# Math 333: Probability and StatisticsSummer 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: Descriptive statistics and statistical inference. Topics include discrete and continuous distributions of random variables, statistical inference for the mean and variance of populations, and graphical analysis of data.

Number of Credits: 3

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 333-041 Professor M. Michal
Math 333-141 Professor A. Ionescu

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

Required Textbook:

 Title Applied Statistics and Probability for Engineers Author Montgomery and Runger Edition 6th Publisher John Wiley & Sons ISBN # ISBN Notes 978-1118963548 (Custom Ed. Bundled w/ WileyPlus) 978-1118470688 (Standalone WileyPlus Reg. Card)

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

## Course Goals

Course Objectives: The objective of this course is to acquaint students with probability, descriptive statistics and statistical inference and demonstrate real world applications using examples drawn from various fields.

### Course Outcomes

• Demonstrate understanding of various statistical terms and methods for summarizing, organizing, and presenting data.
• Compute measures of central tendency, position, and variability and interpret them.
• Describe sample space and events and demonstrate their knowledge of various counting techniques, notions of probability, random variables and various discrete and continuous probability distributions.
• Demonstrate conceptual understanding of sampling distributions and the central limit theorem.
• Perform statistical analysis, such as estimation, hypothesis testing, regression, and draw conclusions.

Course Assessment: The assessment tools used will include weekly homework assignments/quizzes, one midterm exam and a final exam.

## Policies

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:

 Projects and Quizzes 30% Common Midterm Exam 30% Final Exam 40%

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

 A 90 - 100 C 65 - 74 B+ 85 - 89 D 55 - 64 B 80 - 84 F 0 - 54 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 and Quiz Policy: Weekly Homework will be assigned from textbook and additional sources. Additionally, Quizzes and projects will be given in class.

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

 Common Midterm Exam June 20, 2018 Final Exam July 17, 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.

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 lyles@njit.edu. 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

Week + Dates Section Topic Suggested Problems
Week 1
5/21-5/25
6.1-6.3 Descriptive Statistics: Stem-and-leaf, Histograms, Mean, Median 6.8, 6.14, 6.32*, 6.36*, 6.44*
6.1, 6.4 Variance and Standard Deviation, Boxplot 6.46*, 6.48*, 6.49*, 6.69, 6.74, 6.79, 6.80
2.1-2.3 Probability: Sample Space, Events, Interpretations of Probability, and Addition Rules 2.36*, 2.41, 2.42, 2.45, 2.47ab*, 2.58*, 2.60a*, 2.67, 2.70, 2.71, 2.76, 2.84, 2.86*
Week 2
5/28-6/1
2.4-2.6 Conditional Probability, Multiplication and Total Probability Rules, and Independent Events 2.99*, 2.100, 2.102, 2.105, 2.106, 2.107*, 2.108, 2.124*, 2.126, 2.128, 2.142*, 2.145, 2.146, 2.148, 2.149, 2.150*, 2.156, 2.208
2.7 Bayes’ Theorem 2.166, 2.170, 2.172, 2.173, 2.185*, 2.220*
3.1-3.3 Discrete Random Variables: Probability Mass Function, Cumulative Distribution Function 3.16*, 3.18*, 3.24, 3.25, 3.30, 3.39, 3.40*, 3.45, 3.50*, 3.51, 3.197, 3.201
Week 3
6/4-6/8
3.4-3.5 Mean and Variance of a Discrete Random Variable, Discrete Uniform Distribution 3.58*, 3.60*, 3.62, 3.64, 3.78*, 3.81, 3.83, 3.175*
3.6-3.9 Binomial, Geometric, and Poisson Distributions 3.95*, 3.100*, 3.102*, 3.103, 3.106, 3.119, 3.120*, 3.123, 3.198, 3.160*, 3.163, 3.167, 3.168, 3.190*, 3.192
4.1-4.3 Continuous Random Variables: PDF and CDF 4.1*, 4.2*, 4.6, 4.8, 4.10*, 4.17*, 4.18, 4.19*, 4.29
Week 4
6/11-6/15
4.4-4.5 Mean and Variance of a Continuous Random Variable, Continuous Uniform Distribution 4.35*, 4.36, 4.38, 4.39*, 4.52*, 4.53, 4.54, 4.56
4.6-48 Exponential Distribution, Normal Distribution, and Normal Approximation to Binomial and Poisson Distributions 4.63*, 4.66, 4.72*, 4.78*, 4.103, 4.116ab*, 4.117, 4.119*, 4.121*, 4.125, 4.126, 4.132,
7.1-7.2 Point Estimation, Sampling Distributions, and the Central Limit Theorem 7.5*, 7.7*, 7.8, 7.12*
Week 5
6/18-6/22
Review for Midterm
Midterm
8.1 Confidence Interval on the Mean of a Normal Distribution- Variance Known 8.10*, 8.11*, 8.12*
Week 6
6/25-6/29
8.2 Confidence Interval on the Mean of a Normal Distribution- Variance Unknown 8.26*, 8.31*, 8.38bc,
8.3 Confidence Intervals on the Variance and Standard Deviation of a Normal Distribution 8.48, 8.49*, 8.50*, 8.51*
8.4 Large Sample Confidence Interval for a Population Proportion 8.60*, 8.61*, 8.64
Week 7
7/2-7/6
9.1-9.2, 9.4 Hypothesis Testing Basics and Hypothesis Tests on the Mean of a Normal Distribution 9.31, 9.32, 9.35, 9.36, 9.37
Independence Day – No Class Today
9.1-9.2, 9.4 Hypothesis Testing Basics and Hypothesis Tests on the Mean of a Normal Distribution 9.15*, 9.43*, 9.47*, 9.48*, 9.49*
Week 8
7/9-7/13
9.3.1, 9.5 Small Sample Tests on the Mean, Test on a Population Proportion 9.53*, 9.55*, 9.63a, 9.64a, 9.92*, 9.93*, 9.94, 9.95
10.1, 10.4 Tests on the Difference in the Means of Two Normal Distributions Paired t-test 10.1ab*, 10.2ab, 10.3ab, 10.6ab, 10.7ab, 10.53*, 10.54*, 10.55
11.2 Simple Linear Regression 11.1ab, 11.2 ab*, 11.8ab*
Week 9
7/16-7/20
Review for Final Exam
Final Exam

Updated by Professor M. Michal - 5/21/2018
Department of Mathematical Sciences Course Syllabus, Summer 2018