Actuarial Notes

SOA Exam P Sample Question 631

Study guide: Exam P-1

The joint probability function of X and Y is given by:

\begin{align*}
P[X = 1, Y = 0] &= \frac{1}{8} \\
P[X = 2, Y = 0] &= \frac{1}{4} \\
P[X = 1, Y = 1] &= \frac{1}{2} \\
P[X = 2, Y = 1] &= \frac{1}{8}
\end{align*}

Calculate \text{Var}(Y \mid X = 1).

  • A) \dfrac{4}{25}
  • B) \dfrac{15}{64}
  • C) \dfrac{1}{4}
  • D) \dfrac{3}{4}
  • E) \dfrac{4}{5}

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