Use Table 9.3 to confirm the expression for _5q30 determined in Example 9.28.

Example 9.28

Using appropriate 1-year survival probabilities, construct an expression for the probability that a life aged 30 exact dies within 5 years.

Transcribed Image Text:

Table 9.3 Illustrative life table x lx dx 100,000 814 21 62 22 99,186 99,124 38 23 98,990 18 28 99,086 30 24 98,154 87 45 99,056 24 25 98,067 84 46 99,032 22 26 97,983 83 47 99,010 20 27 97,900 83 48 97,817 85 49 98,972 19 29 97,732 87 50 98,953 18 30 97,645 89 51 98,935 18 31 97,556 91 52 98,917 18 32 97,465 95 53 98,899 19 33 97,370 34 97,273 29 35 97,170 97 54 98,880 23 98,857 103 55 113 56 97,057 124 57 96,933 133 58 98,828 39 36 98,789 52 37 98,737 74 38 98,663 96,800 145 59 86 39 96,655 155 60 81 40 96,500 166 61 83 41 98,577 98,496 96,334 179 62 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 lx dx 98,413 85 42 96,155 194 64 98,328 87 43 95,961 210 98,241 87 44 95,751 230 65 95,521 255 95,266 283 94,983 94,668 94,316 93,925 93,489 93,004 92,467 91,873 x lx dx X lx dx 82,701 1625 81,076 1783 79,293 1940 66 77,353 2097 2255 67 75,256 315 68 73,001 2403 352 69 70,598 2543 391 70 68,055 2674 436 71 65,381 2819 485 72 62,562 2969 537 73 3109 594 74 656 75 91,217 727 76 806 77 90,490 89,684 892 78 88,792 987 79 39,630 36,128 87,805 1091 80 86,714 1207 81 85,507 1334 82 84,173 1472 X 63 59,593 56,484 53,266 49,965 46,579 43,124 3218 3301 3386 3455 3494 3502 3474 3400 32,654 29,254 3300 Notes: The table is actually based on the mortality of the male population of Britain in the early 1990s and is an extract of the English Life Tables No. 15 published by the Stationary Office.