1. Suppose that Demoivre's law holds with ω = 100. Consider two lives (80) and (60).
(a) What is the probability that the first death will occur between time 5 and time 10?
(b) What is the probability that the second death will occur between time 5 and time 10?
2. The following is a portion of a select and ultimate table with a select period of 2 years.
|
x
|
q[x]
|
q[x]+1
|
qx+2
|
x + 2
|
|
60
|
0.08
|
0.14
|
0.22
|
62
|
|
61
|
0.09
|
0.20
|
0.25
|
63
|
|
62
|
0.10
|
0.20
|
0.30
|
64
|
A and B are both age 62. A is a newly selected life, while B was first selected at age 61. What is the probability that the second death of A and B will occur between 2 and 3 years from now?