...JET Copies Case Problem Venetia Carter Professor Donald Ray West Quantitative Methods MAT 540 January 18, 2011 1. The number of days needed to repair the copier when it is out of service , according to the discrete distribution shown : Repair time (days) | Probability | Contribution to average repair time | 1 | 0.20 | 0.20 | 2 | 0.45 | 0.90 | 3 | 0.25 | 0.75 | 4 | 0.10 | 0.40 | Total (average days) | 1.00 | 2.25 | 2. Number of weeks between breakdowns simplified # of weeks | Cumulative chance of breakdowns | Simplified | 0 | 0* 0/18 *1/2 | 0 | 1 | 1*1/18*1/2 | 1/36 | 2 | 2*2/18*1/2 | 4/36 | 3 | 3*3/18*1/2 | 9/36 | 4 | 4*4/18*1/2 | 16/36 | 5 | 5*5/18*1/2 | 25/36 | 6 | 6*6/18*1/2 | 36/36 | The chance of a breakdown within x weeks after a previous breakdown is x^2/36. To find the average value of x we set x^2/36=1/2 to get x =3 *sqrt (2) =4.243. This gives us 4.243 weeks between breakdowns. 3. Revenue lost per day the copier is out of service # of copies sold per day Price of each copy Revenue per day Low estimateHigh estimate | 20008000 | $0.10$0.10 | $200$800 | Average 5000 $0.10 $ 500 4. Lost revenue due to copier breakdowns over 1 year (average) Weeks per year | 52 | Weeks between breakdowns | 4.243 | Breakdowns per year | 12.255 | Days lost per breakdown...
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...Page 1 of 8 1 ⅈ=1 = ⅈ () , ⅈ ⅈ = √ 1 −1 [∑ⅈ=1 ⅈ2 ] − ̅ 2 = 1 [∑ ⅈ2 ] − ̅ 2 = −1 ⅈ=1 Page 2 of 8 ̅± ,−1 2 √ , ℎ = 150, ̅ = 15.232 = 3.783 15.232 ± 1.976 3.783 √150 : 14.621 : 15.842 0 : = 16 : < 16 = ̅ − √ = 0.05 0.05,149 = −1.655 = 15.232−16 3.783 √150 0 0 < −1.655 = −2.487 (−2.487) < −1.655 Page 3 of 8 0 = −2.487 − ∞ 0.006993 0.006993) > 0 Page 4 of 8 0.3 0.25 P(1-P) 0.2 0.15 0.1 0.05 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 P = 0.5, (1 − ) = 0.25 = 1 0, (1 − ) = 0.0 = √ (1 − ) (1−) 2 (1 − ) = 0.5 = √ 2 (1−) 2 ∗(1−) = 2 2 2 ∗ (1 − ) = 2 2 , ℎ 1 − = 0.95, = 0.05 ℎ = 0.025 = 1.96 2 = 0.5 = 1 − , = 0.025 = 1536.64, 1537 Page 5 of 8 ≥ 5 (1 − ) ≥ 5 = 125 500 = 500 = 0.248, = 124 ℎⅈℎ ⅈ ≥ 5 (1 − ) = 376 ≥ 5 ± √ 2 ± √ 2 (1−) (1 − ) , ℎ 1 − = 0.95, ℎ = 0.025 , = 0.248, 1 − = 0.752 2 = 500 = 0.248 ± 0.0379 : 0.210 : 0.286 Page 6 of 8 (ℎ_ ̅ ( ) = 653.3426, ( ⅈⅈ) = 18.7542 ⅈ = × ⅈ 1 = ( ≤ 620) = ( ≤ 620 − 653.3426 ) = ( ≤ −1.78) = 0.0375 18.7542 2 = (620 < ≤ 635) = (−1.78 < ≤ −0.98) = ( ≤ −0.98) − ( < −1.78) = 0.1635 – 0.0375 = 0.126 3 = (635 < ≤ 650) = (−0.98 < ≤ −0...
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...FRE6083, Midterm Examination, Wednesday March 12 2014, 5:30pm-8:00pm 1. Number of pages including this one: 2 2. For this examination, you may only use a 2-page cheat sheet. No other notes, books or electronic devices may be used. Cell phones may not be used. Any violation of this policy will result in a grade of zero for this exam. Problem 1 (12 points) We consider X1 , X2 , · · · Xn , independent and identically distributed random variables with common mean µ ∈ R and common variance σ 2 > 0. 1. (4 points) What is the limit of 1 n n i=1 Xi as n → +∞? Justify your answer. We suppose that µ is not known. You observe 1000 samples drawn from the common distribution of Xi and you estimate the mean µ by using the sample mean estimator 1 x= 1000 1000 Xi . i=1 2. (4 points) Give the approximate distribution of the error x − µ for the above estimate. 3. (4 points) In particular, give the approximate mean and variance of x − µ. Problem 2 (16 points) We consider a discrete time and discrete space Markov chain Xn with state space {0, 1, 2, 3} that has the one-step transition probability matrix 1/3 0 2/3 0 1/2 0 0 1/2 P = 0 1/3 1/3 1/3 0 1/3 0 2/3 and assume that X0 = 0. 1. (5 points) Is this Markov chain irreducible? Justify your answer. 2. (3 points) Compute P (2) . 3. (4 points) Compute E[X2 |X0 = 0]. 4. (4 points) What is the probability that the chain will move to the state 1 for the first time after exactly 2 steps? 1 Problem 3 (22 points) Consider...
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...problems. It is a more straight forward, structured way to seek information from your customers. Through surveys and questionnaires that can be conducted in a number of ways information can be gathered from large groups of participants. Usually they involve closed ended questions, that can effectively organized. The organization of this data is then discussed in the form of numbers and statistics. Using this information the business owner is made aware of a customer’s interest, knowledge, and changes on a product or service. Based on this they can make more informed decisions on the quality of service to their customers. Although a quantative research design can be used primarily it would benefit to use a qualitive research design as well. Part of satisfying your customer is knowing your brand not only objectively but also subjectively. Through quantative research you can monitor your success based on clear cut facts. It does not go into depth as to why your brand is doing well and a qualitive research design can give you insight to customer’s opinions. A qualitive research design is more open to personal feedback. It explores a customer’s thoughts and having access to these thoughts can help...
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...be understood through applied and academic science (Psychology Majors, 2011). Based on this, research using the scientific method is necessary for statistical psychology. Early research and use of scientific method in psychology included the works of Edward Titchener. Titchener used structuralism to explore aspects of the mind. Research through this method focused on introspection, or individual conscious experience. Titchener used a table method similar to a chemistry periodic table to study human behavior. Titchener believed experimentation was the only scientific method to use for the study psychology (Northern Illinois University, 2003). A paradigm in psychology is a set of theoretical assertions that provide a model, abstract picture, or object of study (Kowalski & Westen, 2007, p. 11). A paradigm is a set of shared metaphors that compare any object of study through investigation. Many modern psychologists use innovative approaches to study human behavior to support traditional methods of psychology through use of research using the scientific method. According to Kampis and Karsai (2010), the scientific method can best be learned through research. In addition, to conduct thorough research related to behavior, the scientific method should be followed. The scientific method involves five steps. The primary function of the scientific method begins with an observation. Through an observation, whether individual or group study, a...
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...Riki Shafier Professor Kimberlee Hoftiezer SOS-110 24 January 2016 Music Education: A Personal Journey For the past few years I have been taking different courses, learning many things and preparing myself for the life ahead of me. As a soon-to-be college graduate, the future beckons, bright and inviting. There are endless career opportunities that await those who have put forth the effort to receive an education. The career goals toward which I am currently preparing are to become a highly sought-after piano teacher and piano-teacher trainer with a full roster of students, complete with a waiting list for those who wish to join my studio. I plan to build a fully- developed business model for my piano studio. This plan will include curricula for various ages and skill levels, as well as plans for accommodating specific needs of individual students. The plan will also have processes for the acceptance and rejection of potential students, registration and payment options, and online booking opportunities. This will be optimized through the use of technology. Technology, in all its many forms, has transformed the world we live in, and I anticipate that it will prove to be of great use to me in the development of my career goals. In the short-term, I will be able to train under experienced piano educators and teacher-trainers via Skype lessons and workshops, and use various training software programs to improve my technical and teaching skills. Additionally, I plan to...
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...Blue Pelican Java by Charles E. Cook Version 3.0.5h Copyright © 2004 - 2008 by Charles E. Cook; Refugio, Tx (All rights reserved) 1-1 “Blue Pelican Java,” by Charles E. Cook. ISBN 1-58939-758-4. Published 2005 by Virtualbookworm.com Publishing Inc., P.O. Box 9949, College Station, Tx 77842, US. ©2005, Charles E. Cook. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, recording or otherwise, without the prior written permission of Charles E. Cook. Manufactured in the United States of America. Preface You will find this book to be somewhat unusual. Most computer science texts will begin with a section on the history of computers and then with a flurry of definitions that are just “so many words” to the average student. My approach with Blue Pelican Java is to first give the student some experience upon which to hang the definitions that come later, and consequently, make them more meaningful. This book does have a history section in Appendix S and plenty of definitions later when the student is ready for them. If you will look at Lesson 1, you will see that we go right to work and write a program the very first day. The student will not understand several things about that first program, yet he can immediately make the computer do something useful. This work ethic is typical of the remainder of the book. Rest assured that full understanding...
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...Researching Variable Naming Rules Visual Basic You must use a letter as the first character. You can't use a space, period (.), exclamation mark (!), or the characters @, &, $, # in the name. Name can't exceed 255 characters in length. Generally, you shouldn't use any names that are the same as the functions, statements, and methods in Visual Basic. You end up shadowing the same keywords in the language. To use an intrinsic language function, statement, or method that conflicts with an assigned name, you must explicitly identify it. Precede the intrinsic function, statement, or method name with the name of the associated type library. For example, if you have a variable called Left, you can only invoke the Left function using VBA.Left. You can't repeat names within the same level of scope. For example, you can't declare two variables named age within the same procedure. However, you can declare a private variable named age and a procedure-level variable named age within the same module. Python Must begin with a letter (a - z, A - B) or underscore (_) Other characters can be letters, numbers or _ Case Sensitive Can be any (reasonable) length There are some reserved words which you cannot use as a variable name because Python uses them for other things.- See more at: http://www.w3resource.com/python/python-variable.php#sthash.5AXuVlWN.dpuf Java Variable names are case-sensitive. A variable's name can be any legal identifier — an unlimited-length...
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...SD2720 Module 3 Working with Methods Click Link Below To Buy: http://hwcampus.com/shop/sd2720-module-3-working-with-methods/ SD2720 Module 3 Working with Methods and Encapsulation Lab 3.1 Creating a Method In this lab, you will complete two tasks related to Java methods. The tasks performed in this lab will help you use method overloading and understand ambiguous overloading. Task 1 Write a program for swapping two numbers. In the program: • Create a method by passing primitive values as parameters for checking the result. • Create another method by passing object references as parameters for checking the result. • Identify the difference between two outputs. Task 2 Write a Java program that accepts 10 numbers from the user and finds the greatest and smallest numbers among them. Create two methods, findGreatest() and findSmallest(), to find the greatest and smallest numbers, respectively. Task 3 Write a Java program that implements the following methods: • getNumbers()to accept two numbers from the user. • calculateHCD()to calculate the highest common divisor (HCD) of the two numbers. Please note that it should be a recursive function. • calculateLCM()to calculate the least common multiple (LCM) of the two numbers. Display()to display HCD and LCM. Submission Requirements: Compress your Java project folder and responses in a Microsoft Word document into one zipped folder and submit it to the instructor. Evaluation Criteria:...
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...A Programmer’s Guide to Java™ SCJP Certification Third Edition This page intentionally left blank A Programmer’s Guide to Java™ SCJP Certification A Comprehensive Primer Third Edition Khalid A. Mughal Rolf W. Rasmussen Upper Saddle River, New Jersey • Boston • Indianapolis • San Francisco New York • Toronto • Montreal • London • Munich • Paris • Madrid Capetown • Sidney • Tokyo • Singapore • Mexico City Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book, and the publisher was aware of a trademark claim, the designations have been printed with initial capital letters or in all capitals. The authors and publisher have taken care in the preparation of this book, but make no expressed or implied warranty of any kind and assume no responsibility for errors or omissions. No liability is assumed for incidental or consequential damages in connection with or arising out of the use of the information or programs contained herein. The publisher offers excellent discounts on this book when ordered in quantity for bulk purchases or special sales, which may include electronic versions and/or custom covers and content particular to your business, training goals, marketing focus, and branding interests. For more information, please contact: U.S. Corporate and Government Sales (800) 382-3419 corpsales@pearsontechgroup.com For sales outside the United...
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...Visual Basic – Messages and data input/output Introduction One way for a user to communicate with a procedure is via a dialogue box. The easiest way to do this in VB is to use one of the pre-defined ones. VB has two kinds, a Message box and an Input box. Message box The MsgBox function displays a message, waits for the user to click a button and returns a value indicating which button has been chosen. The simplest MsgBox contains only a message string and an OK button. The general syntax is MsgBox(prompt [,buttons] [,title]), where the quantities within [] are optional arguments, with prompt: string expression displayed in the message (max length 1024 characters) buttons: numerical expression that is sum of values specifying the type of buttons to display, title: string expression displayed in the title bar. Some of the button values are given below. (For a full list see the Help file). Value Constant Display 0 vbOKOnly OK button only 1 vbOKCancel OK and Cancel buttons 3 vbYesNoCancel Yes, No and Cancel buttons 4 vbYesNo Yes and No buttons 32 vbQuestion Query icon 48 vbExclamation Warning message icon 0 vbDefaultButton1 First button is default 256 vbDefaultButton2 Second button is default 512 vbDefaultButton3 Third button is default The value returned by the MsgBox function depends on the button pressed. Some values are listed below. Button selected Value Constant OK 1 vbOK Cancel 2 vbCancel Yes 6 vbYes No 7 vbNo The MsgBox function can be used as a simple debug tool. To...
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.... MC 1. (TCO 13) Text files are what type of file? 4 Points : Sequential Random access Binary Consecutive Instructor Explanation: Lecture / Chapter 13 Edit 3. MC 1. Delete (TCO 13) To create an input file object, what kind of type would you use? 4 Points : ifstream ofstream fstream instream Instructor Explanation: Lecture / Chapter 13.1 Introduction Edit 4. MC 1. Delete (TCO 13) To create an output file object, what kind of type would you use? 4 Points : ifstream ofstream fstream instream Instructor Explanation: Lecture / Chapter 13.1 Introduction Edit 5. MC 1. Delete (TCO 13) The header file that defines the classes for processing and manipulating files is called the _____. 4 Points : Instructor Explanation: Chapter 13.1 Introduction Edit 6. 7. 8. MC 2. Delete (TCO 13) What do the following statements accomplish? ifstream theFile; theFile.open( myFile.txt , ios::in); 4 Points : Opens myFile in read mode Opens myFile in append mode Creates an empty file named myFile Opens a file in input mode to write to Instructor Explanation: Lecture / Chapter 13 Edit 9. MC 2. Delete (TCO 13) What do the following statements accomplish? ofstream theFile; theFile.open( myFile.txt , ios::out); 4 Points : Opens myFile in read mode Opens myFile in append mode Creates an empty file named myFile Opens a file in input mode to write to Instructor Explanation: Lecture / Chapter 13 Edit...
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...Kelli Okuly PT1420 Unit 2 Research Assignment 12-5-2014 Variable naming conventions vary from program to program. In Visual Basic the variable must begin with a letter and you cannot use a space, period (.), or the characters !, @, &, $, # in the name. Visual Basic variable names must be under 255 characters long. You shouldn't use any names that are the same as the functions, statements, and methods in Visual Basic. You end up shadowing the same keywords in the language. To use a basic language function, statement, or method that conflicts with an assigned name, you must explicitly identify it. Precede the fundamental function, statement, or method name with the name of the associated type library. For example, if you have a variable called “Left”, you can only use the “Left” function using “VBA.Left”. In Python, variables must begin with a letter or underscore (_). Other characters can be letters, numbers, or the underscore. Python variables are case sensitive and can be any length, within reason. There are several keywords in Python that are reserved for other functions and cannot be used as variables. For example; print, def, from, not, and return. Variables in Java are referred to as Identifiers. In Java the variable must begin with a letter, an underscore, or a dollar sign ($) although a letter is typically what is used. The other characters may be letters or numbers, no spaces or special characters are allowed. Java identifiers can be any length within...
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...evidence, or otherwise lacks scientific status Nature of science * With science it’s a way of molding reality * 1st testable hypothesis * This generates Predictions * Science is carried out by the scientific method * Supported by hard facts Scientific method * Logical process of evaluation * Has a general flow of how to conduct a experiment * Alhazen started the scientific method * Was from Iraq * He say that the moon would change phases * Every 30 days * Predicted where the starts and consolations would move to * Galileo adopted this Steps of the scientific method * Make observations * Ask questions * Develop hypothesis * A casual explanation * Make predictions * Design experiment to test hypothesis * Collect data and interpret * Make conclusions * Hypothesis confirmed or rejected? * Retest hypothesis if confirmed * Design new hypothesis if rejected Observations * How * Informally, by personal experience * Previous experiments, using senses and instruments * From other scientists in presentations and articles * The information inspires thought process and leads to the hypothesis * Quantative * Includes numbers and units * Qualitative * No numbers or units, but things we observe * After a scientist make these observations they will then recognize a pattern, they will set out to make a hypothesis...
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...Layout Planning Models, Algorithms and computerized l h d d Layout Planning References 1. Tompikins et al., Facility Planning, 3rd edition, John Wiley & Sons Ltd., Singapore,2003. i 2003 2. Richard L.Francis et al., Facility Layout and Location: an analytical d diti approch, 2nd edition, P ti H ll of I di Ltd 2002 h Prentice Hall f India Ltd., 2002. 3. Dr-Ing. Daniel Kitaw, Industrial Management and Engineering Economy 4-1 Introduction • The generation of layout alternatives is a critical step in the facilities planning process, since th l i th f iliti l i i the layout t selected will serve to establish the physical relationships between activities. 4-2 CONT’D • Which comes first, the material handling system or the facility layout? Centralized versus decentralized storage of work in i process(WIP), t li (WIP) tooling, and supplies d li Fixed path versus variable path handling The degree of automation used in handling The type of level of inventory control physical control, control, and computer control of materials. 4-3 Layout procedures • A number of different procedures have been developed to id the facilities l t aid th f iliti planner i d i i l in designing layouts. t Construction type Improvement type 4-4 Apples plant layout procedure • • • • • • • • • • Procure th b si d t P the basic data Analyze the basic data Design the productive process Plan the material flow pattern Consider the handling l h dli plan general material •...
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