Actuarial Notes

SOA Exam P Sample Question 344

Study guide: Exam P-1

Let X be a random variable with probability density function

f(x) = \begin{cases} 2x, & \text{for } 0 < x < 1 \\ 0, & \text{otherwise.} \end{cases}

A sample of size 3 is randomly selected from the distribution. Let Y be a random variable representing the median value from the sample.

Calculate the variance of Y.

  • A) 0.019
  • B) 0.030
  • C) 0.056
  • D) 0.500
  • E) 0.714

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