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 333-002:
probability and statistics
Spring 2007
Instructor: Prof. Dhar
Textbook: Applied
Statistics and Probability for Engineers (4th
Edition) by Douglas C. Montgomery and George C. Runger; Publisher: John Wiley & Sons © 2007 (Custom
Edition); ISBN:
0-471-74589-1
Software: To
do your homework you can use Data Analysis tools from 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 statcrunch
(http://www.statcrunch.com/).
Grading
Policy: The final grade in this course will be determined as
follows:
|
☑ Homework + Quizzes: |
|
20% |
|
☑ 2 Common Exams: |
|
25%
each |
|
☑ Final Exam: |
|
30% |
Please
note that the University Drop Date March
26, 2007
deadline will be strictly enforced.
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.
◄ Weekly Course Material ►
|
Class |
Topics |
Sections |
|
| ||
|
01/15/07 |
Role of Statistics; |
1.1, 1.3,
1.4 |
|
01/22/07 |
Probability: sample space, events, interpretations
of probability, |
2.1 -
2.2 |
|
Addition rules and Conditional
probability |
2.3 -
2.4 | |
|
01/29/07 |
Multiplication rules, Bayes' theorem, independence, random
variables |
2.5 -
2.8 |
|
02/05/07 |
Discrete random variables: probability mass
function, probability histogram and cumulative distribution function, mean
and variance, Binomial distribution |
3.1 - 3.6
|
|
02/12/07 |
Geometric distribution, Poisson random variables,
Continuous random variables: pdf and cdf, percentiles, expected values and variance,
standard deviation |
3.7, 3.9
|
|
02/19/07 |
Normal distribution; |
4.6-4.7 |
|
|
Wednesday
~ February
21, 2007: 1st Common Exam | |
|
02/26/07 |
Exponential distribution, "memory-less" property,
probability plots |
4.8,
6.6 |
|
03/05/07 |
Distribution of the sample mean, the central limit
theorem, distribution of the difference of two sample
means |
7.1,
7.2 |
|
03/12/07 |
SPRING
RECESS: March 12-16,
2007
| |
|
03/19/07 |
Confidence interval on the mean of a Normal
distribution |
8.1 -
8.3 |
|
03/26/07 |
Monday ~ March 26, 2007: Last Day to Withdraw from this
Course | |
|
Confidence interval on the variance and standard
deviation of a Normal distribution, large sample confidence interval for a
population proportion; NO tolerance interval; NO prediction
interval |
8.4 –
8.6 | |
|
|
Wednesday ~ March 28,
2007: 2nd Common Exam | |
|
04/02/07 |
Tests of hypothesis: Type I and II error, one-sided
and two-sided hypotheses, P-values |
9.1 |
|
Friday
~ April 6, 2007:
Good
Friday - No
Classes Scheduled | ||
|
04/09/07 |
Tests on the mean of a Normal distribution, Tests
on the variance and standard deviation of a Normal distribution
|
9.2 -
9.4 |
|
04/16/07 |
Tests on the population proportion (large
sample) |
9.5 - 9.6,
|
|
04/23/07 |
Tests on the difference in the means of two Normal
distributions, Paired t-test, Tests on the difference in two population
proportions. |
10.1 -
10.4, |
|
04/30/07 |
Review for
FINAL EXAM | |
|
Tuesday ~ May 1, 2007: Classes Follow a
Friday Schedule | ||
|
| ||
|
FINAL
EXAM WEEK: May
3-9, 2007 | ||
Computing
Information: To
do your homework you can use Data Analysis tools from 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 statcrunch
(http://www.statcrunch.com/).
Homework &
Quiz 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 5-10 minute quiz testing your knowledge on the
material covered in class or you will be posting your corresponding assigned
homework. Your ten best Homework/Quiz scores will be selected for 20%
of your course grade.
Exams:
There
are two common exams for all Math 333 sections and will represent 50%
of your course grade. These exams are scheduled on the following
Wednesdays:
|
Exam
1 |
February
21, 2007 |
|
Exam
2 |
March
28, 2007 |
The time of the midterm exams is 4:15-5:40pm for daytime students and 5:45-7:10pm for evening students. Daytime students must hand in their exams and wait in class for the last ten minutes. The final exam is also common with other Math 333 sections and it represents 30% of your course grade. The Final exam is scheduled during the week of May 3-9, 2007. You will be given a formula sheet to use during the common exams and the final exam.
Class Rules,
Department and University Policies:
Any
complaints regarding grading have to be presented right away after the return of
the homework/quiz/exam. For official record purposes, a certain number of exams
from each section are photocopied and stored before being
returned.
☑
You must remain in
the common exam room for the entire test period (No Exceptions).
☑
Any one arriving
more than 5 minutes after the exam starts will not be allowed in the exam
room.
☑
Please, always
bring a statistics calculator to your quizzes, exams and to all the lectures.
You are not allowed to bring a calculator that has a visual
display.
☑
Looking into your
neighbors’ work during exams is not allowed. Hats, caps, etc., that keep the
eyes hidden from the proctor but not from the neighbors work during exams are
not allowed during the quizzes and exams.
☑
Department policy
recommends that students refresh themselves before the exam starts. You may not
be allowed to refresh yourself during exam hours.
☑
There will be no
make-up exams, quizzes or homework. Late homework is not acceptable. In case of
an extenuating circumstance such as illness, etc., proof that can confirm that
the excuse is genuine must be produced.
☑
Attendance at all
classes and tests is required. Instructors will maintain a detailed record of
your attendance as the administrators need to know the dates you missed
classes.
☑
The use of cell
phones, beepers, etc. is not allowed under any circumstances. During exams, any
sort of communication devices (internet, palm pilot, etc) are not allowed. You
are not allowed to use a cell phone for keeping track of
time.
☑
No eating allowed
during the class and exams periods. You are expected to remain in the classroom
for the entire class period. Wandering in and out of the classroom is not
allowed.
☑
Please see Mathematical
Science Exam
Policy.
☑
Only simple calculators are allowed,
which cannot store formulas or notes.
Free Tutor Assistance
Available:
Cullimore
Suite 211, see more details below. The following
math 333 instructors can help you with
problem solving:
|
DAY |
TIME |
Instructor Room |
|
| ||
|
Monday |
|
|
|
Tuesday |
1:30 pm to 2:30 pm |
Ari Jain 210 D |
|
Thursday |
9:30 am to 10:30 am |
Sunil Dhar 211 B |
|
| ||
Homework for
Week 1 will be collected in Week 2.
Homework for EACH of the Weeks:
Week 2, Week 5, Week 8, and Week 11 MUST be submitted via the internet by
using Wiley Plus, where the respective time periods for submission are also
shown. For each of the other Weeks
(i.e., Weeks: 3, 4, 6, 7, 9, 10, 12, and 13) there will be a QUIZ on the day
announced by the Instructor.
|
Week |
Date |
Chapter |
Assignment |
HW/QUIZ |
|
| ||||
|
Week 1 |
1/16 – 1/19 |
Chapter 6: |
#8, #16,
#28, #38, #52, and #56 |
Collected |
|
Week 2 |
1/22 - 1/26 |
Chapter 2: |
#68, #72,
#76, #81, #84 |
Wiley Plus |
|
Week 3 |
1/29 - 2/2 |
Chapter 2: |
#96, #102,
#108, #116, #122, #144, #154 |
QUIZ |
|
Week 4 |
2/5 - 2/9 |
Chapter 3: |
#10, #18,
#26, #36, #46, #50, #59, #68, #76 |
QUIZ |
|
Week 5 |
2/12 - 2/16 |
Chapter 3: |
#82, #108,
#118; |
Wiley Plus |
|
|
|
Chapter 4: |
#8, #30,
#38 |
|
|
Week 6 |
2/19 - 2/23 |
Chapter 4: |
#46, #54,
#64, #66, #72 |
QUIZ |
|
Week 7 |
2/26 - 3/2 |
Chapter 4: |
#76, #84,
#90, #130; |
QUIZ |
|
|
|
Chapter 6: |
#66, #72,
#94 |
|
|
Week 8 |
3/5 - 3/9 |
Chapter 7: |
#2, #6,
#10 |
Wiley Plus |
|
Week 9 |
3/12 - 3/16 |
◄
SPRING
RECESS: March 12-16,
2007
► | ||
|
Week 10 |
3/19 - 3/23 |
Chapter 8: |
#8, #14,
#26, #30 |
QUIZ |
|
Week 11 |
3/26 – 3/30 |
Chapter 8: |
#42, #46(a,
b & c), #48, #52 |
QUIZ |
|
Week 12 |
4/2 - 4/6 |
Chapter 9: |
#7, #17,
#19, #27 |
Wiley Plus |
|
Week 13 |
4/9 - 4/13 |
Chapter 9: |
#30, #42,
#44, #56, #64, #68 |
QUIZ |
|
Week 14 |
4/16 - 4/20 |
Chapter 9: |
#76, #78,
#82 |
QUIZ |
|
Week 15 |
4/23 - 4/27 |
Chapter 10: |
#2, #10,
#32, #36, #56 |
|
|
Week 16 |
4/30- 5/1 |
|
Study for Final
Exam |
|
|
| ||||
|
Finals |
5/3 - 5/9 |
FINAL
EXAM WEEK: May
3-9, 2007 | ||
Last revised: January 27, 2007
|
January
15 |
M |
MLK
Day – No Classes
Scheduled |
|
March
26 |
M |
Last
Day to Withdraw from Classes |
|
April
6 |
F |
Good
Friday – No Classes
Scheduled |
|
May
1 |
T |
Classes Follow a Friday
Schedule |