SOA Exam P Sample Question 161
Study guide: Exam P-1
The distribution of the size of claims paid under an insurance policy has probability density function
f(x) = c\,x^a, \quad 0 < x < 5
where a > 0 and c > 0 (and f(x) = 0 otherwise).
For a randomly selected claim, the probability that the size of the claim is less than 3.75 is 0.4871.
Calculate the probability that the size of a randomly selected claim is greater than 4.
- A) 0.404
- B) 0.428
- C) 0.500
- D) 0.572
- E) 0.596
Answer this question and see the worked solution