Lesson plan / PROBABILITY AND RANDOM VARIABLES

Lesson Information

Course Credit 3.0
Course ECTS Credit 6.0
Teaching Language of Instruction İngilizce
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator Assist. Prof. Dr. NECİP GÖKHAN KASAPOĞLU
Instructor (s) Assist. Prof. Dr. NECİP GÖKHAN KASAPOĞLU
Course Assistant

Purpose and Content

The aim of the course To give methods and techniques to students to model Electrical and Electronics Engineering problems.
Course Content Introduction to Probability, Random Variables, Several Random Variables, Elements of Statistics.

Weekly Course Subjects

1Introduction to Probability: Random experiments and events, Probability, Relative-frequency approach,
2Probability, Relative-frequency approach,
3Relative frequeny approach, Elementary set Theory, Conditional Probability
4Independense, Combined Experiments and Bernoulli Trials.
5Random Variables: Concept of a random variable
6Distribution functions, Density functions,
7Mean Values and Moments, The Gaussian Random Variable, Density functions related to Gaussian
8Other Probability Density Functions, Conditional Probability Distribution and Density Functions.
9Several Random Variables: Two random variables
10Conditional Probability, Statistical independence, Correlation between random variables
11Density functions of the sum of two random variables.
12Characteristics Function.
13Elements of Statistics: sampling Theory- The sample mean, The sample variance
14Sampling Distributions and confidence intervals, Hypothesis Testing

Resources

1- P. Olofsson, M. Andersson, Probability, Statistics and Stochastic processes. Wiley&Sons
2- H. Hsu, Probability, Random Variables & Random Proceses, Schaum's Outlines
3- G.R. Cooper, C. D. McGillem, Probabailistic Methods of Signal and System Analysis.