1. Math 150 – Probability and Statistics Spring 2015 Introduction and Basic Terminology

2. Introduction Outline Syllabus Review Introduction to Probability and Statistics Basic Terminology (Ch2) Graphical Representation of Distributions (Ch2)

3. Statistics vs. Algebra/Calculus Inductive vs. Deductive Reasoning Emphasis on analysis / confidence of results Applied word problems Random behavior Little equation solving, no factoring!, no quadratic formula!, little graphing

4. Course Overview Ch3 – Statistical Summary Ch4 – Regression Ch5 – Probability Ch6 – Discrete Probability Distributions Ch7 – Continuous Probability Distributions Ch8 – Sampling Distributions Ch9 – Confidence Ch10, Ch11, Ch12 – Hypothesis Testing

5. Applications of Statistics and Probability

6. Gambling / Games of Chance Expected Value Conditional Probability Poker Roulette Dice / Craps

7. Biology / Health Sciences Genetics – Mendel Laws / Punnett Square Human Genome Project Genetic Diseases HIV testing Mammograms Drug Testing

8. Economics and Management Stock Market volatility / deviation Investment Expected value Extrapolation

9. Insurance Likelihood of injury, property damage, accidents Location and demographic influence on rates Actuarial Science

10. Politics Census Political strategy Sample opinion polls – representative of population?

11. Law Statisticians as lawyers Interpretation of data driven evidence Misleading data and displays Ex: smoking vs lung cancer Hypothesis Test

12. Basic Terminology (Ch2) Data (qualitative vs quantitative) Population Sample Parameter Statistic Distribution SRS (Simple Random Sample)

13. Describing Distributions Quantitatively (Ch3) Qualitatively – Histogram – Shape Symmetry vs Skewed Uniform Distribution Skew left vs skew right – Modes Unimodal, Bimodal, Multimodal, Uniform (no mode)

14. Histogram

16. Relative Frequency Histogram

17. Symmetric, unimodal distribution

18. Symmetric, Unimodal distribution

19. Asymmetric, bimodal distribution

20. Uniform Distribution

21. Skew Left Distribution

22. Skew right distribution

25. Other Displays Ex: Dotplot

26. Pie Chart

27. Misleading Displays