NJIT HONOR CODE

All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces it strictly.  This means 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 Honor Code, students are obligated to report any such activities to the Instructor.
 

Mathematics 333-006:
Probability and Statistics

Spring 2004

 

Monday, Thursday:  KUPF 104, 1:00 PM – 2:25 PM

 

 

v     Instructor:  Sunil Dhar

v     Office:  327 Cullimore Hall

v     Phone:  973-596-3488

v     Email:  dhar@njit.edu

v     Office Hours:      Tuesday and Wednesday, 5:00 PM to 6:00 PM
                              Thursday 10:15 AM to 11:15 AM

 

 

Textbook:  Jay L. Devore, Probability and Statistics for Engineering and the Sciences, 6th Edition, Duxbury, Boston, 2002 (Custom Edition)

 

Software:  StataQuest for Windows, Wadsworth, Belmont, CA, 1996; Microsoft Excel with Data Analysis Add-in; Webstat (Web-based JAVA applets for statistical computing) http://www.statcrunch.com/

Grading Policy: 

 

v     Common Homework and Quizzes:               20%

v     Two Common Exams 25% each=:                  50%

v     Common Final Exam:                                       30%

 

Weekly Course Material

Class
Week of

Topics

Sections

1/20

Descriptive statistics: stem-and-leaf, histograms,
mean, median, variance and standard deviation, boxplots

1.1 - 1.4

1/27

Probability: sample space, events, properties of probability

2.1 - 2.2

2/3

Counting: basic, permutations and combinations, Conditional probability

2.3 - 2.4

2/10

Bayes' theorem, independence

2.4 - 2.5

2/17

Discrete random variables: pmf, probability histogram and cdf, mean and variance, Binomial distribution 

3.1 - 3.3,
3.4

 

1st Common Exam: Wednesday, February 25, 2004

 

2/24

Poisson random variables, its approximation to binomial; Continuous random variables: pdf and cdf, percentiles, expected values and variance, standard deviation 

3.6,
4.1 - 4.2 

3/2

Normal distribution; probability plots 

4.3, 4.6

3/9

Exponential distribution, "memoryless" property

4.4

 

March 15  to March 21, 2004, Spring break

 

3/23

Distribution of the sample mean and total, the central limit theorem, normality of linear combination and its probability

5.3 - 5.5

 

Monday, March 29, 2004, Last Day to Withdraw from Course(s)

 

 

 

 

 

2nd Common Exam: Wednesday, March 31, 2004

 

 

 

 

3/30

Large sample confidence interval estimation for mean and proportion using equation (7.11) only sample size also based on (7.11)

7.1 - 7.2

 

 

 

4/6 

Interval estimation for normal population means (small sample), variance and standard deviation; NO tolerance interval; NO prediction interval

7.3, 7.4

 

 

 

4/13

Tests of hypothesis: Type I and II error

8.1

 

 

 

4/20

Tests for the mean and proportion (large sample); small sample tests for the mean 

8.2 - 8.3

 

 

 

4/27

p-values; two-sample confidence intervals and tests for the means (equal and unequal variances) and proportions.
Simple linear regression: estimation -if time permits

8.4,
9.1 - 9.4

 

 

 

 

Computing Information: 

Some homework requires that students demonstrate the skill to use statistical software.  Among the software available to the students are STATAQUEST which is bundled with your text book.  It may be available on PCs in computing center below the parking deck and the Learning Center computing laboratory (University 201).  All the homework exercises that require the use of a statistical software can be answered using STATAQUEST. If you do not wish to use STATAQUEST, you can use the Data Analysis tools of Microsoft Excel, which is an Add-in in Excel.  This tool in Excel is available on all PC labs on campus.  You could also use the Web-based statistical software WEBSTAT (http://www.statcrunch.com/ ).  The data for the textbook problems are in the ASCII directory in the CD that comes with your book.  You will have to get these data files into STATAQUEST with the commands File and then Import ASCII. Data sets can be hand typed directly in to the StataQuest Editor in case the Import ASCII command does not work. 

Graphs in StataQuest are printed using Print Graph command from the File menu. Graphs can also be cut and pasted into Microsoft Word. In order to print a stem-and-leaf or text from the "Stata Results" window, (i) copy and paste output on to an editor such as Note pad, Word, etc. and then print from the word processor; or (ii) create a LOG FILE by using the "Log" button and a file name for the log and the printing the file file.log using the command PrintLog from the File menu.  Graphs created in Excel can be printed directly.  WebStat has an online help for saving and printing the output.

 

 Grading Policy:

Weekly homework problems from your textbook will be assigned. Some of these assignments may require the use of statistical software for their solution. You must work out not only these problems but also practice similar problems and learn the techniques needed to solve them. The assigned problems will be posted on the web at the address to be announced and also written on the board in class.
Every week you will have either a quiz (5-10 minutes) or you will be handing in your homework. The quiz will test your knowledge on the material covered in class and the corresponding assigned homework. Your ten best Homework/Quiz scores will be selected (20% of your final grade).

There are two common exams for all Math 333 sections and will represent 50% of the final grade. These exams are scheduled for Wednesdays, February 25 and March 31, from 4:15-5:40 (day students must hand in their exams and wait in class for the last ten minutes) (5:45-7:10 for night sections). The final exam is also common with other Math 333 sections and it represents 30% of your grade. You will be given a formula sheet to use during the tests and exams.

 

Class Rules, Department and University Policies:

Please note that all the rules noted below is for the proper running of our course. Please cooperate with instructors to help implement these rules.

Please see University's Undergraduate attendance policy:  Attendance is mandatory for Freshmen and Sophomores.

v     Please see Mathematical Science Exam policy

v     Only simple calculators are allowed, which cannot store formulas or notes, e.g. graphic calculators are not allowed.

Free Tutor Assistance Available:

The Math Learning Center-Kupfrian 100-current schedule: The following statistics graduate students can help you with Math 333 problems.

 

 

DAY

10 am–1:30 am

11:30 am–1 :00 pm

1:00 pm–2:30 pm

2:30 pm–4 pm

Monday

 

Lahiri

Lahiri
Panayotava

Tin

Tuesday

Tin

Tin

Lahiri

Lahiri

Wednesday

 

Lahiri

 

 

Thursday

Tin

Tin

 

 

 

 

 

Class Policies:

Attendance and Participation:  Students must attend all classes. Absences from class will inhibit your ability to fully participate in class discussions and problem solving sessions and, therefore, affect your grade. Tardiness to class is very disruptive to the instructor and students and will not be tolerated.

Makeup Exam Policy: There will be no makeup exams, except in rare situations where the student has a legitimate reason for missing an exam, including illness, death in the family, accident, requirement to appear in court, etc. The student must notify the Math office and the Instructor that he/she will miss an exam. In all cases, the student must present proof for missing the exam, e.g., a doctor's note, police report, court notice, etc., clearly stating the date AND times.

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