Calculate the following probabilities using Table 9.3.

a. The probability that an individual currently aged 44 exact dies while aged either 50 or 51.

b. The probability that an individual currently aged 37 exact dies while aged either 67 or 77.

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Table 9.3 Illustrative life table lx dx X X 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 lx 100,000 814 21 99,186 62 22 99,124 38 23 dx X lx 98,413 85 42 98,328 87 43 98,241 87 44 87 45 99,086 30 24 98,154 24 25 98,067 97,983 99,056 99,032 22 26 84 46 83 83 48 47 99,010 93,925 20 27 97,900 98,990 18 28 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 93,489 93,004 92,467 97,465 95 53 98,899 19 33 97,370 97 54 91,873 98,880 23 34 97,273 103 55 91,217 98,857 29 35 97,170 113 56 90,490 98,828 39 36 97,057 124 57 89,684 98,789 98,737 74 38 98,663 86 39 81 40 83 41 98,577 98,496 52 37 96,933 133 58 96,800 145 59 96,655 155 60 96,500 166 61 96,334 179 62 dx 95,266 94,983 94,668 94,316 dx 1625 1783 1940 77,353 2097 283 67 75,256 2255 315 68 73,001 2403 352 69 70,598 2543 391 70 68,055 2674 2819 436 71 65,381 485 72 62,562 2969 537 73 59,593 3109 594 74 56,484 3218 656 75 53,266 3301 727 76 49,965 3386 806 77 46,579 3455 892 78 43,124 3494 987 79 39,630 3502 36,128 3474 3400 32,654 1334 82 29,254 3300 1472 194 63 96,155 95,961 210 64 230 255 66 95,751 95,521 82,701 81,076 65 79,293 88,792 87,805 1091 80 86,714 1207 81 85,507 84,173 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.