the probability

Homework
Refer to the following table for problems 1) & 2) :
Age lx
90 1000
91 875
92 l92
93 639
94 502
95 369
96 l96
97 132
98 61
99 17
100 0
1) Given the life table above, determine the probability that at least one of two independent lives,
aged 90 and 92, dies within the next two years.
A) 0.496 B) 0.498 C) 0.500 D) 0.502 E) 0.504
2) Given …
? The life table above
? 2|4q90 = 0.55
? 4|q92 = 0.12
Calculate the probability that a life aged 92 dies within the next 4 years.
A) 0.69 B) 0.70 C) 0.71 D) 0.72 E) 0.73
3) Given

, Determine ? x +18.5 .
A) 0.33 B) 0.67 C) 1.00 D) 1.33 E) 1.67
4) Given

Calculate P( 15 ? Kx < 25 ) P(15 < Kx ? 25 )
A) -0.02 B) -0.01 C) 0.00 D) 0.01 E) 0.02
5) Given

, Determine ?
.
A) 0.15 B) 0.20 C) 0.25 D) 0.30 E) 0.35
6) The “limiting age” for a mortality model (if a limiting age exists) is the first age ? for which
l? = 0 (or in some cases, such as when x ? [0, ?], the first age for which l? is effectively 0).
Given k|qx =
, for k ? { 0, 1, 2, …, ? – x – 1 } (where c is a constant), and ex = 64.5, …
Solve for c.
7) Given tpx ?x+t = {
Calculate the complete expectation of life for an individual of attained age x.
8) The probability that a newborn survives to age x is equal to the following expression:

,
Determine 2|q10 .
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