Notes/UNB/Year 4/Semester 2/STAT2593/2024-01-26.md

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Lecture Topic: Random Variable

Random Variable: Variable with a probability attributed to it Regular Variable: Variable that is more intrinsic, like height Discrete Variable: Variable where each possible value is a finite set or is an infinite set where each element is it's own distinct element, eg first element, second element etc.

Probability Mass Function (pmf): The pmf of a discrete rv is defined for every number x by p(x) = P(X=x)

Mass function criteria:

  • All probabilities have to been between 0 and 1
  • The total probabilities have to equal 1

Expected Value: The summation of the value and the probability of x over the entire set Var?: Variance calculate the expected value but square the variable, then subtract the squared expected value