Expected values

    Cards (11)

    • DRVs:
      E(X) = sum of x*p
    • DRVs:
      Var(X) = E(X^2) - E(X)^2
    • DRVs:
      Mode = value of X with greatest probability
    • DRVs:
      Median = P(X=<M) = 0.5
      P(X=>M) = 0.5
    • DUDs:
      E(X) = (n+1)/2
    • CRVs: E(X) = ∫ x*f(x)​ dx
      Limits are -infinity and infinity
    • CRVs: E(X^2) = ∫ x^2*f(x)​ dx
      Limits are -infinity and infinity
    • CRVs:
      Var(X) = E(X^2) - E(X)^2
    • CRVs:
      Lower quartile Q1 =CRVs: ∫ f(x) dx = 1/4
      Limits are -infinity and Q1

      Median [M] would be between -infinity and M, and would be equal to 1/2
    • CRVs:
      E(aX + b) = aE(X) + b
      Var(aX + b) = a^2Var(x)
    • DRVs:
      E(X^-2) = \sum 1/x^2 * P(X=x)
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