PPT-22C:19 Discrete Math Discrete Probability
Author : conchita-marotz | Published Date : 2019-03-15
Fall 2010 Sukumar Ghosh Sample Space DEFINITION The sample space S of an experiment is the set of possible outcomes An event E is a subset of the sample space
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22C:19 Discrete Math Discrete Probability: Transcript
Fall 2010 Sukumar Ghosh Sample Space DEFINITION The sample space S of an experiment is the set of possible outcomes An event E is a subset of the sample space What is probability. Logic and Proof. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . Introduction and . Scope. Propositions. Fall 2011. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . supporting . Dr. Feng Gu. Way to study a system. . Cited from Simulation, Modeling & Analysis (3/e) by Law and . Kelton. , 2000, p. 4, Figure 1.1. Model taxonomy. Modeling formalisms and their simulators . Discrete time model and their simulators . QSCI 381 – Lecture 12. (Larson and Farber, Sect 4.1). Learning objectives. Become comfortable with variable definitions. Create and use probability distributions. Random Variables-I. A . Induction and Recursion. Fall . 2011. Sukumar Ghosh. What is mathematical induction?. It is a method of proving that something holds.. Suppose we have an . infinite ladder. , and we want to know. if we . We are flipping 3 coins and the outcomes are represented by a string of H’s and T’s (HTH, etc.). . How many elements are there in the sample space?. Express the event “There are more heads than tails” as a set.. Graphs. Fall . 2011. Sukumar Ghosh. Seven Bridges of . K. ⍥. nigsberg. Is it possible to walk along a route that cross . each bridge exactly once?. Seven Bridges of . K. ⍥. nigsberg. A Graph. What is a Graph. 1. http://www.landers.co.uk/statistics-cartoons/. 5.1-5.2: Random Variables - Goals. Be able to define what a random variable is.. Be able to differentiate between discrete and continuous random variables.. Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . 1C. 1D. 2A. 2B. 2C. 2D. 3A. 3B. 3C. 3D. 4A. 4B. 4C. 4D. 5A. 5B. 5C. 6A. 6B. 6C. 7A. 7B. 7C. 8A. 8B. 8C. 9A. 9B. 9C. 10A. 10B. 10C. 11A. 11B. 11C. 12A. 12B. 12C. 13A. 13B. 13C. 14A. 14B. 14C. 15A. 15B. Discrete Probability. Spring 2015. Sukumar Ghosh. Sample Space. DEFINITION. . The . sample space S . of an experiment is the set . of possible outcomes. An . event. . E. is a . subset. of the sample space.. Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . P(4) . is true, but . Fall 2011. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the .
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