
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  İST201  PROBABILITY  Compulsory  2  3  7 
 Level of Course Unit  First Cycle  Objectives of the Course  The aim of this course is to comprehend the asimptotic structure of the theory of statistics forming a basis to subject of statistics and in solving problems obtaining the ability of applying this structure.  Name of Lecturer(s)  Prof. Dr. Onur KÖKSOY  Learning Outcomes  1  To be able to express the concepts of the theory of statistics depending on the concepts of sets.  2  To be able to prove the teorems of probability depending on the set concepts.  3  To be able to use the gained knowledge in solving the problems.  4  To be able to analyse the discrete and continuous random variables and their probability distributions.  5  To be able to distinguish distribution function and cumulative distribution function. 
 Mode of Delivery  Face to Face  Prerequisites and corequisities  None  Recommended Optional Programme Components  None  Course Contents  Concept of Probability, Sample space and events, Some relations from set theory, Axioms, properties of probability, Principles of counting: Basic Prensiple of counting, Conditional probability, The multiplication rule, Independence, Discrete random variables and Probability distributions, Cumulative distribution function, random variable and the expected value of a function of a random variable, Bernoulli,Binomial, Hypergeometric and Negative Binomial Distributions and properties, Generalization of Binomial distribution for Poisson Distribution, Continuous Random variables and Probability Distributions, Cumulative Distribution functions and expected values, Normal Distribution, Gamma Distribution and derivates, Other continuous distributions, Joint Probability distributions and density functions, Marginal Probability distribution functions and density functions, Joint Probability Distibution functions, Expected value, Covariance, Correlation  Weekly Detailed Course Contents  
1 
Definitions on Probability theory
   2  Set theory and relations    3  Properties of probability concept and axioms    4  Counting techniques, permutation, combination
   5  Conditional probbaility, multiplication rule and concepts of independence    6  Discrete random variables, probability distributions, Cumulative distribution function and expected value    7  Special disributions and basic properties    8  Midterm Examination
   9  Continuous random variables and probability distributions    10  Cumulative distribution function and expected value    11  Continuous distributions and basic properties    12  Joint probability distribution and probability density function    13  Marginal probability distribution function and density function    14  Joint cumulative distribution functions    15  Expected value, covariance and correlation
   16  Final Examination   
 Recommended or Required Reading  Hogg, R., V., Tannis, E., A., “Probability and Statistical Inference”,
Mendenhall, W., “Introduction to Probability and Statistşcs”, University of Florida, Emerritus (1997),
Jay L. Devore, “Probability and Statistics for Engineering and the Sciences” (1997)  Planned Learning Activities and Teaching Methods  Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"  Assessment Methods and Criteria   Language of Instruction  English  Work Placement(s)  None 
 Workload Calculation 

Midterm Examination  1  2  2  Final Examination  1  2  2  Quiz  4  8  32  Attending Lectures  14  4  56  Tutorial  14  3  42  Problem Solving  2  8  16  QuestionAnswer  2  8  16  Individual Study for Homework Problems  1  20  20  Individual Study for Mid term Examination  1  27  27  Individual Study for Final Examination  1  27  27  
Contribution of Learning Outcomes to Programme Outcomes  LO1  5    4  4  4  5    5    5      4  4      4  LO2  5    4  4  4  5    5    5      4  4      4  LO3  5    4  4  4  5    5    5      4  4      4  LO4  5    4  4  4  5    5    5      4  4      4  LO5  5    4  4  4  5    5    5      4  4      4 
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



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