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