Actuarial Notes

SOA Exam P Sample Question 629

Study guide: Exam P-1

Let Y be a discrete random variable with probability function

p(y) = \begin{cases}
0.2, & \text{for } y = a \\
0.1, & \text{for } y = 1 \\
0.3, & \text{for } y = 3 \\
0.4, & \text{for } y = 10 \\
0, & \text{otherwise,}
\end{cases}

where a is a constant less than 0.

E(Y^2) = 47.8.

Calculate \text{Var}(Y).

  • A) 5.6
  • B) 11.8
  • C) 22.8
  • D) 31.8
  • E) 63.8

Answer this question and see the worked solution

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