binomial Distribution, The Normal Approximation to the Poisson Distribution
Lectures and recitation
12. Week
Population and Sample. Statistical Inference, Sampling With and Without Replacement
Lectures and recitation
13. Week
Random Samples, The Sampling Distribution of the Mean, The Sampling Distribution of the Mean: Finite Population
Lectures and recitation
14. Week
Interval Estimation
Lectures and recitation
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
PO2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO3
Ability to design a complex systemi process, device or product under realistic constraints and conditions, in such a way as to meet the desired results; ability to apply modern design methods for this purpose.
PO4
Ability to select and use modern techniques and tools needed for analyzing and Solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
PO5
Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO6
Ability to work efficiently in intradisciplinary and multidisciplinary teams; ability to work individually.
PO7
Ability to communicate effectivley, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instruction.
PO8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO11
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO1
Compute permutations and combinations. (KNOWLEDGE)
LO2
Understand what a random variable is. (KNOWLEDGE)
LO3
Define basic probability terminology, e.g., experiment, outcome, sample space, event, etc. (KNOWLEDGE)
LO4
Describe a probability distribution and a probability density function. (KNOWLEDGE)
LO5
Understand mathematical expectation. (KNOWLEDGE)
LO6
Explain joint, marginal and conditional probability distributions. (KNOWLEDGE)
LO7
Understand where/when special probability distribution functions should be used. (KNOWLEDGE)
LO8
Describe the various special continuous distributions. (KNOWLEDGE)