Math 17300-FG: Introduction to Probability and Statistics, Fall 2018
Syllabus
How To Solve It
| Section | Notes | Exercises | Solutions |
|---|
| Intro | Introduction to Statistics | | |
| 1.5 | Relative Frequency Histograms | 1.19, 1.24, 1.26, 1.28 | Solutions |
| 2.2 | Measures of Center | 2.1, 2.2, 2.5, 2.8, 2.9 | Solutions |
| 2.3 | Measures of Variability | 2.13, 2.16, 2.17 | Solutions |
| 2.4 | Practical Significance of Standard Deviation | | |
| 4.2 | Probability: Events and Sample Space | | |
| 4.3 | Calculating Probabilities Using Simple Events | 4.1, 4.2, 4.4, 4.5, 4.7-4.10, 4.14, 4.15 | Solutions |
| Quiz 1 | Monday, 9/17 | Sections 1.5, 2.2-2.4, 4.2-4.3 | Solutions |
| 4.4 | Useful Counting Rules | 4.17-4.26, 4.29, 4.31, 4.32, 4.34, 4.38, 4.39 | Solutions |
| 4.5 | Event Relations and Probability Rules | | |
| 4.6 | Independence, Conditional Probability, Multiplication Rule | 4.40-4.68 all | Solutions |
| 4.7 | Baye's Rule | 4.69-4.79 all | Solutions |
| 4.8 | Discrete Random Variables and their Probability Distributions | 4.80-4.99 all | Solutions |
| Quiz 2 | Monday, 10/15 | Sections 4.4-4.8 | Solutions |
| 5.2 | The Binomial Probability Distribution | 5.1-5.34 all | Solutions |
| 5.4 | The Hypergeometric Probability Distribution | 5.49-5.58 all | Solutions |
| 6.1-3 | Normal Distribution for Continuous Random Variables | 6.1-6.34 all | Solutions |
| 6.4 | Tabulated Areas of the Normal Probability Distribution | 6.35-6.53 all | Solutions |
| Quiz 3 | Monday, 10/29 | Sections 5.2, 5.4, 6.1-6.4 | Solutions |
| 7.4-7.5 | Central Limit Theorem and Sampling Distribution of the Sample Mean | 7.15-7.34 all | Solutions |
| 7.6 | Sampling Distribution of the Sample Proportion | 7.35-7.47 all | Solutions |
| Midterm Exam | Wednesday, 11/7 | All sections listed above | Solutions |
| 8.3-8.4 | Point Estimation | 8.1-8.23 all | Solutions |
| 8.5 | Interval Estimation | 8.24-8.40 all | Solutions |
| 8.6 | Estimating the Difference Between Two Population Means | 8.41-8.53 all | Solutions |
| 8.7 | Estimating the Difference Between Two Population Proportions | 8.54-8.66 all | Solutions |
| Quiz 4 | Monday, 12/3 | Sections 7.4-7.6, 8.3-8.7 | Solutions |
| 8.9 | Choosing the Sample Size | 8.70-8.73, 8.75-8.77, 8.79-8.83 | Solutions |
| 9.1-3 | Hypothesis Tests about Population Means | 9.1-9.7, 9.9-9.17 | Solutions |
| 3.3-4 | Scatterplots and Linear Regression | example 3.7 | |
| Quiz 5 | Due Monday, 12/17 at Final Exam | Sections 8.9, 9.1-9.3, 3.3-3.4 | |
| Final Exam | Monday 12/17, 3:30-5:45pm in NAC 5/108 (usual classroom) | Cumulative - all sections above except 1.5, 3.3-3.4 | |