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assign02 - Math 302.102 Fall 2010 Assignment#2 This...

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Math 302.102 Fall 2010 Assignment #2 This assignment is due at the beginning of class on Wednesday, September 29, 2010. 1. A well-known television advertisement claims that there are two scoops of raisins in a package of Kellogg’s Raisin Bran . Assume that due to variations in the production process, only 93% of packages of Raisin Bran actually contain two scoops. Suppose that Danny McGee randomly selects 50 packages of Raisin Bran. (a) What is the probability that all 50 of Danny’s packages contain two scoops of raisins? (b) What is the probability that at least one of Danny’s packages does not contain two scoops of raisins? (c) What is the probability that exactly one of Danny’s packages does not contain two scoops of raisins? 2. There are twenty songs on my iPod, of which six are by U2, four are by Pink Floyd, three are by Snoop Dogg, and seven are by Sarah McLachlan. Suppose that I want to create a random playlist out of these songs using the iPod’s shuﬄe feature. You may assume that each song will appear exactly once in the playlist, and that any ordering of the twenty songs is as equally likely

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assign02 - Math 302.102 Fall 2010 Assignment#2 This...

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