SOA Exam P Sample Question 173
Study guide: Exam P-1
Let N denote the number of accidents occurring during one month on the northbound side of a highway and let S denote the number occurring on the southbound side.
Suppose that N and S are jointly distributed as indicated in the table.
N \backslash S |
0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| 0 | 0.04 | 0.06 | 0.10 | 0.04 |
| 1 | 0.10 | 0.18 | 0.08 | 0.03 |
| 2 | 0.12 | 0.06 | 0.05 | 0.02 |
| 3 or more | 0.05 | 0.04 | 0.02 | 0.01 |
Calculate \text{Var}(N \mid N + S = 2).
- A) 0.48
- B) 0.55
- C) 0.67
- D) 0.91
- E) 1.25
Answer this question and see the worked solution