# hw2 - AMS 311(Fall 2010 Joe Mitchell PROBABILITY THEORY...

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Unformatted text preview: AMS 311 (Fall, 2010) Joe Mitchell PROBABILITY THEORY Homework Set # 2 Due at the beginning of class on Thursday, September 23, 2010. Reminder: Show your reasoning! Read: Ross, Chapter 3, sections 3.1-3.4. Examples to read carefully: Chapter 3: 2a–2g, 3a–3g, 3i–3n, 4a–4f (1). (14 points) Consider an experiment in which three fair dice are rolled. What is the conditional probability that at least one lands on 6, given that the sum of the three dice is at least 15? (2). (14 points) A poll shows that 41 percent of the women and 17 percent of the men that took a weight-loss class kept the weight off for at least one year after completing the class. These people then attended a success party at the end of a year. If 72 percent of the original class were male, (a) what percentage of those attending the party were women? (b) what percentage of the original class attended the party? (3). (14 points) Joe takes part in an ESP experiment. He is asked to pick, randomly, two distinct integers between...
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