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PROBABILITY THEORY - Coggle Diagram

- - - - Discrete Probability Distribution p(x)
        
        Probability Mass Function (must sum to 1)
        
        p(x) >= 0
      - Continuous Probability Distribution f(x)
        
        Probability Density Function
        
        values of pdf must be non-negative
        
        total area under the curve is 1
  - - - Shape & Location
- - - - distribution could be not normal
      - finite mean, finite variance
      - sufficiently large sample size
    - - dont require large sample size
- - - - Sample Point
      - SUBSET: EVENT
        
        Sure event (sample space)
        
        Impossible event
      - 2 ways to present
        
        Roster
        
        Rule
  - - - Axiomatic Definition of Probability
      - Approaches to Assigning Probability
        
        A priori
        
        A posteriori
        
        Subjective
      - Conditional Probability
      - Independence of Events