COURSE UNIT TITLE

: PROBABILITY II

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IST 1014 PROBABILITY II COMPULSORY 2 0 0 4

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ÖZLEM EGE ORUÇ

Offered to

Statistics
Statistics(Evening)

Course Objective

This course introduces students to the mathematical principles of statistics. Students will learn basic principles of counting process, axioms of probability, random variables and their distributions.

Learning Outcomes of the Course Unit

1   Use the concepts of random variables probability and distribution functions, properties and their relationships
2   Understand how basic concepts such as expected value, variance and standard deviation will be calculated and interpreted
3   Obtain moments and moment generating functions of random variables.
4   Use the basic discrete distributions with their properties.
5   Use the basic continuous distributions with their properties.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Discrete Random Variables, Probability Mass Function and CDF
2 Continuous Random Variables, Probability Density Function and CDF
3 Measures of Central Tendency(Expected Value, Median and Mode)
4 Measures of Variability(Variance, Standard Deviation ad Coefficient of Variation)
5 Moments and Moment Generating Functions, Percentiles
6 Special Discrete Distributions(Bernoulli,Binomial)
7 Special Discrete Distributions(Poisson, Hypergeometric)
8 Special Discrete Distributions(Geometric,Negative Binomial)
9 Aproximation of Discerete random variable distributions
10 Special Continuous Distributions (Normal)
11 Special Continuous Distributions (Normal)(continued)
12 Special Continuous Distributions (Approximation of the binomial distribution to the Normal distribution)(continued)
13 Special Continuous Distributions (Uniform )
14 Special Continuous Distributions (Exponential)

Recomended or Required Reading

Textbook(s):
1.S.Ross,A first Course in Probability, 8th edition,2010, Prentice Hall, ISBN 0-13-607909-5.
Yardımcı kaynaklar:
2. D.P. Bertsekas and J.N.Tsitsiklis, Introduction to Probability, Athena Scienrific, ISBN 1-886529-37-X.
3.M.R.Spiegel, J.Schiller, R.A.Srinivasan, Probability and Statistics(Schaum's Outlines) 2nd edition, McGrawHill ISBN 0-07-135004-7.

Planned Learning Activities and Teaching Methods

The course consists of lecture and quiz.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

%40(Midterm Exam)+%60(Final Exam)

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

Prof.Dr.Özlem EGE ORUÇ
e-mail:ozlem.ege@deu.edu.tr
tel:+90 232 3018558

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparations before/after weekly lectures 14 2 28
Preparation for midterm exam 1 10 10
Preparation for final exam 1 20 20
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 90

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15345
LO.25345
LO.35345
LO.45345
LO.55345