SOA Exam P Sample Question 83
Study guide: Exam P-1
An actuary determines that the annual number of tornadoes in counties P and Q are jointly distributed as follows:
| Annual number of tornadoes in county P | Annual number of tornadoes in county Q: 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| 0 | 0.12 | 0.06 | 0.05 | 0.02 |
| 1 | 0.13 | 0.15 | 0.12 | 0.03 |
| 2 | 0.05 | 0.15 | 0.10 | 0.02 |
Calculate the conditional variance of the annual number of tornadoes in county Q, given that there are no tornadoes in county P.
- A) 0.51
- B) 0.84
- C) 0.88
- D) 0.99
- E) 1.76
Answer this question and see the worked solution
Concepts tested
- Conditional Probability Function
- Discrete Univariate Distributions
- Variance for Conditional and Marginal Distributions