Unformatted text preview: B.1 What is the probability that someone who tests positive actually uses steroids? B.2 What is the probability that someone who tests negative does not use steroids? Problem 4 The publicity team for the next Harry Potter movie makes the following deal with CocaCola: Every Coke bottle has a picture of a character from the movie on the bottom of the cover. There are n characters in all, and you want to collect one picture of each. (Assume that each bottle has a picture of a character chosen uniformly at random from the n possible characters, independent of other bottles). 1. Suppose that you have already collected pictures of k characters. What is the expected number of additional bottles you must drink to collect one additional character? 2. What is the expected number of bottles that you must drink to collect all pictures of all n characters?...
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 Fall '07
 CharikarandChazelle

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