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THE FOLLOWING TABLE IS FROM THE SOCIAL SECURITY ACTUARIAL TABLES

THE FOLLOWING TABLE IS FROM THE SOCIAL SECURITY ACTUARIAL TABLES

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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 this age. Determine the following using the table:
 
a. To what age may a female of age 60 expected to live on the average?
b. To what age is a male of age 70 expected to live on average?
c. How many 60-year old females on average will be living at age 61?
d. 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


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