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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
0.10
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?
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