General Certificate of Education (International) Advanced Level and Advanced Subsidiary Level Syllabus MATHEMATICS 9709 For examination in June and November 2009 CIE provides syllabuses‚ past papers‚ examiner reports‚ mark schemes and more on the internet. We also offer teacher professional development for many syllabuses. Learn more at www.cie.org.uk MATHEMATICS GCE Advanced Subsidiary and GCE Advanced Level 9709 CONTENTS Page INTRODUCTION 1 AIMS 2 ASSESSMENT
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Continuous deviation standard deviation Random Variable estimates P‚ population ˆ p ‚ sample Sampling Distributions proportion proportion Parameter (Defines a population) Statistic (calculated from sample to estimate a parameter) Central Limit Theorem Law of Large Numbers Confidence Level (1- )*100 Type I error (rejecting the null hypothesis when in fact it is true) Type II error (not rejecting the null hypothesis when in fact the null is not true) What is true What you did Do not
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regarded this as the greatest of his mathematical achievements. Some of Archimedes’ greatest writings are preserved on a palimpsest which has been rediscovered and properly studied only since 1998. Although Newton may have been the most important mathematician‚ and Gauss the greatest theorem prover‚ it is widely accepted that Archimedes was the greatest genius who ever lived.The works of Archimedes were written in Doric Greek‚ the dialect of ancient Syracuse.[53] The written work of Archimedes has
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University Press‚ Cambridge (3rd edition‚ 2006). ISBN 0-521-69027-7 * Bishop: Pattern Recognition and Machine Learning‚ Springer‚ ISBN 0-387-31073-8 * ^ Hamilton Institute. "The Binomial Distribution" October 20‚ 2010. * Joachim H. Ahrens‚ Ulrich Dieter (1974). "Computer Methods for Sampling from Gamma‚ Beta‚ Poisson and Binomial Distributions". Computing 12 (3): 223–246. doi:10.1007/BF02293108 * Aldrich‚ John; Miller‚ Jeff. "Earliest Uses of Symbols in Probability and Statistics" * M.A. Sanders. "Characteristic
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Questions from Questionbank Topic 1. Sequences and Series‚ Exponentials and The Binomial Theorem 1. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. 2. Find the coefficient of x5 in the expansion of (3x – 2)8. 3. An arithmetic series has five terms. The first term is 2 and the last term is 32. Find the sum of the series. 4. Find the coefficient of a3b4 in the expansion of (5a + b)7. 5. Solve the equation 43x–1 = 1.5625 × 10–2. 6. In an arithmetic sequence‚
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Outline 1 Introduction 2 Overview of One -Step Binomial Model‚ Black-Scholes Merton Model and Put Call Parity: 2.1. One -Step Binomial Model 2.2. Black-Scholes Merton Model 2.3. Put Call Parity 3 Limitations of Analysis 4 Research Process: Microsoft 5 Research Process: Apple 6 Results and Conclusion 7 Reference List 8 Attachments 1. Introduction The most common definition of an option is an agreement between two parties‚ the option seller and the option buyer‚ whereby the
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MBA –M‚N‚V section Managerial statistics (IMBA 141) Number of Credits = 2 (30 hours) Course Overview IMBA 141 is a core course for 2 credit hours. It will discuss from both conceptual and application perspective‚ basic statistical and mathematical concepts and tools widely used in business applications. The course gives a basic statistical input desired for a clear understanding of core courses like Economics‚ Foundations of Finance‚ Managerial Finance‚ Operations Management
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Science CET Reviewer Science – scientia (Latin) which means knowledge. * A systematized body of knowledge that seeks to answer questions about the natural environment; study of organized facts‚ which have been discovered about the environment. * Look at it‚ think‚ guess‚ and try it out. Technology – also known as applied science. * A consequence of science and engineering. * Deals with man’s usage and knowledge of tools and crafts and how it influences man’s ability to control
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a couple of times‚ which has the larger probability of seeing a sum of 9 or seeing a sum of 10? What about seeing double sixes? In a correspondence between Blaise Pascal and Pierre Fermat‚ the problems were resolved‚ and this triggered the first theorem in the modern theory of probability. II. BASIC DEFINITIONS Definition 1 In probability theory‚ the sample space‚ often denoted Ω‚ of an experiment is the set of all possible outcomes
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Table of Contents Introduction Cricket involves numbers‚ the comparison of these numbers will give us an idea regarding how well a team is faring. The comparison of these number widely depends on Statistics to give us a rational conclusion. Cricket is therefore a sport which involves a lot of statistics‚ Statistics are needed to determine the performance of a team in various formats such as one day‚ international. It is also needed to determine the performance
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