stat3502

Probability and Statistics

(Stat 3502 A, Winter 2014)

Instructor: Dr. Masoud Nasari

Office: HP 5250 E-Mail: [email protected]

Phone: 520-2600 ext 1983 https://www.carleton.ca/culearn/

Class Schedule

Class Times: Mondays & Wednesday 10:05 am - 11:25 am Azrieli Theatre 102

Tutorial Times: Section A1: Wednesday 16:35 pm - 17:25 pm Southam Hall 316

Section A2: Wednesday 16:35 pm - 17:25 pm Southam Hall 317



Office Hours: Monday& Wednesday 12:00 pm - 1:00 pm HP 5250

Marking Scheme

Assignments 5 25% total

Midterm 1 25%

Final Exam 1 50%

Text Book

Probability and Statistics for Engineering and Sciences. 8th edition. By Jay L. Devore.

Student Solutions Manual (SSM), by Mathew A. Carlton.

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Stat 3502 A, Winter 2014 Page 2 of 4

Prerequisite

MATH 2004, or MATH 2001 and enrolment in the Faculty of Engineering or B.Sc. pro-grams of the Department of Physics [except Double Honours Mathematics and Physics].

Tentative Schedule(This schedule is subject to change depending on the progress

of the course.)

WEEK SECTIONS TOPICS

Week 1 2.1-2.4 Random experiment, sample space, events, axioms of probability, rules of prob-

ability, counting methods, conditional probability

Week 2 2.5 Conditional probability cont. and independence; Bayes theorem.

Week 3 3.1-3.3 Random variables and discrete probability distributions; probability (mass)

function; distribution function; expected values and variances of discrete ran-

dom variables; rules of expected values and variances.

Week 4 3.4-3.6 Special discrete distributions: binomial, hypergeometric, geometric, negative

binomial, Poisson. Poisson process..

Week 5 4.1-4.3 Continuous random variables and their probability distributions; probability

density function; distribution function; expected values and variances of contin-

uous random variables, normal distribution; normal approximation to discrete

distributions.

Week 6 4.4 Gamma distribution; exponential distribution and its relationship with Poisson

distribution.

Week 7 5.1-5.2 Joint distributions; independent random variables; expected values, covariance,

and correlation.

Week 8 5.3-5.5 Sums of random variables; Central Limit Theorem; statistics and their sam-

pling distributions; distribution of the sample mean; distribution of a linear

combination.

Week 9 6.1-6.2 Point estimation: definition of a point estimator, desirable properties of a point

estimator (unbiasedness, minimum variance, consistency), methods of point

estimation.

Week 10 7.1-7.2 Interval estimation: definition of a confidence interval, interpreting confidence

interval, large-sample confidence intervals, t distribution, small-sample esti-

mation, confidence intervals for the mean of a normal distribution, chi-square

distribution, confidence intervals for the variance of a normal distribution.

Week 11 8.1, 8.4 Statistical hypothesis; null and alternative hypotheses; critical and acceptance

regions; test procedure; type I error; type II error; level of significance; p-value;

power of a test; power function of a test.

Week 12 8.2-8.3, 9.1-

9.2

Tests about population mean; tests for population proportion; two sample tests

about population mean. Z-tests and t-tests.

Week 13 - Additional topics and/or final exam review

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Notes

Withdrawal: The last day for academic withdrawal from the course is April 8,2014 .

Tutorial : Tutorials will start the week of January 20, 2014. You are required toattend all tutorials. TA will present to work out some selected problems, to answer

questions.

Assignment : There will be 5 assignments with specific due dates that will be postedon cuLearn. It is your responsibility to submit your assignment to the TA in your

tutorial session. Only hard copy assignments will be accepted. No electronic submission

such as e-mail submission will be accepted.

Midterm will be a 90-minute close-book exam on Friday, February 28, from6:30pm to 8:00pm . Place TBA in class. No make up, early, or delayed

Midterm ; exceptions will be made in accordance with the university academic ac-

commodation policies (see below). If you miss the midterm test you will receive a zero

unless you provide your instructor with a proper documented reason (e.g., medical)

within one week, in which case the weight of the midterm test will be shifted to the

final exam. The same rule applies to each assignment. It is your responsibility to

pick up your assignments/midterm in the following tutorial hours or class. After that,

TAs and I are not responsible for missing assignment and midterm paper. It is your

responsibility to make sure that your midterm/assignments marks recorded correctly

by visiting cuLearn. Deadline to make any corrections on your midterm/assignments

marks is within one week when you receive them. Students must bring their student

card to midterm and place it on the desk where it is visible.

Final Exam will be 3-hours, closed book exam based on whole term. It is the respon-sibility of each student to be available at the time of the examination. In particular,

no travel plans for the examination period in April, 2014 should be made until the

examination schedule is published. Students wishing to see their examination papers

must make an appointment within three weeks of the examination to do this.

Homework: Selected exercises, mainly from the text, will be posted on cuLearn.These exercises are not to be handed in and will not be graded. However, to succeed in

the course it is ABSOLUTELY ESSENTIAL that you do the exercises on a regular

basis.

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Calculators: Only non-programmable calculators are allowed for tests and the finalexam. I reserve the right to confiscate any calculator during a test or final exam.

Course Information: It is your responsibility to keep up with information announcedin class, on cuLearn, or sent to your Carleton e-mail account.

E-mail: According to Carleton University policy under the Freedom of Information ofPrivacy Act (FIPPA), please use your Carleton account for all course related emails.

Math Tutorial Center: There is a mathematics and statistics help centre located at1160HP. For information visit the website http://www5.carleton.ca/math/handbook-2/

tutorial-centre/

Important Dates: http://carleton.ca/registrar/registration/dates-and-deadlines//

Students with disabilities requiring academic accommodations in this course mustcontact a coordinator at the Paul Menton Centre for Students with Disabilities to com-

plete the necessary Letters of Accommodation. After registering with the PMC, make

an appointment to meet and discuss your needs with me in order to make the necessary

arrangements as early in the term as possible. Please note the deadline for submitting

completed forms to the Paul Mention Centre is March 7, 2014 .For more details

visit the PMC website: http://www2.carleton.ca/pmc/students/accommodations/

Pregnancy obligation: write to me with any requests for academic accommoda-tion during the first two weeks of class, or as soon as possible after the need for

accommodation is known to exist. For more details visit the Equity Services website:

http://www2.carleton.ca/equity/accommodation/academic/students/

Religious obligation: write to me with any requests for academic accommoda-tion during the first two weeks of class, or as soon as possible after the need for

accommodation is known to exist. For more details visit the Equity Services website:

http://www2.carleton.ca/equity/accommodation/academic/students/

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Instructor: Dr. Masoud NasariClass ScheduleMarking SchemeText BookPrerequisiteTentative Schedule(This schedule is subject to change depending on the progress of the course.)-0ptNotes

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