Random Variables

• Random Experiment

  • An experiment that can be repeated numerous times under the same conditions. 
  • Its result must be independent of one another.
• Outcome - The result of a random experiment.
• Sample Space

  • The set of possible outcomes of a random experiment; denoted by a capital letter, usually 𝑆 
• Random Variable

  • Function that associates a numerical value to every outcome of a random experiment; denoted by a capital letter, usually 𝑋. 
  • The domain is the sample space and the range is some set of real numbers.
• Discrete random variables 

  • a finite number of possible values or an infinite number of values that can be counted
• Continuous random variable 

  • That can assume an infinite number of values that can take decimal or fractional values. (height, weight and temperature)