Actuarial Notes

SOA Exam P Sample Question 673

Study guide: Exam P-1

Let X and Y be random variables with E(X) = 2, E(Y) = 0, \text{Var}(X) = 1, \text{Var}(Y) = 4 and \rho = \text{Corr}(X, Y) = \dfrac{1}{2}.

Determine the constant c for which X + Y and cX + Y are uncorrelated.

  • A) -3
  • B) -5/2
  • C) -2
  • D) -5/6
  • E) -9/11

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