Introduction |
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1 | (6) |
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Chapter 1 The Nature of Probability |
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7 | (8) |
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1.1 Probability and Everyday Speech |
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7 | (1) |
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8 | (2) |
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1.3 Throwing or Spinning Other Objects |
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10 | (5) |
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12 | (3) |
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Chapter 2 Combining Probabilities |
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15 | (12) |
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2.1 Either-or Probability |
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15 | (2) |
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17 | (1) |
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2.3 Genetically Inherited Disease --- Just Gene Dependent |
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18 | (3) |
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2.4 Genetically Inherited Disease --- Gender Dependent |
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21 | (2) |
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2.5 A Dice Game --- American Craps |
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23 | (4) |
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25 | (2) |
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Chapter 3 A Day at the Races |
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27 | (10) |
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27 | (2) |
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29 | (4) |
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3.3 The Best Conditions for a Punter |
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33 | (4) |
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35 | (2) |
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Chapter 4 Making Choices and Selections |
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37 | (12) |
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4.1 Children Leaving a Room |
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37 | (2) |
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39 | (3) |
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4.3 Choosing an Email Username |
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42 | (1) |
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4.4 The UK National Lottery |
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43 | (6) |
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47 | (2) |
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Chapter 5 Non-Intuitive Examples of Probability |
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49 | (10) |
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49 | (4) |
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53 | (3) |
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5.3 To Switch or Not to Switch, That is the Question |
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56 | (3) |
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58 | (1) |
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Chapter 6 Probability and Health |
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59 | (12) |
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6.1 Finding the Best Treatment |
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59 | (3) |
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62 | (9) |
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68 | (3) |
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Chapter 7 Combining Probabilities: The Craps Game Revealed |
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71 | (10) |
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7.1 A Simple Probability Machine |
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71 | (3) |
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74 | (2) |
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7.3 The Thrower's Chance of Winning at American Craps |
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76 | (5) |
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79 | (2) |
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Chapter 8 The UK National Lottery, Loaded Dice and Crooked Wheels |
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81 | (20) |
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8.1 The Need to Test for Fairness |
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81 | (2) |
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8.2 Testing Random Numbers |
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83 | (4) |
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8.3 The UK National Lottery |
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87 | (2) |
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8.4 American Craps with Loaded Dice |
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89 | (5) |
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8.5 Testing for a Loaded Die |
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94 | (2) |
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96 | (5) |
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98 | (3) |
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101 | (10) |
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9.1 Variation in Almost Everything |
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101 | (1) |
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102 | (3) |
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105 | (2) |
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107 | (4) |
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110 | (1) |
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Chapter 10 The Normal (or Gaussian) Distribution |
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111 | (18) |
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10.1 Probability Distributions |
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111 | (2) |
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10.2 The Normal Distribution |
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113 | (2) |
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10.3 The Variance and Standard Deviation |
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115 | (2) |
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10.4 Properties of Normal Distributions |
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117 | (2) |
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10.5 A Little Necessary Mathematics |
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119 | (3) |
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10.5.1 Some special numbers |
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119 | (1) |
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120 | (2) |
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10.6 The Form of the Normal Distribution |
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122 | (1) |
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10.7 Random and Systematic Errors |
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123 | (2) |
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10.8 Some Examples of the Normal Distribution |
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125 | (4) |
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10.8.1 Electric light bulbs |
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125 | (1) |
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10.8.2 People on trolleys and under-used resources |
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126 | (2) |
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128 | (1) |
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Chapter 11 Statistics: The Collection and Analysis of Numerical Data |
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129 | (6) |
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11.1 Too Much Information |
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129 | (1) |
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11.2 Another Way of Finding the Variance |
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130 | (1) |
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11.3 From Regional to National Statistics |
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131 | (4) |
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133 | (2) |
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Chapter 12 The Poisson Distribution and Death by Horse Kicks |
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135 | (14) |
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135 | (2) |
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137 | (2) |
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12.3 The Poisson Distribution as a Formula |
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139 | (2) |
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12.4 Death by Horse Kicks |
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141 | (2) |
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12.5 Some Other Examples of the Poisson Distribution |
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143 | (6) |
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12.5.1 Flying Bomb Attacks on London |
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143 | (2) |
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12.5.2 Clustering of a disease |
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145 | (1) |
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12.5.3 Some further examples |
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146 | (1) |
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147 | (2) |
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Chapter 13 Predicting Voting Patterns |
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149 | (10) |
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149 | (1) |
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150 | (3) |
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13.3 Combining Polling Samples |
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153 | (1) |
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13.4 Polling with More than Two Parties |
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154 | (2) |
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13.5 Factors Affecting Polls and Voting |
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156 | (3) |
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158 | (1) |
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Chapter 14 Taking Samples: How Many Fish in the Pond? |
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159 | (12) |
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159 | (1) |
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14.2 Finding Out From Samples |
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160 | (2) |
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14.3 An Illustrative Example |
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162 | (2) |
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14.4 General Comments on Sampling |
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164 | (1) |
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164 | (3) |
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14.6 How Many Fish in the Pond? |
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167 | (4) |
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168 | (3) |
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Chapter 15 Differences: Rats and IQs |
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171 | (6) |
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15.1 The Significance of Differences |
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171 | (2) |
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15.2 Significantly Different---So What! |
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173 | (4) |
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176 | (1) |
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Chapter 16 Crime is Increasing and Decreasing |
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177 | (12) |
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16.1 Crime and the Reporting of Crime |
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177 | (1) |
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16.2 The Trend for Overall Crime in England and Wales |
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178 | (2) |
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16.3 Vehicle Crime, Burglary and Violent Crime |
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180 | (3) |
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183 | (2) |
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16.5 Crime and Politicians |
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185 | (4) |
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186 | (3) |
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Chapter 17 My Uncle Joe Smoked 60 a Day |
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189 | (8) |
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17.1 Genetics and Disease |
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189 | (2) |
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17.2 The Incidence of Smoking in the UK |
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191 | (2) |
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193 | (4) |
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195 | (2) |
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Chapter 18 Chance, Luck and Making Decisions |
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197 | (14) |
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197 | (3) |
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200 | (1) |
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18.3 I Want a Lucky General |
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201 | (2) |
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18.4 To Fight or Not to Fight, That is the Question |
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203 | (3) |
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18.5 The Mathematics of War |
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206 | (5) |
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210 | (1) |
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Chapter 19 Science and Society |
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211 | (34) |
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212 | (2) |
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19.2 Meteorology and Butterflies |
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214 | (9) |
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19.2.1 A demonstration of chaos |
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215 | (3) |
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19.2.2 Meteorological forecasting |
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218 | (5) |
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223 | (16) |
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19.3.1 The greenhouse effect |
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224 | (4) |
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228 | (1) |
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19.3.3 The evidence for global warming |
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229 | (3) |
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232 | (1) |
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19.3.5 Can we know for certain? |
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233 | (4) |
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19.3.6 Better safe than sorry |
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237 | (2) |
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19.4 Nuclear Power Generation |
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239 | (3) |
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19.5 Decision-Making Without Hard Data |
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242 | (3) |
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244 | (1) |
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Chapter 20 The Pensions Problem |
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245 | (14) |
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20.1 A History of Life Expectancy |
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245 | (4) |
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20.2 Supporting the Aged, and Others |
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249 | (3) |
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20.3 The Age Structure of Populations |
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252 | (2) |
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20.4 The Arithmetic of Pensions |
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254 | (5) |
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258 | (1) |
Solutions to Problems |
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259 | (16) |
Index |
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275 | |