1. Lecture 2: Introduction to Probability Theory
ECE360 Clinic Consultant Module In Prob & Stat.
Lecture 2: Introduction to Probability Theory
+
-
-2
+2
+3 
-3
Dr. Ying (Gina) Tang
Electrical and Computer Engineering
Rowan University

2. Random Experiments Prof. Ying (Gina) Tang + - -2 +2 +3 
-3
Random Experiments
Prof. Ying (Gina) Tang

3. +
-
-2
+2
+3 
-3
Set Theory
Prof. Ying (Gina) Tang

4. +
-
-2
+2
+3 
-3
Probability
Prof. Ying (Gina) Tang

5. +
-
-2
+2
+3 
-3
Probability
Prof. Ying (Gina) Tang

6. Combining Probabilities
+
-
-2
+2
+3 
-3
Combining Probabilities
Prof. Ying (Gina) Tang

7. Properties of Probability
+
-
-2
+2
+3 
-3
Properties of Probability
Prof. Ying (Gina) Tang

8. Counting Method Examples: Prof. Ying (Gina) Tang + - -2 +2
+3 
-3
Counting Method
Examples:
Prof. Ying (Gina) Tang

9. +
-
-2
+2
+3 
-3
Permutations
Prof. Ying (Gina) Tang

10. +
-
-2
+2
+3 
-3
Combinations
Prof. Ying (Gina) Tang

11. Conditional Probability
+
-
-2
+2
+3 
-3
Conditional Probability
Prof. Ying (Gina) Tang

12. +
-
-2
+2
+3 
-3
Examples
Prof. Ying (Gina) Tang

13. +
-
-2
+2
+3 
-3
Examples
A chain of stores sells three different cell phones. Of its sales, 50% are brand 1, 30% are brand 2, 20% are brand 3. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 25% of brand 1’s cell phones require warranty repair work, whereas the corresponding percentages for brands 2 and 3 are 20% and 10%, respectively.
What is the probability that a randomly selected purchaser has brought Brand 1’s cell phones that will need repair under warranty?
What is the probability that a randomly selected purchaser that will need repair under warranty
If a customer returns to the store with a cell phone that needs warranty repair work, what is the probability that it is a brand 1 cell phones? A brand 2 cell phones? A brand 3 cell phones?
Prof. Ying (Gina) Tang

14. The Law of Total Probability
+
-
-2
+2
+3 
-3
The Law of Total Probability
Prof. Ying (Gina) Tang

15. The Law of Total Probability
+
-
-2
+2
+3 
-3
The Law of Total Probability
Prof. Ying (Gina) Tang

16. +
-
-2
+2
+3 
-3
Bayes Theorem
Prof. Ying (Gina) Tang

17. +
-
-2
+2
+3 
-3
Independence
Prof. Ying (Gina) Tang