Probability Distributions

• What is a Random Variable?


  The value depends on the outcome of the random event
• How is a Random Variable represented?


  by capital letters
• 'x' represents the value that 'X' takes
• What is P(X=x)?


  the probability that X=x (takes on the value)
• What is Probability Distribution?


  the probability of any outcome in the sample space
• How can a Probability Distribution for a Random Variable X be represented?

  • in table form
  • in mass function form
• What is Uniform Distribution?


  when the probability is a constant for all values of X
• $∑ P(X=x)=$$1$


  The sum of all probabilities equals 1
• What is a Discrete Random Variable?


  takes finite numbers of values
• What s a Continuous Random Variable?


  takes infinite numbers of values
• How are independent events calculated?

  P(A) x P(B) = P(AnB)