Actuarial Notes

SOA Exam P Sample Question 516

Study guide: Exam P-1

Let R be the proportion of right-handed babies among all newborns in a town each year. R has a beta distribution with density function

f(r) = \begin{cases}
k\left[r^{\alpha-1}(1-r)^{\beta-1}\right], & \text{for } 0 < r < 1 \\
0, & \text{otherwise,}
\end{cases}

where \alpha = 13, \beta = 2, and k is a positive constant.

Calculate P[R > 0.9].

  • A) 0.208
  • B) 0.240
  • C) 0.415
  • D) 0.479
  • E) 0.575

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