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Math 279: Statistics and Probability for Engineers
Summer 2018 Course Syllabus

NJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

Course Information

Course Description: This course introduces methods of summarizing and analyzing engineering data and the importance of observing processes over time such as control charts. Descriptive statistics, plots and diagrams are then used to summarize the data. Elements of probability and random variables with their distributions along with mean and variance are taught. All this knowledge is then used as a platform towards covering how to do basic estimation and inference, including confidence intervals and hypothesis testing based on a single sample. Students taking this course cannot receive degree credit for MATH 225,MATH 244, or MATH 333.

Number of Credits: 2

Prerequisites: MATH 112 with a grade of C or better or MATH 133 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 279-011 Professor M. Michal

Office Hours for All Math Instructors: Summer 2018 Office Hours and Emails

Required Textbook:

Title Engineering Statistics
Author Montgomery, et al.
Edition 5th
Publisher John Wiley & Sons, Inc.
ISBN # 978-0321912787

Withdrawal Date: Please see the Summer 2018 Academic Calendar for the last day to withdraw based on the summer session you are registered for.


DMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly.

Grading Policy: The final grade in this course will be determined as follows:

Quizzes 20%
Homework 10%
Midterm Exam 30%
Final Exam 40%

Your final letter grade will be based on the following tentative curve.

A 90 - 100 C 70 - 74
B+ 85 - 89 D 60 - 69
B 80 - 84 F 59 & Below
C+ 75 - 79

Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.

Homework Policy: There will be homework assigned through the course outline and collected at the time of each exam. NO LATE SUBMISSION IS ACCEPTED.

Class Project: A take home project worth 15% of the total final grade will be assigned at the middle of the semester. A period will be assigned in which duration the project must be completed. If the project is not completed during the assigned period the credit will be forfeited.

Exams: There will be two midterm exams held during the semester and one comprehensive common final exam. Exams are held on the following days:

Midterm Exam Lecture 8
Final Exam June 25, 2018

Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:

Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Room G11 (Summer Hours: TBA)

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT. If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at The office is located in Fenster Hall Room 260.  For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

Important Dates (See: Summer 2018 Academic Calendar, Registrar)

Date Event
May 21, 2018 First Day of Classes
May 22, 2018 Last Day to Add/Drop Classes
May 28, 2018 University Closed for Memorial Day
June 25, 2018 Last Day of First Summer Session
July 4, 2018 University Closed for Independence Day
July 16, 2018 Last Day of Middle Summer Session
August 6, 2018 Last Day of Full and Second Summer Sessions

Course Outline

Lecture Sections Topic Assignment
1 2.1–2.2 Data summary, Stem-and- Leaf Diagram, Box Plots Page 28 #2.1, 2.3, 2.4* (no dot plots), Page 33 #2.15*, 2.21* (median and quantiles only), 2.25*
2 2.3-2.4 Histograms, Box Plots Construct a histogram and a box plot for the data in 2.21*
3 3.1,3.2, 3.3 Random Variables, and Probability Page 61 #3.1-3.7, Page 65 #3.11*, 3.12, 3,13*, 3.14, 3,16*, 3.17*, 3.18
4 3.7 Discrete Random Variables Page 101 #3.91*(No graph), 3.93* (No graph), 3.94 (No graph), 3.97, 3.98, 3.99, 3.100*
5 3.8 Binomial Distribution Page 108 #3.103*, 3.106*, 3.113
6 3.4 Continuous Random Variables Page 72 #3.23, 3.24*
7 3.9.1 Poisson Distribution and review for Midterm Page 117 #3.121, 3.123*, 3.130
8 Midterm Exam
9 3.9.2 Exponential Distribution Page 118 #3.136*, 3.137
10 3.5.1, 3.13 Normal Distribution, Random Samples, Statistics, and The Central Limit Theorem Page 90 # 3.38*, 3.41*, 3.43, 3.45, 3.47, 3.50*
Page 140 #3.195, 3.197, 3.199, 3.200*, 3.203, 3.204*
11 4.4.5, 4.5.3 Confidence Intervals, Choice of Sample Size Page 186 #4.40 (Part d), 4.41* (Part d),            4.63* (Part d)
12 4.3 Type I and Type II Error Page 168 #4.15, 4.17*, 4.19
13 4.3, 4.4, 4.5 Intro to Hypothesis Testing on the Mean Page 185 #4.37(Parts a (use rejection region), b, d), 4.38* (Part a (use rejection regions AND P-value), and part e), 4.40a (use rejection regions AND P-value)
Inference on the Mean, Variance Unknown Page 197 # 4.54* (Part a), 4.55 (Part a), 4.57 (Part a)
14 4.7 Tests on a Population Proportion Page 214 # 4.75*(Parts a, c, d, f)
15 Review for Final Exam
16 Final Exam

Updated by Professor M. Michal - 5/22/2018
Department of Mathematical Sciences Course Syllabus, Summer 2018