SOA Exam P Sample Question 119
Study guide: Exam P-1
Damages to a car in a crash are modeled by a random variable with density function
f(x) = \begin{cases} c(x^2 - 60x + 800), & 0 < x < 20 \\ 0, & \text{otherwise} \end{cases}
where c is a constant.
A particular car is insured with a deductible of 2. This car was involved in a crash with resulting damages in excess of the deductible.
Calculate the probability that the damages exceeded 10.
- A) 0.12
- B) 0.16
- C) 0.20
- D) 0.26
- E) 0.78
Answer this question and see the worked solution