Discrete random variable

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  • How to find random variable in probability
  • How to find random variable in statistics

  • What is a random variable in probability
  • Continuous random variable
  • How to find p(x) in probability distribution
  • Probability distribution of discrete random variable example
  • Continuous random variable!

    Random Variables

    A Random Variable is a set of possible values from a random experiment.

    Example: Tossing a coin: we could get Heads or Tails.

    Let's give them the values Heads=0 and Tails=1 and we have a Random Variable "X":

     

    In short:

    X = {0, 1}

    Note: We could choose Heads=100 and Tails=150 or other values if we want!

    It is our choice.

    So:

    • We have an experiment (such as tossing a coin)
    • We give values to each event
    • The set of values is a Random Variable

    Not Like an Algebra Variable

    In Algebra a variable, like x, is an unknown value:

    Example: x + 2 = 6

    In this case we can find that x=4

    But a Random Variable is different ...

    A Random Variable has a whole set of values ...

    ...

    and it could take on any of those values, randomly.

     

    Example: X = {0, 1, 2, 3}

    X could be 0, 1, 2, or 3 randomly.

    And they might each have a different probability.

    Capital Letters

    We use a capital letter, like X or Y, to avoid confusion with the Algebra type of variable.

    Sample Space

    A Random Variable's set of values is the Sample Space

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