Exploring Stat 110 20 2
Exploring Stat 110 20 2 reveals several interesting facts.
- We discuss location and scale, and standardization. We also make a conscious effort to describe the Law of the Unconscious ...
- We work through some extra examples, such as the coupon collector problem, an example of Universality of the Uniform, ...
- We show how conditional probability sheds light on two of the most famous puzzles in
- We introduce moment generating functions (MGFs), which have many uses in probability. We also discuss Laplace's rule of ...
- We introduce conditional probability, independence of events, and Bayes' rule.
In-Depth Information on Stat 110 20 2
We continue further with conditional probability, and discuss the law of total probability, the so-called prosecutor's fallacy, ... We introduce the Multinomial distribution, which is arguably the most important multivariate discrete distribution, and discuss its ... We fill in the "Bose-Einstein" entry of the sampling table, and discuss story proofs. For example, proving Vandermonde's identity ... We analyze the gambler's ruin problem, in which two gamblers bet with each other until one goes broke. We then introduce ...
Much of this course is about random variables and their distributions. The relationship between a random variable and its ...
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