Surname Centre No. Initial(s) Paper Reference 6 6 8 3 Candidate No. 0 1 Signature Paper Reference(s) 6683/01 Examiner’s use only Edexcel GCE Team Leader’s use only Statistics S1 Advanced/Advanced Subsidiary Friday 18 January 2013 – Afternoon Time: 1 hour 30 minutes Question Leave Number Blank 1 2 3 4 Materials required for examination Mathematical Formulae (Pink) Items included with question papers Nil 5 6 Candidates may use any calculator
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A COBWEB MODEL WITH RANDOM EXPECTATIONS Serena Brianzoni‚ Università degli studi di Macerata Cristiana Mammana‚ Università degli studi di Macerata Elisabetta Michetti‚ Università degli studi di Macerata Francesco Zirilli‚ Università di Roma ‘La Sapienza’ EXTENDED ABSTRACT 1. Introduction The cobweb model is a dynamical system that describes price fluctuations as a result of the interaction between demand function depending on current price and supply function depending on expected price. A classic
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probability (7%) 1. Let the random variable X follow a Binomial distribution with parameters n and p. We write X ~ B(n‚p). * Write down all basic assumptions of Binomial distribution. * Knowing the p.m.f. of X‚ show that the mean and variance of X are = np‚ and 2 = np(1 – p)‚ respectively. 2. A batch contains 40 bacteria cells and 12 of them are not capable of cellular replication. Suppose you examine 3 bacteria cells selected at random without replacement. What is the
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in constant need of repair. With a particular type of terrain and make of concrete‚ past experience suggests that‚ on the average‚ 2 potholes per kilometre after a certain amount of usage. It is assumed that the Poisson process applies to the random variable for the number of potholes. i. What is the probability that there will be between 3 and 9 potholes in a given section of 5 km. [2 marks] ii. the What is the probability that there will be more than 3 km section before next pothole is found. [3
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MTH3301 Fall 2012 Practice problems Counting 1. A closet contains 6 different pairs of shoes. Five shoes are drawn at random. What is the probability that at least one pair of shoes is obtained? 2. At a camera factory‚ an inspector checks 20 cameras and finds that three of them need adjustment before they can be shipped. Another employee carelessly mixes the cameras up so that no one knows which is which. Thus‚ the inspector must recheck the cameras one at a time until he locates all the bad ones
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UNIVERSITI UTARA MALAYSIA COLLEGE OF ARTS AND SCIENCES SCHOOL OF QUANTITATIVE SCIENCES GROUP ASSIGNMENT SQQS1013 ELEMENTARY STATISTICS 2nd SEMESTER SESSION 2012/2013 INSTRUCTIONS: 1. Five (5) persons in a group. 2. Answer ALL questions and show all your calculations clearly. 3. Report must be typewritten using A4 paper. 4. Every question and answers must be written on a new page. 5. The front cover for the report is as in Appendix
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Service Systems Fall 2005 Homework 7 November 22‚ 2005 Due at the start of class on Thursday‚ December 1st. 1. Suppose there are two tellers taking customers in a bank. Service times at a teller are independent‚ exponentially distributed random variables‚ but the first teller has a mean service time of 4 minutes while the second teller has a mean of 7 minutes. There is a single queue for customers awaiting service. Suppose at noon‚ 3 customers enter the system. Customer A goes to the first teller
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics staNDaRD level PaPeR 1 Wednesday 4 May 2011 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES candidate session number 0 0 Examination code 2 2 1 1 – 7 3 0 3 Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all questions in the boxes provided. Section B: answer all questions on the
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics STANDARD level Paper 1 Candidate session number 0 0 Wednesday 4 May 2011 (afternoon) Examination code 2 1 hour 30 minutes 2 1 1 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes
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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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