The following table is from the Social Security Actuarial Tables. For each age, it gives the probability
Question:
The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000and the additional life expectancy for a person of that age. Determine the following using the table:
a. To what age may a female of age 60 expected to live on the average? To what age is a male of age 70 expected to live on average?
b. How many 60-year old females on average will be living at age61? How many 70-year old males on average will be living at age 71?
MALES FEMALES
Age | P(Death within one year) | Number of Living | Life Expectancy | P(Death within one year) | Number of Living | Life Expectancy |
|
|
|
|
|
|
|
|
|
10 | 0.000111 | 99,021 | 65.13 | 0.000105 | 99,217 | 70.22 |
|
20 | 0.001287 | 98,451 | 55.46 | 0.000469 | 98,950 | 60.40 |
|
30 | 0.001375 | 97,113 | 46.16 | 0.000627 | 98,431 | 50.69 |
|
40 | 0.002542 | 95,427 | 36.88 | 0.001498 | 97,513 | 41.11 |
|
50 | 0.005696 | 91,853 | 28.09 | 0.003240 | 95,378 | 31.91 |
|
60 | 0.012263 | 84,692 | 20.00 | 0.007740 | 90,847 | 23.21 |
|
70 | 0.028904 | 70,214 | 12.98 | 0.018938 | 80,583 | 15.45 |
|
80 | 0.071687 | 44,272 | 7.43 | 0.049527 | 594,31 | 9.00 |
|
90 | 0.188644 | 12,862 | 3.68 | 0.146696 | 24,331 | 4.45 |
|
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin