What was the approximate survival rate ( Sx , which is not shown directly in the

Question

What was the approximate survival rate (Sx, which is not shown directly in the table) for a woman between the ages of 75 and 80 in 2005?

A. 0.18
B. 0.6
C. 0.73
D. 0.83

the answer is 0.83, how do you calculate this answer?

TABLE 10.2 Survivorship, Fecundity, and Years of Life Remaining by Age for U.S. Females in 2005 Age (in years) Survivorship Fecundity Expected no. of years of life remaining (at age x) 0.994 0.993 0.992 0.991 0.990 0.987 0.985 0.981 0.976 0.967 0.954 0.936 0.911 0.871 0.814 0.729 0.604 0.436 0.251 0.099 0.022 0.0 0.0 0.0 0.0 0.004 0.203 0.511 0.578 0.479 0.232 0.046 0.003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.9 79.4 75.5 70.6 65.6 60.7 55.9 51.0 46.2 41.4 36.8 32.2 27.8 23.5 19.5 15.6 12.1 10 15 20 25 30 35 40 45 50 60 65 70 75 80 85 90 95 100 6.6 4.7 3.2 2.2 Source: Martin et al. (2009) and Arias et al. (2010).

Explanation / Answer

5 year survival rate, Sx+ 5 = 5* Lx+5 / 5 * Lx

    Survival rate between ages of 75 and 80 = S 75+5 = 5 * L80   /5* L75         

=     5*0.604 / 5* 0.729

   = 0.8285 = 0.83                    

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