1. MAT 1235 Calculus II Section 8.5 Probability http://myhome.spu.edu/lauw

2. HW WebAssign 8.5 (6 problems, 65 min.) Quiz: 8.2, 8.5 on Wed.

3. Preview Provide a 30-minute snapshot of probability theory and its relationship with integration.

4. Preview Provide a 30-minute snapshot of probability theory and its relationship with integration. Engineering: MAT2200 (3) Math major/minor: MAT 3360 (5) 

5. Random Variables Variables related to random behaviors

6. Example 1

7. Continuous Random Variables Take range over an interval of real numbers.

8. Probability… of an event = the chance that the event will happen

9. Example 2

10. Probability… …of an event = the chance that the event will happen …is always between 0 and 1.

11. Example 3

12. Probability Density Function

13. Properties:

14. Example 4

16. Average Value of a pdf

17. Example 4

18. Exponential Distribution

19. Example 5 The customer service at AT&T has an average waiting time of 2 minutes. Assume we can use the exponential distribution to model the waiting time. Find the probability that customer will be served within 5 minutes.

20. Example 5

21. Remarks If a random variable is not given, be sure to define it.