Suppose you’re listening to radio station ZIPF, a station that randomly plays the top 100 songs according to Zipf’s law: the nth most popular song is played with probability proportional to 1/n. How long would it take on average to hear all 100 songs at least once?
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Zipf's law, Benford's law, and more
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Suppose you’re listening to radio station ZIPF, a station that randomly plays the top 100 songs according to Zipf’s law: the nth most popular song is played with probability proportional to 1/n. How long would it take on average to hear all 100 songs at least once?