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Unformatted text preview: AMS 315 Data Analysis Chapter Four Study Guide Probability and Probability Distributions Fall 2010 Context Random variables are the principal tool in statistics. Probability theory, as developed in AMS 310 and 311, develops the properties of random variables and is the foundation of statistics. My expectation of you is that you will review this material from your prerequisite class. If the material is new to you, then you should read the relevant sections of the text carefully. I will review the contents of each section to help you prioritize your studying. Chapter Four 4.1. Introduction This section is introductory. You should review the discussion of classica, relative frequency, and subjective interpretations of probability. 4.2. Finding the probability of an event You should review the use of statistical packages to generate random data. 4.3. Basic event relations and probability laws This section reviews the high points of axiomatic probability theory. A key result that is of importance here is the theorem that the probability of the union of two events, A and B , is ) ( ) ( ) ( ) ( B A P B P A P B A P ∩- + = ∪ . This leads immediately to Boole’s inequality ) ( ) ( ) ( B P A P B A P + ≤ ∪ . This will be covered in lecture when we discuss multiple comparisons....
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This note was uploaded on 12/19/2010 for the course AMS 315 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.
- Fall '08