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The Following Table Is from the Social Security Actuarial Tables

Question 64

Short Answer

The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number living out of an original 100,000, and the additional life expectancy for a person of that age.
Exact Male Female P(Death Number of Life P(Death Number of Life age
 Male  Female Exact Age  P(Death  within one  year)  Number of  Living  Additional  Life  Expectancy  P(Death  within one  year)  Number of  Living  Additional  Life  Expectancy 100.00011199,02165.130.00010599,21770.22200.00128798,45155.460.00046998,95060.40300.00137597,11346.160.00062798,43150.69400.00254295,42736.880.00149897,51341.11500.00569691,85328.090.00324095,37831.91600.01226384,69220.000.00774090,84723.21700.02890470,21412.980.01893880,58315.45800.07168744,2727.430.04952759,3419.00900.18864412,8683.680.14669624,3314.45\begin{array}{c}\quad\quad\quad\text { Male } \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { Female }\\\begin{array}{|c|c|c|c|c|c|c|}\hline{\text {Exact Age }} & \begin{array}{c}\text { P(Death } \\\text { within one } \\\text { year) }\end{array} & \begin{array}{c}\text { Number of } \\\text { Living }\end{array} & \begin{array}{c}\text { Additional } \\\text { Life } \\\text { Expectancy }\end{array} & \begin{array}{c}\text { P(Death } \\\text { within one } \\\text { year) }\end{array} & \begin{array}{c}\text { Number of } \\\text { Living }\end{array} & \begin{array}{c}\text { Additional } \\\text { Life } \\\text { Expectancy }\end{array} \\\hline 10 & 0.000111 & 99,021 & 65.13 & 0.000105 & 99,217 & 70.22 \\\hline 20 & 0.001287 & 98,451 & 55.46 & 0.000469 & 98,950 & 60.40 \\\hline 30 & 0.001375 & 97,113 & 46.16 & 0.000627 & 98,431 & 50.69 \\\hline 40 & 0.002542 & 95,427 & 36.88 & 0.001498 & 97,513 & 41.11 \\\hline 50 & 0.005696 & 91,853 & 28.09 & 0.003240 & 95,378 & 31.91 \\\hline 60 & 0.012263 & 84,692 & 20.00 & 0.007740 & 90,847 & 23.21 \\\hline 70 & 0.028904 & 70,214 & 12.98 & 0.018938 & 80,583 & 15.45 \\\hline 80 & 0.071687 & 44,272 & 7.43 & 0.049527 & 59,341 & 9.00 \\\hline 90 & 0.188644 & 12,868 & 3.68 & 0.146696 & 24,331 & 4.45 \\\hline\end{array}\end{array}
To what age may a female of age 60 expect to live on the average?

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