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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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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MDM4U – Grade 12 Data Management – Exam Unit 1: One Variable Analysis Types of Data Numerical Data Discrete: consists of whole numbers Ie. Number of trucks. Continuous: measured using real numbers Ie‚ Measuring temperature. Categorical Data: cannot be qualitatively measured Nominal: Data which any order presented makes sense Ie‚ Eye Colour‚ Hair Colour. Ordinal Data: better if sorted or ordered Ie‚ Date and Time‚ scalar options Collecting Data Primary: collected by yourself Secondary:
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Performance of Random Testing Through Markov Chain Monte Carlo Methods Bo Zhou‚ Hiroyuki Okamura‚ Member‚ IEEE‚ and Tadashi Dohi‚ Member‚ IEEE Abstract—In this paper‚ we propose a probabilistic approach to finding failure-causing inputs based on Bayesian estimation. According to our probabilistic insights of software testing‚ the test case generation algorithms are developed by Markov chain Mote Carlo (MCMC) methods. Dissimilar to existing random testing schemes such as adaptive random testing‚ our
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Case Weatherhead School of Management OPRE 433 Fall 2014 Homework 3 – SOLUTION Answer the following questions using JMP wherever you can. 1. Screening at an airport occurs at locations A‚ B‚ and C. A handles 50% of the passengers‚ B handles 30%‚ and C handles 20%. The detection rates for prohibited items (such as weapons) at the three locations are 0.9‚ 0.8‚ and 0.85‚ respectively. A. If a passenger at a boarding gate is found with a prohibited item‚ what is
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of Form | Web | www.analyzemath.com | | Bottom of Form | | Let X be a random variable that takes the numerical values X1‚ X2‚ ...‚ Xn with probablities p(X1)‚ p(X2)‚ ...‚ p(Xn) respectively. A discrete probability distribution consists of the values of the random variable X and their corresponding probabilities P(X). The probabilities P(X) are such that ∑ P(X) = 1Example 1:Let the random variable X represents the number of boys in a family. a) Construct the probability distribution
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(conditional) P(B|A): Probability of occurrence of B given that A has occurred (conditional). 2. A continuous random variable is a random variable where the data can take infinitely many values. For example‚ a random variable measuring the time taken for something to be done is continuous since there are an infinite number of possible times that can be taken. For any continuous random variable with probability density function f(x)‚ we have that:
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Practice Quiz I 1. The following bar chart describes the results of a survey concerning the relevance of study to present job by school. Focus on the School of Business and Management. What are the mode and the median respectively? (a) Relevant‚ Neutral (b) Relevant‚ Relevant (c) Neutral‚ Relevant (d) Neutral‚ Neutral 2. Some graphical descriptions of final examination scores for students of a Statistics course are given below. Please indicate which one is false. (a) (b) (c)
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probability that he makes fewer than 2 incorrect inspections is .736. A: Use Binomial table to discover ‚ add 3 probabilities for 0‚1‚2 A continuous random variable may assume only integer values within a given interval. A: False A decision tree is a diagram consisting of circles decision nodes‚ square probability nodes and branches. A: False A table of random numbers must be normally distributed and efficiently generated A: False Simulation results will always equal analytical results if 30 trials
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1. In the table below‚ the random variable x represents the number of cups or cans of caffeinated beverages consumed by Americans each day‚ based on data from the National Sleep Foundation. Determine whether or not the data represent a probability distribution. *If the data represent a probability distribution‚ find its mean and standard deviation. * If the data don’t represent a probability distribution‚ identify the requirement(s) for a probability distribution that is not satisfied.
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