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Lecture03 [Jan 07 2011]
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Pr. Sahami covers sample space, events, and the axioms of probability. He closes out the lecture with examples of the Inclusion-Exclusion Identity, as well as applications to poker and birthdays.
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Lecture04 [Jan 10 2011]
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In this lecture, Pr. Sahami introduces the concept of conditional probability. The basic concepts are covered, as well as an introduction to Bayes rule, and applications to card problems, drug testing,...
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Lecture05 [Jan 12 2011]
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Professor Sahami discusses independence via various examples, including dice, hash tables, card games, etc. Bayes theorem applications and interaction with conditional probability.
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Lecture06 [Jan 14 2011]
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Professor Sahami links the previous two lectures with a discussion on Conditional Independence, as well as introducing random variables with the Binomial Random Variable. The class finishes up with an...
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Lecture07 [Jan 19 2011]
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In this lecture, Professor Sahami shows how Vegas uses the laws of probability to make money on casino games. He also introduces the topic of variance and explains how it's calculated and interpreted....
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Lecture08 [Jan 21 2011]
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Professor Sahami goes into detail about several different probability distributions, including: binomial random variable, poisson random variable, negative binomial random variable, and hypergeometric...
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Lecture09 [Jan 24 2011]
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Professor Sahami shifts over from discussing discrete probability distributions to introducing continuous probability distributions. An introduction to probability density functions and cumulative distribution...
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Lecture10 [Jan 26 2011]
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In this lecture, Professor Sahami introduces the normal random variable. We see many examples of it, as well as the normal approximation to the binomial. At the end of class, the exponential distribution...
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