1. CS723 - Probability and Stochastic Processes

2. Lecture No. 14

3. In Previous Lectures
• Started discussion of continuous random variable • Introduced PDF and CDF of continuous random variables • PDF of continuous RV is a distributed loading of a constant width bar • CDF of continuous random variable is a parameterized probability function integrate PDF  CDF differentiate CDF  PDF

4. CDF of a Continuous RV
Orientation is equally likely to occur in [0,2π] CDF of height of nozzle is to be found

5. CDF of a Continuous RV

6. CDF of Nozzle Height

7. PDF of Nozzle Height

8. PDF of Nozzle Height

9. PDF of Nozzle Height

10. Uniformly Distributed RV

11. Pr (X>a+1 | X>a)

12. Exponential Random Variable