MATHEMATICAL STATISTICS I (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Calculate the probability of events from given problems; Apply the concept of discrete and continuous random variables and their probabilities to solve practical problems; Calculate Joint Densities, Order Statistics and Moment Generating Functions of two or more discrete and continuous random variables; Apply interval between events of Poisson probability and Central Limit Theorem from Normal and Gamma Distribution.

Topics:

1. Probability;
2. Discrete Random Variables and Their Probability Distributions;
3. Continuous Random Variables and Their Probability Distributions;
4. Joint Densities;
5. Order Statistics;
6. Moment Generating Functions;
7. Poisson Distribution;
8. Normal Distribution;
9. Gamma Distribution.