Spring, 2011 David F. Anderson Summary: Math 431 Spring, 2011 David F. Anderson Exam 1 notes: 1. The exam is comprehensive and covers Chapters 1, 2, 3, and 4 (up through Section 4.5). You must be able to: (a) Know how to compute probabilities and expectations when they are handed to you, i.e. be technically proficient. This is a minimum. (b) You must be able to turn situations (i.e. word problems) into something you can compute. This is the harder part, but is much more useful and comes from practice. As I've said many times, the best course of action is to define random variables ("let..."), write down everything you know (think about assumptions (independence, etc.) you are making), write down (in mathematics) what you need to solve for, and only then try to solve the problem. (c) You need to know how to do the types of proofs you have seen in class and have done in the homework. 2. Study techniques: Review notes/text. Review all homework problems including my solu- tions online. Choose more homework problems from the text. WORK TOGETHER and have conversations about the material! Broad topics: Collections: Mathematics