1. Probability Distributions Table and Graphical Displays

2. Probability Distributions - Definition

3. Probability Distribution 123456 Probability

4. Probability Distribution 123456 Probability

5. Probability Distribution 123456 Probability Important Features: Must list all possible outcomes All outcomes must have a probability associated with them The probabilities must add up to exactly 1.

6. Example Suppose that you are playing with a weighted die and after tossing several hundred times the following probability distribution summarizes the results 123456 Probability0.150.200.15 0.20

7. Example 123456 Probability0.150.200.15 0.20

8. Example 123456 Probability0.150.200.15 0.20

9. Example 123456 Probability0.150.200.15 0.20

10. Weighted Die 123456 Probability0.150.200.15 0.20

11. Weighted Die 123456 Probability0.150.200.15 0.20

12. Weighted Die 123456 Probability0.150.200.15 0.20

13. Weighted Die 123456 Probability0.150.200.15 0.20

14. Weighted Die 123456 Probability0.150.200.15 0.20

15. Weighted Die 123456 Probability0.150.200.15 0.20

16. Weighted Die 123456 Probability0.150.200.15 0.20

17. Weighted Die 123456 Probability0.150.200.15 0.20

18. Weighted Die 123456 Probability0.150.200.15 0.20

19. Weighted Die 123456 Probability0.150.200.15 0.20

20. Weighted Die Construct a graphical representation of the probability distribution Probability 10.15 20.20 30.15 4 5 60.20

21. Weighted Die Construct a graphical representation of the probability distribution Probability 10.15 20.20 30.15 4 5 60.20

22. Assignment 0123456+ 0.070.260.290.190.110.050.03

23. Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum.

24. Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum. 123456 123 23 3 4 5 6

25. Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum. 123456 123 23 3 4 5 6 Prob 21/36 32/36