Download ENGR 212 – Introduction to Probability and Statistics

ENGR 212 – Introduction to Probability and Statistics
Required for BSIE
Course (catalog) description
This is a basic study of probability and statistical theory with emphasis on engineering
applications. Students become knowledgeable of the collection, processing, analysis,
and interpretation of numerical data. They learn the basic concepts of probability theory
and statistical inference, and become aware of techniques of statistical design.
.
Prerequisite(s): MATH 134; ENGR 110
Required Materials:
Text:
Probability & Statistics For Engineers and Scientists, Walpole &
Myers, Seventh Edition
Course Outcomes:
ENGR 212 Course Outcomes
Assessment
1. Determine measure of central tendency
and variation from a data set, and estimate
population parameters.
2. Identify the distribution of a random
variable (discrete or continuous) of interest
in an experiment, and calculate the
probability that the random variable can
take on certain values.
3. Conduct hypothesis testing and
construct confidence intervals for the
population mean, variance, or proportion
(one sample and two samples).
4. Apply the principles of linear regression
to predict the outcomes of certain
experiment parameters.
Topics covered
1.
2.
3.
4.
5.
6.
7.
8.
Measures of Central Tendency and Variability
Set Theory
Probability of an Event
Conditional Probability
Bayes’ Rule
Random Variables
Discrete and Continuous Distributions
Joint Probability Distributions
9. Mathematical Expectations
10. Binomial Probability Distribution
11. Poisson Probability Distribution
12. Hypergeometric Probability Distribution
13. Normal Probability Distribution
14. Normal Approximation of Binomial
15. Exponential Probability Distribution
16. Weibull Distribution
17. Central Limit Theory
18. X2 - Distribution
19. T – Distribution
20. F – Distribution
21. Estimation of Means & Difference of Means
22. Estimation of Proportions & Difference of Proportions
23. Estimation of Variances & Ratio of Variances
24. Hypothesis Testing
25. Test on Means & Difference of Means
26. Test on Proportions & difference of Proportions
27. Test on Variances & Ratio of Variances
28. Goodness of Fit Test
29. Linear Regression
30. Inference on Linear Regression Parameters
Class/laboratory schedule: Three 50-minute sessions per week
Contribution of course to meeting the professional component: 3 credits
Relationship of course to program outcomes:
Outcomes
Component/Assessment
a. an ability to apply knowledge of
mathematics, science, and engineering
b. an ability to design and conduct
experiments, as well as to analyze and
interpret data
k. an ability to use the techniques,
skills, and modern engineering tools
necessary for engineering practice
P2. an ability to code and utilize
programming languages and software
relevant to industrial engineering
Prepared by: Abe Kamal
Date: July 30, 2004
WESTERN NEW ENGLAND COLLEGE
SCHOOL OF ENGINEERING
COURSE POLICIES
Course Code and Section: ENGR 212
Course Title: Introduction to Probability and Statistics
Class Meeting Time: M/W/F 12:00 p.m.-12:50 p.m.
Semester: Fall 2004
Instructor:
Abe H. Kamal, Ph.D.
Office: Sleith 211
Phone: 782-1492 (E-mail: [email protected])
Office Hours: Monday through Friday (9:30 –11:30) or by appointment
Required Materials: Probability and Statistics for Engineers and Scientists by Walpole
and Myrers; Seventh Edition
Prerequisite: ENGR 212
Course Description
This is a basic study of probability and statistical theory with emphasis on engineering
applications. Students become knowledgeable of the collection, processing, analysis,
and interpretation of numerical data. They learn the basic concepts of probability theory
and statistical inference, and become aware of techniques of statistical design.
Course Outcomes
1)
Determine measures of central tendency and variation from a data set, and
estimate population parameters.
2)
Identify the distribution of a random variable (discrete or continuous) of interest in
an experiment, and calculate the probability that the random variable can take on
certain values.
3)
Conduct hypothesis testing and construct confidence intervals for the population
mean, variance, or proportion (one sample and two samples).
4)
Apply the principles of linear regression to predict the outcomes of certain
experiment parameters.
ASSESSMENT
Students will be evaluated on their performance through homework assignments,
quizzes, examinations, and projects. Work will ordinarily be available for student
review within one (1) class period of submission. All hour examinations and
quizzes are closed book. Students will be allowed to use a formula card
(recipe card) for each examination.
REQUIREMENTS
A. Assignments and Examinations
The written work for the course will consist of daily homework assignments,
two one-hour examinations, three 15-minutes unannounced quizzes, and a
two-hour comprehensive final examination. Each student is responsible
for his or her own work. The attached Course Syllabus delineates the
material that will be covered during each class session. The syllabus is
subject to minor changes pending unforeseen class cancellations (i.e.,
inclement weather).
B. Attendance and Assignments
Students are expected to:
1. Be punctual and attend all class sessions;
2. Complete all assigned homework which will be collected and graded;
3. Take all two-hour exams, four quizzes, and the scheduled final
examination; and,
4. Satisfy the reading requirements for all assigned chapters.
C.
Policy
1. Non achievement in ANY of the above two (2) requirements
delineated above is grounds for course failure;
2. Missed lectures, examinations, or quizzes will NOT be made up;
3. Students are responsible for the material contained in the text as well
as for all other material discussed class;
4. Assignments will be collected at random intervals.
METHODOLOGY
Lecture, discussion, and problem solving.
GRADING
FINAL GRADE
The following course requirements are weighted as follows:
1. Assignments
10%
2. Class Participation & Attentiveness
10%*
3. Hour Examinations (2)
2 X 20% = 40%
4. Unannounced quizzes (4)
4 X 5% = 20%
5. Final Examination
20%
*Assistance with problem solving calculations, and involvement in class
discussions.
OTHER
The instructor reserves the right to change course policy and syllabus
as the need arises.
INTEGRITY OF SCHOLARSHIP
The policy of Integrity of Scholarship is stated on page 23 of the
Western New England College 2004-2005 Catalogue. “Honesty in all
academic work is expected of every student. This means giving one’s own
answers in all class work including assignments and examinations
without help from any source not approved by the instructor. Written
material is to be the student’s original composition. Appropriate credit
must be given for outside sources from which ideas, language, or
quotations are derived.” Dishonesty is cause for failure and/or
dismissal.
ABSENCE DICTATED BY RELIGIOUS BELIEFS
Any student who is unable, because of his/her religious beliefs, to attend
classes or to participate in any examination, study, or work requirement on
a particular day shall be excused from any such examination or study or
work requirement which he or she may have missed because of such
absence on any particular day; provided, however, that such makeup
examination or work shall not create an unreasonable burden upon
school. It is the responsibility of the student to make arrangements
prior to the date of absence for completing the missed work.
AMERICANS WITH DISABILITIES ACT
The Department of Industrial Engineering complies with the Americans With
Disabilities Act in making reasonable accommodations for qualified students with
disabilities. To request academic accommodations, the SDS Office in Deliso G05
can be contacted for information.