Notation shorthand for probability Take

We can write this in short hand like:

P vs p Upper case P for probability mass function (one shot chance), lower case p for probability density functions (integral) New Concepts degrees of belief and describing them using the language of probability discrete distribution and continuous distribution and joint probability distribution important tools: parameters of a distribution probability density functions cumulative distribution function quantile function fun probability distributions Gaussian distribution + Truncated Gaussian distribution uniform distribution conditional probability and Bayes Theorem unique models that leverage conditional probability conditional Gaussian models linear gaussian model conditional linear Gaussian models: use your big brain to add up 1) and 2), with continuous random variables X, Y, and a discrete Z, where p(x \mid y, z). sigmoid model Baysian Network and conditional independence d seperation Important Results / Claims history and impact of decision making law of total probability fun axioms belief axioms: universal comparability transitivity probability axioms: axiom of probability Methods of Compressing the Parameters of a Distribution assuming independence using a decision tree checking for conditional independence Questions