# HW01_-_IE_332_-_09F - still show all work to receive credit...

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Department of Industrial Engineering Daejeon 305-701, Republic of Korea IE 332 Operations Research II Fall 2009 Homework 1 Assigned: Wednesday, September 2, 2009 Due Date: Monday, September 28, 2009 Reading: Introduction to Probability Models, 9 th Edition , Chapter 1: All Introduction to Probability Models, 9 th Edition , Chapter 2: NOT 2.5.4, 2.6.1, 2.8 Introduction to Probability Models, 9 th Edition , Chapter 3: NOT 3.6, 3.7 (except what we cover in class) Problems: (SHOW ALL WORK!) Chapter 1: Problems 3, 13, 31 (two dice are rolled), 44 Chapter 2: Problems 9, 13, 34, 37, 52(c), 61, 66 Chapter 3: Problems 1, 3, 12, 17, 25, 41, 57, 92 Note: In addition to homework that you turn in for credit, I suggest that you also solve all exercises in each chapter (for the sections we cover) and resolve all examples from class (which are typically from the book). Note: The solutions to *starred problems are given in the back of the book. You must

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Unformatted text preview: still show all work to receive credit! Note: Do not hesitate to attend office hours (the times and locations are printed on the syllabus)! You may also schedule office hours at other times by e-mailing your TA’s or Instructor for an appointment. 3. A coin is to be tossed until a head appears twice in a row.What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times? 13. The dice game craps is played as follows. The player throws two dice, and if the sum is seven or eleven, then she wins. If the sum is two, three, or twelve, then she loses. If the sum is anything else, then she continues throwing until she either throws that number again (in which case she wins) or she throws a seven (in which case she loses). Calculate the probability that the player wins....
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• Spring '09
• Various.
• Dice, PROBABILITY MODELS, Craps, Department of Industrial Engineering Daejeon, Industrial Engineering Daejeon

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