SOA Exam P Sample Question 513
Study guide: Exam P-1
A point P is randomly selected in the Cartesian plane in such a way that the distance from P to the origin has a uniform distribution on the interval [0, 3].
Calculate the variance of the area of the circle that is centered at the origin and passes through P.
- A)
9\pi^2/16 - B)
3\pi^2/4 - C)
3\pi^2/2 - D)
36\pi^2/5 - E)
81\pi^2/5
Answer this question and see the worked solution