Exam P Practice Question 6
Study guide: Exam P-1
A policyholder has an auto policy and a home policy with the same insurer. Let X be the number of auto claims and Y the number of home claims the policyholder files in a year. Their joint probability function is:
Y = 0 |
Y = 1 |
Y = 2 |
|
|---|---|---|---|
X = 0 |
0.30 | 0.10 | 0.05 |
X = 1 |
0.15 | 0.15 | 0.05 |
X = 2 |
0.05 | 0.10 | 0.05 |
Calculate the expected number of home claims given that the policyholder files at least one auto claim.
- A) 0.45
- B) 0.65
- C) 0.71
- D) 0.82
- E) 1.00
Answer this question and see the worked solution
Concepts tested
- Discrete Random Variable
- Joint Probability Function
- Marginal Probability Function
- Conditional Probability Function