
İST 244  Engineering Probability
Instructor: 
Asst.Prof.Mehmet FİDAN

Teaching Assistants: 

Course Book: 
"A First Course In Probability", Sheldon Ross

Grading: 
Midterm:40%, Final Exam:60%

Other Resources: 
BOOK1: "INTRODUCTION TO PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS", Sheldon Ross BOOK2: "PROBABILITY, STATISTICS, AND RANDOM PROCESSES FOR ELECTRICAL ENGINEERING", AlbertaLeon Garcia

Course Outline: 
1. Week
Combinatorial Analysis,
Axioms of Probability

2. Week
Conditional Probability and Independence,
Random Variables,
Discrete Random Variables,
Cumulative Distributive Function,
Expectation,
Variance

3. Week
Bernolli and Binomial Random Variables,
Poisson Random Variable,
Geometric Random Variable,
Negative Binomial Random Variable,
Zeta Distrubition,
Properties of CDF

4. Week
Midterm(July 19, 2019, Friday 10:00)
Continous Random Variables,
Expectation and Variance of Continous Random Variables,
Uniform Random Variable,
Normal Random Variable,
Normal Approxiamation of Binomial Distribution,
Exponential Random Variables,
Distribution of a Function of a Random Variable

5. Week
Joint Distribution for n Random Variables,
Independent Random Variables,
Sums of Independent Random Variables,
Conditional Distributions,
Order Statistics,
Joint Distribution of Functions of Random Variables

6. Week
Properties of Expectation,
Covariance, Variance, Sums and Correlations,
Conditional Expectation,
Conditional Variance,

7. Week
Moment Generating Functions,
Limit Theorems,
Chebyshev's Inequality,
The Weak Law of Large Numbers,
Central Limit Theorem,
The Strong Law of Large Numbers,
Onesided Chebyshev's Inequality,
Markov's Inequality,
Chernoff Bounds


