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Unformatted text preview: Partial Solutions for Exercises in Naive Decision Making T. W. K¨orner 1 2 Introduction Here is a miscellaneous collection of hints, answers, partial answers and remarks on some of the exercises in the book. I have written in haste in the hope that others will help me correct at leisure. I am sure that they are stuffed with errors ranging from the T E Xtual through to the arithmetical and not excluding serious mathematical mistakes. I would appreciate the opportunity to correct at least some of these problems. Please tell me of any errors, unbridgeable gaps, misnumberings etc. I welcome suggestions for additions. ALL COMMENTS GRATEFULLY RECEIVED. If you can, please use L A T E X2 ε or its relatives for mathematics. If not, please use plain text. My e-mail is twk@dpmms.cam.ac.uk . You may safely assume that I am both lazy and stupid so that a message saying ‘Presumably you have already realised the mistake in Exercise Z ’ is less useful than one which says ‘I think you have made a mistake in Exercise Z because you have have assumed that the sum is necessarily larger than the integral. One way round this problem is to assume that f is decreasing.’ When I was young, I used to be surprised when the answer in the back of the book was wrong. I could not believe that the wise and gifted people who wrote textbooks could possibly make mistakes. I am no longer surprised. To avoid disappointment note that Exercise Z ∗ means that there is no comment. Exercise Z ? means that I still need to work on the remarks. Note also that what is given is at most a sketch and often very much less. It may be easiest to navigate this document by using the table of contents which follow on the next few pages. 3 Contents Introduction 2 Exercise 1.1.1 13 Exercise 1.1.2 14 Exercise 1.1.3 15 Exercise 1.1.4 16 Exercise 1.1.6 17 Exercise 1.1.8 18 Exercise 1.1.9 19 Exercise 1.2.1 20 Exercise 1.2.2 21 Exercise 1.2.3 22 Exercise 1.2.4 23 Exercise 1.4.1 25 Exercise 1.5.1 26 Exercise 1.5.4 27 Exercise 1.5.5 28 Exercise 1.5.6 29 Exercise 1.5.7 30 Exercise 1.5.8 31 Exercise 1.5.9 32 Exercise 1.5.10 33 Exercise 1.6.1 34 Exercise 1.6.4 ∗ 34 Exercise 1.6.5 35 Exercise 1.6.6 36 Exercise 1.6.7 37 Exercise 1.7.2 38 Exercise 1.7.3 39 Exercise 1.7.5 40 Exercise 1.7.6 41 Exercise 1.7.7 42 Exercise 1.7.8 43 Exercise 2.1.1 45 Exercise 2.1.2 46 Exercise 2.2.1 47 Exercise 2.2.3 ∗ 47 Exercise 2.2.4 48 Exercise 2.2.5 49 Exercise 2.2.6 50 Exercise 2.2.8 ∗ 50 Exercise 2.3.1 ∗ (see Exercise 2.3.10) 50 Exercise 2.3.3 51 Exercise 2.3.7 52 4 Exercise 2.3.8 54 Exercise 2.3.10 57 Exercise 2.3.11 59 Exercise 2.4.3 61 Exercise 2.4.4 62 Exercise 2.4.6 63 Exercise 2.4.7 64 Exercise 2.4.8 65 Exercise 2.4.12 ∗ 65 Exercise 2.4.13 66 Exercise 2.4.14 67 Exercise 2.4.15 68 Exercise 2.4.16 69 Exercise 2.4.17 70 Exercise 2.4.21 72 Exercise 2.4.22 73 Exercise 2.4.23 76 Exercise 2.4.24 77 Exercise 2.4.25 78 Exercise 2.5.1 79 Exercise 2.5.2 80 Exercise 2.5.4 81 Exercise 2.5.8 82 Exercise 2.5.10 83 Exercise 2.5.11 Exercise 2....
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This note was uploaded on 02/18/2012 for the course MATH 533 taught by Professor Drewarmstrong during the Fall '11 term at University of Miami.

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Replies - Partial Solutions for Exercises in Naive Decision...

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