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Unformatted text preview: Ch. 11 Understanding Randomness Example: Suppose a cereal manufacturer puts pictures of famous athletes on cards in boxes of cereal in the hope of boosting sales. The manufacturer announces that 20% of the boxes contain a picture of Tiger Woods , 30% a picture of Lance Armstrong , and the rest a picture of Serena Williams . You want all three pictures. How many boxes of cereal boxes do you expect to buy? Ch. 11 Understanding Randomness • We find the answer to the above question using simulation • Idea: Run multiple trials using random digits and average Ch. 11 Understanding Randomness Rules Generate random digits from 0 to 9. 1. If the number is 0 or 1 then assign Woods 2. If the number is 2, 3 or 4 then assign Armstrong 3. If the number is 5, 6, 7, 8 or 9 then assign Williams Are 5 boxes enough? (>5)2 8 7 8 8 (> 5) 5 8 5 4 8 (3)7 2 1 2 2 (> 5) 9 6 2 4 4 (4)7 2 3 1 5 Five people bought 10 boxes (4)1 2 1 6 6 (4)7 7 3 1 1 (5)7 1 8 1 5 (> 5)4 5 6 7 5 (3)2 5 1 5 8 (> 5)9 1 1 6 1 (> 5) 6 1 6 6 8 (3)1 6 4 1 8 (4)1 9 1 3 8 (> 5) 2 7 4 8 2 Ch. 11 Understanding Ch....
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 Spring '08
 dikong
 Randomness, Tiger Woods, sample surveys

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