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. Measures of Central Tendency and Variability 2. Set Theory 3. Probability of an Event 4. Conditional Probability 5. Bayes’ Rule 6. Random Variables 7. Discrete and Continuous Distributions 8. 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: akamal@wnec.edu) 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.