Actuarial Notes

SOA Exam P Sample Question 404

Study guide: Exam P-1

The joint probability function of X and Y is

p(x,y) = \begin{cases}
\dfrac{24 - 7x - 3y}{126}, & \text{for } x = 0, 1, 2 \text{ and } y = 0, 1, 2 \\
0, & \text{otherwise.}
\end{cases}

Calculate \text{Var}(Y).

  • A) 0.56
  • B) 0.65
  • C) 0.75
  • D) 0.80
  • E) 0.87

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