SOA Exam P Sample Question 587
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 may be 5, 10 or 40 miles. The afternoon route may be 0, 5 or 10 miles. The probabilities with which the pairs of routes have been assigned are:
| Morning route (miles) | Afternoon 0 | Afternoon 5 | Afternoon 10 |
|---|---|---|---|
| 5 | 0 | 2p |
3p |
| 10 | 0 | 2p |
0 |
| 40 | q |
0 | 0 |
The lengths of the assigned afternoon routes have a mean of 6 miles.
Calculate the variance of the length of an afternoon route.
- A)
11.0 - B)
12.0 - C)
16.5 - D)
26.5 - E)
42.0
Answer this question and see the worked solution
Concepts tested
- Conditional and Marginal Probability Functions
- Joint Probability Function
- Variance and Standard Deviation