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

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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
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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
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