Solutions Probability

The following table is from the Social Security Actuarial Tables. For each age, it gives the probabi

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 100,000 and 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 age 61? 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