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You can get/put ideas for what should be on the cheat sheet here. <b> DO NOT SIGN YOUR NAME </b>
 
You can get/put ideas for what should be on the cheat sheet here. <b> DO NOT SIGN YOUR NAME </b>
  
=== Axioms of probability (finite spaces, infinite spaces) ===
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'''Sample Space, Axioms of probability (finite spaces, infinite spaces)'''
  
 
<math> P(A) \geq 0 </math> for all events A
 
<math> P(A) \geq 0 </math> for all events A
  
=== Sequential and continuous probability models ===
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'''Properties of Probability laws'''
  
=== Properties of probability laws ===
 
  
=== Conditional probability ===
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'''Definition of conditional probability, and properties thereof'''
  
=== Independence ===
 
  
=== Conditional Independence ===
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'''Bayes rule and total probability'''
  
=== Random Variables ===
 
  
=== Probability mass functions ===
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'''Definitions of Independence and Conditional independence'''
  
=== Common random variables (Bernoulli, binomial, geometric) and how they come about ===
 
  
=== Functions of random variables ===
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'''Definition and basic concepts of random variables, PMFs'''
  
=== Mean and Variance, and their properties ===
 
  
<math> E[X] = \sum_x x p_X(x) </math>
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'''The common random variables:''' bernoulli, binomial, geometric, and how they come about in problems. ALSo
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their PMFs.
  
=== Joint PMFs of more than one random variable ===
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'''Definition of expectation and variance'''
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'''Joint PMFs of more than one random variable'''

Revision as of 06:35, 18 September 2008

You can get/put ideas for what should be on the cheat sheet here. DO NOT SIGN YOUR NAME

Sample Space, Axioms of probability (finite spaces, infinite spaces)

$ P(A) \geq 0 $ for all events A

Properties of Probability laws


Definition of conditional probability, and properties thereof


Bayes rule and total probability


Definitions of Independence and Conditional independence


Definition and basic concepts of random variables, PMFs


The common random variables: bernoulli, binomial, geometric, and how they come about in problems. ALSo their PMFs.


Definition of expectation and variance


Joint PMFs of more than one random variable

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva