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Unformatted text preview: variance, distributions, law of large numbers, central limit theorem, and so on. You will be required to understand and develop proofs as part of your homework. We will also work through some interesting, exciting applications of the theory, such as applications to number theory, Bayesian spam ltering, sta-tistical sampling and inference, Bayesian Networks and their application to articial intelligence, and perhaps Hidden Markov Models with applications to gambling and speech recognition. 1 Puzzles and Paradoxes will also be discussed occasionally. Probability theory is full of them it is interesting just how often our intution can lead us astray! I also plan to talk about the history behind some of the ideas. For exam-ple, who some of the people were, what contexts they operated in, and what impact their ideas have had on the eld. 2...
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