SOA Exam P Sample Question 446
Study guide: Exam P-1
Once each morning and once each afternoon, the driver of a delivery truck is assigned to a route with a length that depends upon the items being delivered. The morning route is 5, 10, or 40 miles. The afternoon route is 0, 5, or 30 miles. The routes are assigned with the following probabilities:
| Morning route (miles) | Afternoon 0 | Afternoon 5 | Afternoon 30 |
|---|---|---|---|
| 5 | 0 | 2x |
3x |
| 10 | 0 | 2x |
0 |
| 40 | y |
0 | 0 |
The expected length of the assigned afternoon route is 11 miles.
Calculate the variance of the length of the afternoon route.
- A)
159.0 - B)
168.5 - C)
181.5 - D)
259.0 - E)
269.0
Answer this question and see the worked solution
Concepts tested
- Conditional and Marginal Probability Functions
- Joint Probability Function
- Variance and Standard Deviation