Welcome to the Course Page of

MATH 2030 3.00 A

Elementary Probability

Summer 2014

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Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario M3J 1P3

Course Organization:


Course Information

Course Schedule


Exams Information

Links & Other Resources


This area will contain announcements and solutions to assignments and tests. Announcements made in class will be posted here in reverse chronological order and will not be repeated in class. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.


June 30:

Please  click here  to see your final exam mark and unofficial


letter grade for the course. Please also note that your official


grade for the course will be available by the Registrar's


Office upon the faculty approval.



June 17:

I am making available your percentage grade for Test #2.


As it was announced earlier, you can pick up your graded test paper


from my office, S512 Ross, on Wednesday, June 18 between 12 and


13:30 or between 17:30 and 18:30.

June 15:

As it was announced in the last class, the Final Examination


for the course will take place on Friday, June 20, from 19:00


to 22:00 in CLH D.


The exam will be comprehensive, covering the entire course material


that we covered in class from Appendix 1, Sections 1.1-1.6, 2.1, 2.2


2.4, 2.5, 3.1-3.6, 4.1, 4.4, 4.5 and 6.4 of the textbook according to


the Course Schedule, but with an emphasis on more recent material


covered after the second test. On the exam you will be allowed to use


a non-programmable, single-line scientific calculator and provided


with the following formula sheet. There will be several questions, some


with a few parts. Marks for each question will be indicated. You will


have to show all your work, and you should explain your solutions


where appropriate. Unofficial final grades for the course will hopefully


be posted by Monday, June 30.


Please also note that I will be holding an additional office hour for


last minute questions on Wednesday, June 18 from 17:30 to 18:30.


I am making available  solutions  to Homework problems from


Sections 2.4 and 3.5.

June 14:

Homework problems for Section 6.4:


# 1; 2(b),(c); 4; 5; 6; 7; 12; 14.

June 11:

As it was promised in the class yesterday, I am making available


solutions  to Test #2 questions. The graded test papers will hopefully


be ready to pick up from my office on Wednesday, June 18.


I am also making available formula sheet for the Final Examination.

June 08:

I am making available solutions to Homework problems from Sections


3.2 and 3.3.

June 05:

As it was announced in the class today, we will write Test #2 in


the Lecture Room, CLH C, during the first half of the class on


Tuesday, June 10. On the test you will be responsible for all the


material covered in class from Sections 2.1, 2.2, 2.5, 3.1, 3.2,


3.3, 3.6, 4.1, 4.4 and 4.5 of the textbook.


Also, according to your request, I am making available


Part V of Professor Salisbury’s Lecture Notes.


Homework problems for Sections 2.4, 3.4, 3.5 and 4.2:


Section 2.4: # 5; 6(a),(b); 7(a),(b),(c),(d),(f);


Section 3.4: # 5; 8;


Section 3.5: # 4; 9; 10; 11;


Section 4.2: # 1; 4.

June 04:

I am making available solutions to Homework problems from Sections


2.2, 4.4 and 4.5.

June 03:

Please note that the S1 Summer 2014 course evaluations are available


On-line at the URL link: http://courseevaluations.yorku.ca until June 16,


2014. It is the time for you to be the judge. Please go on-line and complete


the course evaluation.


Homework problems for Sections 3.2, 4.1 and 3.3:


Section 3.2: # 5; 8; 11; 13(a),(b),(c),(e); 14;


Section 4.1: # 3(e); 4(a),(b),(c); 9;


Section 3.3: # 2, 3, 5, 17, 20, 23.


I am making available  Part IV  of Professor Salisbury’s Lecture Notes.

June 02:

I am making available the Math Lab Schedule for the week of June 2nd.

May 28:

Homework problems for Sections 2.1, 2.2 and 4.4:


Section 2.1: # 2, 6, 7;


Section 2.2: # 6, 8, 9, 12;


Section 4.4: # 4; 10(b).

May 26:

I am making available a scanned copy of the solutions to Test #1 questions.


Please also note that the graded test papers will hopefully be returned in the


class on Thursday, May 29.

May 23:

I am making available the Math Lab Schedule for the week of May26th.


Please also note that along with Mark, Victor is another TA in the Math


Lab responsible for MATH 2030.

May 21:

As it was promised in the class yesterday, I am making available previous


year’s Test #1 with solutions as well as  Part III  of Professor Salisbury’s


Lecture Notes.

May 20:

Please note that we will write Test #1 at the first half of the class


on Thursday, May 22 in two class rooms, as follows:


- family name starting with A - L: CLH C;


- family name starting with M - Z: CLH J.


On the test you will be responsible for all the material covered in class


from Sections 1.1, 1.3, 1.4, 1.5, 1.6 and Appendix 1 of the textbook.


On the test you will also be responsible for the material that we are


going to finish covering in the class today on:


Representing discrete and continuous distributions (Section 3.1, pages


140-141 and Section 4.1, pages 259-271 of the textbook);


Cumulative distribution functions (c.d.f.) and their relation with densities


and discrete distributions (Section 4.5 of the textbook).


Homework problems for Sections 3.1, 4.1 and 4.5:


Section 3.1: # 4; 6; 9; 15(a),(b),(c);


Section 4.1: # 2(a); 3(a),(b),(c),(d); 12(b);


Section 4.5: # 2(a); 5; 6(a),(b),(c).

May 19:

I am making available solutions to Homework problems from


Sections 1.4, 1.5 and 1.6.

May 16:

I am making available solutions to Homework problems from


Appendix 1 and Sections 1.1, 1.3, and the Schedule of the Math Lab


for the week of May19th.



May 15:

I am making available  Part II  of Professor Salisbury’s Lecture Notes.


The URL for MATH 2030 PASS Facebook group is:



May 14:

As it was promised in the class yesterday, I am making available Part I


of Professor Salisbury’s Lecture Notes.


Please also take a note that the class representative’s e-mail address is:



May 11:

Please note that Tutorials for the course will be done in the Math Lab,


S525 Ross Building. I am making available Temporary Schedule of


the Math Lab for the week of May12th. Please also note that Mark will


be a TA in the Math Lab responsible for MATH 2030.

May 06:

Welcome back!


To view and/or print PDF files you need to download the free Acrobat Reader  Description: C:\Users\raguimov\Desktop\getacro.gif


Homework problems for Chapter 1 and Appendix 1:


Section 1.1: # 2, 3, 7;


Section 1.2: #2, 3;


Section 1.3: # 4, 5, 6, 9, 10;


Appendix 1: # vii, viii, x, xi, xii, xiii;


Section 1.4: # 4, 5, 6, 7, 8, 12;


Section 1.6: # 4, 6, 7, 8;


Section 1.5: # 2, 3, 5 (a)-(d).


Course Information:


Term and Session:

S1 2014





Lectures (day, time and venue):

T/R 18:0-21:00, CLH C



Dr. Iouldouz Raguimov



S512 Ross






N520 Ross



416-736-2100, EXT. 66092


Office Hours:

T 12:00-13:00, W 17:30-18:30



Math Lab Schedule after June 9


Two Tests:



Final Examination:


Course Description: Introduction to the theory of probability as preparation for further study in both mathematical or applied probability and statistics. Topics include probability spaces, conditional probability, independence, random variables, distribution functions, expectations, Chebyshev's inequality, common distributions, moment-generating functions, laws of large numbers and limit theorems.

This course provides an introduction to the theory of probability. It covers the mathematics used to calculate probabilities and expectations, and discusses how random variables can be used to pose and answer interesting problems arising in nature. It is required for most programs in Mathematics and Statistics, or in Computer Science. Subsequent courses that use the material covered include mathematical statistics, operations research, mathematical finance, stochastic processes as well as advanced courses in probability.

For a more detailed list of topics with references to the textbook, please see Course Schedule.


Probability, First Edition

by Jim Pitman


Springer-Verlag, 1993. ISBN 0-387-97974-3

Course Prerequisites:

One of SC/MATH 1010 3.00, SC/MATH 1014 3.00 or SC/MATH 1310 3.00.

Degree Credit Exclusions:


Important Dates:

May 06: Classes commence

May 09: Last date to enrol in the course without my permission

May 16: Last date to enrol in the course with my permission

May 30: Last date to drop the course without receiving a final grade

June 16: Classes end

June 18-20: Final Examination, TBA.

Course Schedule:
(subject to any changes announced in class)




May 05-09

1.1-1.3, Appendix 1, 1.4

Lectures commence on Tuesday, May 06.

May 12-16

1.6, 1.5, 3.1, 4.1, 4.5

May 19-23

2.1, 2.2, 3.2, Test #1

Test #1 will take place on Thursday, May 22.

May 26- 30

4.4, 3.3, 3.4, 2.5, 3.6

June 02-06

3.1, 3.3, 2.4, 3.5

June 09-13

3.1, Test #2, 6.4, Review

Test #2 will take place on Tuesday, June 10.
Classes end on Monday, June 16.

June 18-20

Final Examination:


Note 1: Not all topics of the sections above will be covered and it is not necessary that we will cover the topics in the same order as the textbook presents them.
Note 2: It is recommended to read the relevant sections of the textbook before every lecture.


Throughout the term, homework problems will be posted to the Announcements section of the course web page. In order to develop your understanding of the course material you must do all assigned problems. These will not be collected for grading and hence will not directly affect your grade. However, it is extremely important that you complete all assigned exercises. Do not memorize them. Rather, learn how to solve problems like them. Learning Mathematics is not a spectacular sport, it is a participatory event. There is nothing like a bit of computation to strengthen understanding in mathematics! Use the Solutions Manual only after you have tried the problem. Solutions to typical homework problems will be posted to the course web page. Successful students must keep up with homework and seek help for points they do not understand as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the textbook before every class. Next to the classes, working out the answers to the problems is the most important preparation for the tests and exam that will contain for the most part but not exclusively, questions very similar to those from the textbook. It is quite practical to work on your own or together in small groups. Each student should do at least two hours of independent study for every lecture hour. The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend working on problems.


Exams Information:

Lecture/Test Rules:

Please turn off all cell phones, iphones, ipods, ipads and pagers before entering the lecture hall. For the tests and exam cell phones, iphones, ipods, ipads, calculators, digital dictionaries, palms, pagers or any other internet connected devices are NOT allowed. All such devices as well as all books, papers, knapsacks and briefcases must be left at the front of the lecture hall. Anyone caught with electronic devices will be charged with Academic Dishonesty (see the next page). The only items you may have at your seat are pens, pencils, student ID and purses. You are responsible for all material covered in lectures.
Note: Photo identification and signing-in are required at all tests and exam.

Final Grade:

The official grades at York University are LETTER grades. Qualitative descriptions of these grades and their corresponding grade points can be found at this link. Your test marks will be on a numerical scale because these have to be weighted and averaged in various ways, but THERE IS NO AUTOMATIC PREDETERMINED CORRELATIONS BETWEEN NUMERICAL GRADES AND LETTER GRADES in this course. In particular, the "numerical" grades you receive are NOT to be interpreted as percentages; they are merely 'raw scores'. Once the tests are returned in class, the distribution of 'raw scores' will be announced along with their approximate conversion to letter grades. The median letter grade for the course will likely fall between C and C+.
The composition of the final grade is as follows:
Two tests (75 minutes each, written tests held in lecture periods): 25%+20% of the overall grade (Tentative dates for the tests: Thursday, May 22 and Tuesday, June 10, 2014).
Final examination
(3-hour exam scheduled by the Registar's Office): 55% of the overall grade, will take place during the examination period between June 18 and 20, 2014.
Students have five days from the date of the return of test papers to appeal their marks. Some test papers (randomly selected) are photocopied before they are handed back, so we can detect subsequent alterations.

Make-up Policy:

No permission will be given to a student to write the tests in advance of their scheduled dates. No make-ups will be done for the tests. A missed test will be counted as zero, except under extreme circumstances in which case the corresponding percentage of the overall grade will be "forwarded" to the final exam. If you miss a test for medical reasons, you must turn in within one week following the test date the Attending Physician's Statement form provided  here  after getting it filled in by your doctor. No other type of medical note will be accepted. However, missing tests is extremely dangerous and not recommended. As experience has shown, students who miss class tests because of some 'mysterious illnesses' will usually average 30% on the final exam. A student who misses the final examination will be allowed to write a make-up exam only if both of the following conditions are met:
1) the student notifies me (raguimov@mathstat.yorku.ca) or the Department of Mathematics and Statistics (Undergraduate Office, N502/503 Ross Building, 416-736-2100 416-736-2100, Ext. 55902 or 33969) in advance that the exam will be missed,
2) the student submits within one week following the exam date the Attending Physician's Statement form provided  here  after getting it filled in by his/her doctor.
Students who miss the final examination and do not meet both conditions will receive a grade of F. It is student's responsibility to fill out and submit the Deferred Standing Agreement Form.
Note: Do not make vacation/job plan until the final exam date is known: having a plane ticket for Banff or Hawaii on June 15 is NOT a legitimate excuse for absence from a final examination on June 20.

Religious Observance:

York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the dates specified in the course schedule for in the tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first two weeks of classes. Please note that if the final exam date poses a conflict, students must complete the Examination Accommodation Form, which can be obtained from the Registrar’s Office.

Academic Honesty:

Students are responsible for familiarizing themselves with University Policies and Regulations. Conduct that violates the ethical or legal standards of the university community or of one’s programme or specialization may result in serious consequences. Refer to the Senate Policy on Academic Honesty.


Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments or HTML-formatted mail. No texting, please. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail. The course web page will be up-dated regularly to include important announcements made in class, such as the material to be covered on the exams and quizzes. Email notes requesting such information contained on the web page will be answered the last.

Links and Other Resources:

1- York Undergraduate Mathematics Program
2- York University Library
3- Online Forum
4- How To Write Proofs
5- Local time in Toronto

Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca

© 2003-2014, All Rights Reserved, York University & Iouldouz S.Raguimov

Last updated June 30, 2014