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Unformatted text preview: CORRECTIONS TO NAIVE DECISION MAKING T.W.K ¨ ORNER This correction page (dated 4th February 2010) is based on correc- tions by John Haigh and Robert MacKay to whom many thanks Page 4, line -3 Reverse inequality sign. Page 5, line 2 Reverse inequality sign. Page 6 In (iii) reverse both inequality signs. Page 15 Second para of section, reverse inequality sign. Page 53 Exercise 2.4.13, 5th line delete second ‘in’. Page 65 Fifth line of footnote 23 ‘will be discussed’ Page 67 Example 2.5.16, second displayed inequality should read Pr parenleftbiggvextendsingle vextendsingle vextendsingle vextendsingle X 1 + X 2 + ··· + X n n- 1 vextendsingle vextendsingle vextendsingle vextendsingle > δ parenrightbigg ≥ 1- ǫ. Page 69 Let X jk = 1 if A k chooses the j th grotto. Z = n summationdisplay k =1 Y 1 X 1 k + n summationdisplay k =1 Y 2 X 2 k + ··· + n summationdisplay k =1 Y m X mk . Page 75 Exercise 2.6.7, line 1. ‘This part requires’ Page 77 Exercise 2.6.10. I fell asleep at the wheel. Should read I bet a fixed amount t . Thus my fortune X j +1 ( t ) after the j + 1th throw is given by X j +1 ( t ) = braceleftBigg X j ( t ) + tu if the j th throw is heads, X j ( t )- t if the j th throw is tails....
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