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Mathematical Statistics HW#5-992

# Mathematical Statistics HW#5-992 - Mathematical...

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Mathematical Statistics-992 Homework #5 Due 4/28/2011 1. From textbook: Sec. 5.4 5, 9, 10, 11 Sec. 5.7 22, 24, 29, 32, 34 Sec. 5. 9 39 2. 機率論的起源 Chevalier de Mere was a mid-seventeenth century high-living nobleman and gambler who attempted to make money gambling with dice. Probability theory had not been developed, but de Mere made money by betting that he could roll at least one 6 on four rolls of one die. Experience led him to believe that he would win more times than he would lose with this bet. When folks would no longer bet on this game with de Mere, he created a new game. He began to bet he would get a total of 12 (or a double 6) on twenty-four rolls of two dice. This seemed like a good bet, but he began losing money on it. He asked his good friend Blaise Pascal to analyze this game - and probability theory was born. Pascal came to realize this would be a losing game for de Mere. Pascal got interested in analyzing other gambling games, and got Pierre de Fermat to work with him. It can be said that

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