Probability and Statistics for Engineers

STAT 301

أخبار هامة: 

- لا يوجد. 

Course Objectives:

By completing this course, Students should be able to:

1. Understand presentation and interpretation of the data
2. Understand statistical central tendency measures
3. Understand statistical dispersion measures
4. Understand and apply the simple linear regression technique
5. Understand the basic concepts of probability
6. Understand the concepts of random variables and the probability function
7. Be familiar with some probability distributions
8. Determine the interval estimation of the population parameters
9. Understand testing statistical hypotheses for the population parameters

Course Description

Presentation and interpretation of data, elementary probability concepts, random variables and probability distribution, binomial, Poisson, exponential, normal random variables. Simple linear regressions. Application to engineering problems. The laboratory session will be devoted to problem solving using statistical software.

Course Outline

Lecture

1. Presentation and interpretation of the data, measures of central tendency and dispersion – (6 hrs(
2. Simple linear regression with applications – (5 hrs(
3. The elementary probability concepts – (3 hr)
4. The random variables and the probability distribution functions and their characteristics (Expectations, Variation, moments) – (9 hrs(
5. Some probability distribution (Binomial, Poisson, Exponential) – (9 hr)
6. Interval estimation of the population parameters – (9 hrs(
7. Testing statistical hypotheses for the population mean and variance – (9 hrs(

Laboratory

1. Engineering statistics applications using computer commercial packages.

References:

[1] Ronald Walpole, Raymond Myers, Sharon Myers, and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th ed., Prentice Hall, 2006 (or later). [View PDF]
[2] ELEN E4810 - Summer 2014: DIGITAL SIGNAL PROCESSING COURSE, Columbia University

Evaluation

The total course marks are 100 marks. divided in the following manner
10% Homework, take an average of the total number of homeworks
10% Attendance.
10% Quizzes, two quizzes
30% Midterm exam
40% final exam.

Slides

Chapter 1: Introduction and Definitions (2 sessions) [PPT]
Chapter 1: Measures of Tendency (2 sessions) [PPT]

Chapter 2: Events and Counting Techniques [PPT]
Chapter 2: Probability [PPT]

Chapter 3: Random Variables and Prob. Distributions [PPT]
Chapter 4: Expected Value of Random Variable [PPT]