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Discrete and Continuous Random Variables

Discrete and Continuous Random Variables. What is a random variable?. A variable whose value is a numerical outcome of a random phenomena Example: Flipping a coin 3 times. Let X be the number of heads. HHH X = 3 HTT X = 1 X can be 0, 1, 2, or 3 for this phenomena. Discrete Variables.

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Discrete and Continuous Random Variables

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  1. Discrete and Continuous Random Variables

  2. What is a random variable? • A variable whose value is a numerical outcome of a random phenomena Example: Flipping a coin 3 times. Let X be the number of heads. HHH X = 3 HTT X = 1 X can be 0, 1, 2, or 3 for this phenomena.

  3. Discrete Variables • Discrete variables have a countable number of possible values Example: How many girls can occur in a family with 4 children X = {0, 1, 2, 3, 4}

  4. Probability Distribution • Family of 4 children, possible outcomes as follows

  5. Probability Histogram

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