Essential Ideas

Section 13.6: Binomial Distribution

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13.6 Outline

  1. Random variables
    1. definition
    2. binomial random variable
    3. binomial distribution
  2. Binomial experiments
    1. definition; four conditions
      1. fixed number of trials
      2. two mutually exclusive outcomes
      3. trials are independent
      4. probabilities remain constant for each trial
    2. binomial distribution theorem
    3. Bernoulli trials

 

13.6 Essential

… See the whole entry

Section 13.5: Bayes’ Theorem

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13.5 Outline

  1. Probabilities with a partition of a sample space
    1. partition of a set
    2. probability of a partitioned event
  2. A posteriori probabilities
    1. a priori probabilities
    2. a posteriori probabilities
    3. Bayes’ theorem

 

13.5 Essential Ideas

Partition of a set:  A set … See the whole entry

Section 13.4: Calculated probabilities

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13.4 Outline

  1. Keno games
  2. Independent events
    1. independent
    2. dependent
  3. Probability of an intersection
    1. multiplication property of probability
    2. birthday problem
  4. Probability of a union
    1. addition property of probability
    2. probability of independent events
  5. Drawing with and without replacement
  6. Stochastic processes and tree diagrams
… See the whole entry

Section 13.3: Probability Models

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13.3 Outline

  1. Complementary probabilities
    1. symbols
    2. property of complements
  2. Odds
    1. in favor
    2. against
    3. find odds, given the probability
    4. find probability, given the odds
  3. Conditional probability
    1. definition
    2. formula
    3. procedure for using tree diagrams

 

13.3 Essential Ideas

PROPERTY OF COMPLEMENTS:

P(… See the whole entry

Section 13.1: Introduction to Probability

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13.1 Outline

  1. Terminology
    1. experiment
    2. sample space
    3. event
      1. definition
      2. impossible event
      3. simple event
      4. mutually exclusive
    4. die
      1. equally likely outcomes
      2. sample space
  2. Probability
    1. probabilistic model
    2. relative frequency
    3. types of
      1. empirical probabilities (a posteriori)
      2. theoretical probabilities (a priori)
      3. subjective probabilities
    4. law of large
… See the whole entry