<p> Summary of Topics and Examples from Chapter 1</p><p>1. Components of a probability experiment: Sample spaces (discrete vs. continuous), events, elementary outcomes</p><p> i. From class: Two network routers (discrete); time to access a webpage (continuous)</p><p> ii. From Homework: HW1 #3</p><p> iii. Hofmann: 1.9 #2</p><p>2. Events in Set Notation and Venn Diagrams</p><p> i. From class: Network routers and accessing the webpage</p><p> ii. From Homework: HW1, #4, HW2 #2,#3</p><p> iii. Hofmann 1.9 #3, #7</p><p> iv. Extra Exercises for HW 3: Morning Activities</p><p>3. Kolmogorov’s Axioms and Consequences</p><p> i. From class: Dial-up connection to AOL</p><p> ii. From Homework: HW 2 #1, #5 (a)</p><p> iii. Hofmann 1.9 #7</p><p> iv. Baron Examples: 2.10, 2.11, 2.13, 2.14, 2.28</p><p>4. Probability Models for Equally Likely Outcomes</p><p> i. From class: octal numbers, toss a coin – how many sequences are possible?, pizza toppings, lottery, coin toss – how many ways to get x heads?</p><p> ii. From HW: HW2 #4, practice counting</p><p> iii. Extra exercises for HW 3: 2x2 tables, exact change, randomized experiment</p><p> iv. Hand-outs: Multinomial and acceptance sampling</p><p> v. Hofmann: 1.9 #4, #6 vi. Baron Examples: 2.19, 2.24, 2.25-2.27</p><p>5. Conditional Probability </p><p> i. From class: Box with defective and good chips, three colored cards</p><p> ii. From homework: HW1 #4 (e), (f); HW 2 Best by</p><p> iii. Hofmann: 1.9 #7</p><p> iv. Baron Examples: 2.28, 2.29-2.30</p><p>6. Independence</p><p> i. From class: AOL network (version 2), parallel systems and series systems with independent components</p><p> ii. From homework: HW2 #3, HW3 #1, #5</p><p> iii. Hofmann: 1.9 # 11</p><p> iv. Baron Examples: 2.17</p><p>7. Law of Total Probability and Bayes’ Rule:</p><p> i. From class: gold coins and pennies, medical test</p><p> ii. HW 3: #2, #3</p><p> iii. Extra exercises for HW 3: Measurement Error in the NRI</p><p> iv. Hofmann: Forensics example in text, 1.9 #8, #12, #13, #14, #17</p><p> v. Baron Examples: 2.31-2.32</p><p>8. Bernoulli Experiments and R.V.’s</p><p> i. From class: Darts</p><p> ii. From Homework: HW 3 #5 </p>