Using the 2001 mortality tables (Table 2 is male and Table 3 is female); find the following probabilities:
1. A male age 20 will die before age 60.
2. Both a male age 60 and a female age 63 will die within one year. (Assume the deaths are independent).
LEWK3_2001 4 og 27 LEWK3_2001 5 og 27 Table 2. Lile table for males: United States, 2001 Total Expectation of life at agex Number surviving to age x 99,074 Table 2. Lile table for males: United States, 2001 Total Probablity Number Person-years number of of dying Number dying lived person-years between surviving to between between lived above ages x to x+1 age x . ages x tox+1 ages to x+1 Age q1x) 1 1x) dx Lex TIX) 0-1 0.007514 100,000 751 99,344 7,426,451 1-2 0.000568 99,249 56 99,220 7,327,107 2-3 0.000378 99,192 37 99,173 7,227,887 34 0.000282 99,155 28 99,141 7,128,713 4-5 0.00023B 99,127 24 99,115 7,029,573 5-6 0.000201 99,103 20 99,093 6,930.A58 6-7 0.000186 99,083 18 6,831,364 7-8 0.000172 99,065 17 99,056 6,732,290 8.9 0.000152 99,048 15 99,040 6,633,234 9-10 0.000127 99,033 13 99,026 6,534,194 10-11 0.000109 99,020 11 99,015 6,435,167 11-12 0.000117 99,009 12 99,004 6,336,152 12-13 0.000172 98,999 17 98,999 6,237,149 13-14 0.000288 98,981 29 98,957 6,138,160 14 15 0.000449 98,952 44 98,930 6,039,193 15-16 0.000627 98,908 62 98,877 5,940,263 16-17 0.000797 98,846 79 98,806 5,841,386 17-18 0.000952 98,767 94 98,720 5,742,580 18-19 0.001080 98,672 107 98,620 5,643,860 19-20 0.001183 98,566 117 98,508 5,545,240 20 21 0.001288 98,450 127 98,386 5,446,732 21-22 0.001391 98,323 137 98,255 5,348,345 22-23 0.001455 98,186 143 98,115 5,250,091 23-24 0.001467 98,043 144 97,971 5,151,976 24-25 0.001441 97,900 141 97,829 5,054,004 25-26 0.001401 97,758 137 97,690 4,956,175 26 27 0.001369 97,621 134 97,555 4,858,485 27-28 0.001347 97,488 131 97,422 4,760,931 28-29 0.001347 97,356 131 97,291 4,663,509 29-30 0.001366 97,225 133 97,159 4,566,218 30-31 0.001390 97,093 135 97,025 4,469,059 31-32 0.001421 96,958 138 96,889 4,372,034 32 33 0.001492 96,820 144 96,748 4,275,145 33-34 0.001575 96,675 152 96,599 4,178,397 34-35 0.001697 96,523 164 96,441 4,081,798 35-36 0.001835 96,359 177 96,271 3,985,357 36-37 0.001978 96,183 190 96,097 3,889,096 37-38 0.002129 95,992 204 95,890 3,792,999 74.3 73.8 72.9 71.9 70.9 69.9 68,9 68.0 67.0 66.0 65.0 64,0 63.0 62.0 61.0 60.1 59.1 58.1 57.2 56.3 55.3 54.4 53.5 52.5 51.6 50.7 49.8 48.8 47.9 47.0 46.0 45.1 44.2 43.2 42.3 41.4 40.4 39.5 Aee 38-39 39-40 40-41 41-42 42-43 43-44 44-45 45-46 46 47 47 48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58 59 59-60 60-61 61-62 62-63 63-64 64 65 65-66 66-67 67-68 69-69 69-70 70-71 71-72 72-73 73-74 Probability of dying between ages x tox+1 OX) 0.002283 0.002444 0.002611 0.002793 0.003004 0.003258 0.003554 0.003886 0.004237 0.004589 0.004921 0.005236 0.005556 0.005909 0.006309 0.006793 0.007382 0.008093 0.008903 0.009781 0.010663 0.011545 0.012504 0.013607 0.014812 0.016133 0.017580 0.019115 0.020802 0.022714 0.024896 0.027275 0.029698 0.032235 0.035146 0.038542 0.042236 0.046267 95,788 95,569 95.336 95,087 94,821 94,536 94,228 93,893 93,528 93,132 92,705 92,249 91,766 91,256 90,716 90,144 89,532 88,871 88,152 87,367 86,512 85,590 84,602 83,544 82,407 81,186 79,877 78,472 76,972 75,371 73,659 71,825 69,866 67,791 65,606 63,300 60,861 58,290 Number Person-years dying lived between between ages x tox+1 ages x to xt1 (x LA 219 95,679 234 95,452 249 95,211 266 94,954 285 94,679 308 94,382 335 94,061 365 93,711 396 93,330 427 92,918 456 92,477 483 92,007 510 91,511 535 90,986 572 90,430 612 B9,B3B 661 89,201 719 88,511 785 87,759 854 86,940 922 86,061 988 85,096 1,058 84,073 1,137 82,976 1,221 81,797 1,310 80,532 1,404 79,175 1,500 77,722 1,601 76,172 1,712 74,515 1,834 72,742 1,959 70,846 2,075 68,829 2,185 66.699 2,306 64453 2,440 62,081 2,571 59,575 2,697 56,942 number of person-years lived above age Tix) 3,697,109 3,601,430 3,505,978 3,410,767 3,315,813 3,221,134 3,126,752 3,032,691 2,938,980 2,845,650 2,752,731 2,660,255 2,568,247 2,476,737 2,385,751 2,295,320 2,205,482 2,116,281 2,027,770 1,940,011 1,853,071 1,767,020 1,681,924 1,597,851 1,514,876 1,433,079 1,352,547 1,273,373 1,195,650 1,119 478 1,044,963 972,221 901,375 832,546 765,847 701,394 639,313 579,738 Expectation of life at age x exi 38.6 37.7 36.8 35.9 35.0 34.1 33.2 32.3 31.4 30.6 29.7 28.8 28.0 27.1 26.3 25.5 24.6 23.8 23.0 22.2 21.4 20.6 19.9 19.1 18.4 17.7 16.9 16.2 15.5 14.9 14.2 13.5 12.9 12.3 11.7 11.1 10.5 9.9 74-75 75-76 Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality Page 6 of 27 6 og 27 LEWK3_2001 LEWK3_2001 7 of 27 Table 3. Lile table for females: United States, 2001 Total lived Expectation of life at asex Probability of dying between ages x tox+1 Table 2. Lile table for males: United States, 2001 Total Probablity Number Person-years number of of dying Number dying person-years between surviving to between between lived above ages x to x+1 age x ages x tox+1 ages x to x+1 Age q1x) dx Lex TIX) 76-77 0.050644 55,593 2,815 54,185 522,796 77-78 0.055222 52,778 2.914 51,321 468,610 78-79 0.060335 49,863 3,009 48,359 417,290 79 80 0.065996 46,855 3,092 45,309 368,931 80-81 0.072380 43,762 3,168 42,179 323,622 81-82 0.079997 40,595 3,247 38,971 281,444 82-83 0.088553 37,347 3,307 35,694 242,472 83-84 0.097926 34,040 3,333 32,374 206,779 84 85 0.108100 30,707 3,319 29,047 174,405 85-86 0.119111 27,387 3,262 25,756 145,358 86-87 0.130979 24,125 3.160 22,545 119,602 87-88 0.143720 20,965 3,013 19,459 97,056 88-89 0.157336 17,952 2,825 16,540 77,597 89-90 0.171818 15,128 2,599 13,828 61,058 90 91 0.187144 12,528 2,345 11,356 47,229 91-92 0.203275 10,184 2,070 9,149 35,873 92-93 0.220156 8,114 1,786 7.221 26,724 93-94 0.237724 6,327 1,504 5,575 19,504 94-95 0.255988 4,823 1,234 4,206 13,929 95-96 0.274552 3,589 985 3,096 9,722 96 97 0.293604 2,604 764 2,221 6,626 97-98 0.312923 1,839 576 1,551 4,405 98-99 0.332381 1,264 420 1,054 2.853 99-100 0.351845 844 297 695 1,800 100 and ever 1.000000 547 547 1,104 1,104 9.4 8.9 8.4 7.9 7.4 6.9 6.5 6.1 5.7 5.3 5.0 4.6 4.3 4.0 3.8 3.5 3.3 3.1 2.9 2.7 2.5 2.4 2.3 2.1 2.0 Age 0-1 1-2 2-3 34 4-5 5-6 6-7 7-8 89 9.10 10-11 11-12 12-13 13-14 14 15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26 27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 ******* 0.006139 0.000477 0.000294 0.000220 0.000177 0.000164 0.000149 0.000138 0.000127 0.000117 0.000111 0.000115 0.000134 0.000174 0.000224 0.000293 0.000355 0.000402 0.000428 0.000436 0.000442 0.000453 0.000463 0.000476 0.000492 0.000511 0.000533 0.000557 0.000583 0.000611 0.000642 0.000680 0.000737 0.000804 0.000888 0.000979 0.001072 0.001172 Number surviving to age x 1x 100,000 99,386 99.339 99,310 99,288 99,270 99,254 99,239 99,225 99,213 99,201 99,190 99,179 99,166 99,148 99,126 99,096 99,061 99,021 98.979 98,936 98,892 98.847 98,802 98,755 98,706 98,656 98,603 98,548 98,491 98,430 98.367 98,300 98,228 98,149 98,062 97,966 97,861 Number Person-years dying lived between between ages x to x+1 ages x tox+1 d(x LX 614 99,467 47 99,3G2 29 99,324 22 99,299 18 99,279 16 99,262 15 99,247 14 99,232 13 99,219 12 99,207 11 99,196 11 99,185 13 99,172 17 99,157 23 99,137 29 99,111 35 99,079 40 99,041 42 99,000 43 98,958 44 98,914 45 98,870 46 98,825 47 98,778 49 99,730 50 98,681 53 98,629 55 98,576 57 98,519 60 98,461 63 98,299 67 98,334 72 98,264 79 98,18B 87 98,105 96 98,014 105 97,913 115 97,803 number of person-years lived above age Tix) 7,953,894 7,854,427 7,755,064 7,655,740 7,556,442 7,457,163 7,357,901 7,258,654 7,159,422 7,060,203 6,960 995 6,861,800 6,762,615 6,663,443 6,564,286 6,465,149 6,365,038 6,266,959 6,167,918 6,068,918 5,964,960 5,871,046 5,772,176 5,673,352 5,574,574 5,475,843 5,377,163 5,278,533 5,179,958 5,081438 4,982,978 4,884579 4,786,245 4,687,981 4,589,792 4,491,687 4,393.672 4,295,760 Expectation of life at agex exi 79.5 79.0 78.1 77.1 76.1 75.1 74.1 73.1 72.2 71.2 70.2 69.2 68.2 67.2 66.2 65.2 64.2 63.3 G2.3 61.3 60.3 59.4 58.4 57.4 56.4 55.5 54.5 53.5 52.6 51.6 SOLG 49.7 48.7 47.7 46.8 45.8 44.6 43.9 Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality LEWK3_2001 8 of 27 LEWK3_2001 9 of 27 Table 3. Lile table for females: United States, 2001 Total Expectation of life at age Table 3. Lile table for females: United States, 2001 Total Probablity Number Person-years number of of dying Number dying lived person-years between surviving to between between lived above ages x to x+1 age x ages x tox+1 ages x tox+1 age Age lx) IX) dx LEXI TIX) 38-39 0.001279 97,746 125 97,684 4,197,957 39-40 0.001391 97,621 136 97,553 4,100,273 40-41 0.001510 97,485 147 97,412 4,002,720 41 42 0.001634 97,338 159 97,259 3,905,308 42-43 0.001762 97,179 171 97,093 3,308,049 43-44 0.001896 97,008 184 96,916 3,710,956 44-45 0.002042 96,824 198 96,725 3,614,040 45-46 0.002202 96,626 213 96,520 3,517,315 46 47 0.002379 96,413 229 96,299 3,420,796 47 48 0.002572 96,184 247 96,060 3,324,497 48-49 0.002779 95,937 267 95,BO3 3,228,437 49-50 0.002995 95,670 287 95,527 3,132,633 50-51 0.003223 95,382 95,230 3,037,107 51-52 0.003470 95,076 330 94,911 2,941,877 52-53 0.003748 94,746 355 94,569 2,846,966 53-54 0.004079 94,391 385 94,198 2,752,397 54-55 0.004479 94,006 421 93,795 2,658,199 55-56 0.004963 93,585 464 93,353 2,564,403 56-57 0.005516 93,120 514 92,864 2,471,051 57-58 0.006109 92,607 566 92,324 2,378,187 58 59 0.006696 92,041 616 91,733 2,285,863 59-60 0.007276 91,425 665 91,092 2,194,130 60-61 0.007915 90,760 718 90,400 2,103,038 61-62 0.008654 90,041 779 89,652 2,012,638 G2-63 0.009453 89,262 844 88,840 1,922,986 63-64 0.010314 88,418 912 87,962 1,834,146 64 65 0.011250 87,506 984 87,014 1,746,184 65-66 0.012265 86,522 1,061 85.991 1,659,170 66-67 0.013396 85,460 1,145 84,888 1,573,179 67-68 0.014652 84,316 1,235 83,698 1,488,291 68-69 0.016039 93,080 1,333 82,414 1,404,593 69-70 0.017547 81,748 1,434 81,031 1,322,179 70 71 0.019110 80,313 1,535 79,546 1,241,148 71-72 0.020753 78,779 1,635 77.951 1,161,602 72-73 0.022705 77,144 1,752 76,268 1,083,641 73-74 0.025045 75,392 1,888 74,448 1,007,373 74-75 0.027576 73,504 2,027 72,491 932,925 75-76 0.030335 71,477 2,168 70,393 860,435 Probability of dying between ages x tox+1 Aee ox) 76-77 0.033381 77-78 0.036700 78-79 0.040487 79 80 0.044935 80-81 0.049727 81-82 0.055103 82-83 0.061550 83-84 0.068637 84 85 0.076890 85 86 0.086088 86-87 0.096130 87-88 0.107126 89-89 0.119117 89-90 0.132134 90-91 0.146194 91-92 0.161298 92-93 0.177431 93-94 0.194556 94-95 0.212615 95-96 0.231529 96-97 0.251194 97-98 0.2714BB 98-99 0.292268 99-100 0.313377 100 and aver 1.000000 42.9 42.0 41.1 40.1 39.2 38.3 37.3 36.4 35.5 34,6 33.7 32.7 31.8 30.9 30.0 29.2 28.3 27.4 26.5 25.7 24.8 24.0 23.2 22.4 21.5 20.7 20.0 19.2 18.4 17.7 16.9 16.2 15.5 14.7 14.0 13.4 12.7 12.0 Number Person-years Number dying lived surviving to between between age x ages x tox+1 ages x tox+1 | ||x| da. LIXI 69,309 2,314 68,152 66,995 2,459 65,766 64.536 2.613 63,230 61,924 2,783 60,532 59,141 2,941 57,671 56,200 3,097 54,652 53,103 3,269 51,469 49,835 3,421 48,125 46,414 3,569 44,630 42,846 3,688 41,001 39,157 3,764 37,275 35,393 3,791 33,497 31,601 3,764 29,719 27,837 3.678 25,998 24,159 3,532 22,393 20,627 3,327 18,963 17.300 3,070 15,765 14,230 2,759 12,846 11,462 2,437 10,243 9,025 2,090 7,980 6,935 1,742 6,064 5,193 1,410 4,4BB 3,783 1,106 3.230 2,678 839 2.258 1,838 1.828 4,093 number of person-years lived above age Tix) 790,042 721,890 656,124 592,894 532,361 474,691 420,039 368,570 320,445 275,816 234,814 197,539 164,042 134,323 108,325 85,932 66,969 51,204 39,257 28,114 20,134 14,070 9,582 6,351 4,093 307 Expectation of life at agex exi 11.4 10.8 10.2 4.6 9.0 8.4 79 7.4 6.9 6.4 6.0 5.6 5.2 4.8 4.5 4.2 3.9 3.6 3.3 3.1 2.9 2.7 2.5 2.4 2.2 *********** Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality LEWK3_2001 4 og 27 LEWK3_2001 5 og 27 Table 2. Lile table for males: United States, 2001 Total Expectation of life at agex Number surviving to age x 99,074 Table 2. Lile table for males: United States, 2001 Total Probablity Number Person-years number of of dying Number dying lived person-years between surviving to between between lived above ages x to x+1 age x . ages x tox+1 ages to x+1 Age q1x) 1 1x) dx Lex TIX) 0-1 0.007514 100,000 751 99,344 7,426,451 1-2 0.000568 99,249 56 99,220 7,327,107 2-3 0.000378 99,192 37 99,173 7,227,887 34 0.000282 99,155 28 99,141 7,128,713 4-5 0.00023B 99,127 24 99,115 7,029,573 5-6 0.000201 99,103 20 99,093 6,930.A58 6-7 0.000186 99,083 18 6,831,364 7-8 0.000172 99,065 17 99,056 6,732,290 8.9 0.000152 99,048 15 99,040 6,633,234 9-10 0.000127 99,033 13 99,026 6,534,194 10-11 0.000109 99,020 11 99,015 6,435,167 11-12 0.000117 99,009 12 99,004 6,336,152 12-13 0.000172 98,999 17 98,999 6,237,149 13-14 0.000288 98,981 29 98,957 6,138,160 14 15 0.000449 98,952 44 98,930 6,039,193 15-16 0.000627 98,908 62 98,877 5,940,263 16-17 0.000797 98,846 79 98,806 5,841,386 17-18 0.000952 98,767 94 98,720 5,742,580 18-19 0.001080 98,672 107 98,620 5,643,860 19-20 0.001183 98,566 117 98,508 5,545,240 20 21 0.001288 98,450 127 98,386 5,446,732 21-22 0.001391 98,323 137 98,255 5,348,345 22-23 0.001455 98,186 143 98,115 5,250,091 23-24 0.001467 98,043 144 97,971 5,151,976 24-25 0.001441 97,900 141 97,829 5,054,004 25-26 0.001401 97,758 137 97,690 4,956,175 26 27 0.001369 97,621 134 97,555 4,858,485 27-28 0.001347 97,488 131 97,422 4,760,931 28-29 0.001347 97,356 131 97,291 4,663,509 29-30 0.001366 97,225 133 97,159 4,566,218 30-31 0.001390 97,093 135 97,025 4,469,059 31-32 0.001421 96,958 138 96,889 4,372,034 32 33 0.001492 96,820 144 96,748 4,275,145 33-34 0.001575 96,675 152 96,599 4,178,397 34-35 0.001697 96,523 164 96,441 4,081,798 35-36 0.001835 96,359 177 96,271 3,985,357 36-37 0.001978 96,183 190 96,097 3,889,096 37-38 0.002129 95,992 204 95,890 3,792,999 74.3 73.8 72.9 71.9 70.9 69.9 68,9 68.0 67.0 66.0 65.0 64,0 63.0 62.0 61.0 60.1 59.1 58.1 57.2 56.3 55.3 54.4 53.5 52.5 51.6 50.7 49.8 48.8 47.9 47.0 46.0 45.1 44.2 43.2 42.3 41.4 40.4 39.5 Aee 38-39 39-40 40-41 41-42 42-43 43-44 44-45 45-46 46 47 47 48 48-49 49-50 50-51 51-52 52-53 53-54 54-55 55-56 56-57 57-58 58 59 59-60 60-61 61-62 62-63 63-64 64 65 65-66 66-67 67-68 69-69 69-70 70-71 71-72 72-73 73-74 Probability of dying between ages x tox+1 OX) 0.002283 0.002444 0.002611 0.002793 0.003004 0.003258 0.003554 0.003886 0.004237 0.004589 0.004921 0.005236 0.005556 0.005909 0.006309 0.006793 0.007382 0.008093 0.008903 0.009781 0.010663 0.011545 0.012504 0.013607 0.014812 0.016133 0.017580 0.019115 0.020802 0.022714 0.024896 0.027275 0.029698 0.032235 0.035146 0.038542 0.042236 0.046267 95,788 95,569 95.336 95,087 94,821 94,536 94,228 93,893 93,528 93,132 92,705 92,249 91,766 91,256 90,716 90,144 89,532 88,871 88,152 87,367 86,512 85,590 84,602 83,544 82,407 81,186 79,877 78,472 76,972 75,371 73,659 71,825 69,866 67,791 65,606 63,300 60,861 58,290 Number Person-years dying lived between between ages x tox+1 ages x to xt1 (x LA 219 95,679 234 95,452 249 95,211 266 94,954 285 94,679 308 94,382 335 94,061 365 93,711 396 93,330 427 92,918 456 92,477 483 92,007 510 91,511 535 90,986 572 90,430 612 B9,B3B 661 89,201 719 88,511 785 87,759 854 86,940 922 86,061 988 85,096 1,058 84,073 1,137 82,976 1,221 81,797 1,310 80,532 1,404 79,175 1,500 77,722 1,601 76,172 1,712 74,515 1,834 72,742 1,959 70,846 2,075 68,829 2,185 66.699 2,306 64453 2,440 62,081 2,571 59,575 2,697 56,942 number of person-years lived above age Tix) 3,697,109 3,601,430 3,505,978 3,410,767 3,315,813 3,221,134 3,126,752 3,032,691 2,938,980 2,845,650 2,752,731 2,660,255 2,568,247 2,476,737 2,385,751 2,295,320 2,205,482 2,116,281 2,027,770 1,940,011 1,853,071 1,767,020 1,681,924 1,597,851 1,514,876 1,433,079 1,352,547 1,273,373 1,195,650 1,119 478 1,044,963 972,221 901,375 832,546 765,847 701,394 639,313 579,738 Expectation of life at age x exi 38.6 37.7 36.8 35.9 35.0 34.1 33.2 32.3 31.4 30.6 29.7 28.8 28.0 27.1 26.3 25.5 24.6 23.8 23.0 22.2 21.4 20.6 19.9 19.1 18.4 17.7 16.9 16.2 15.5 14.9 14.2 13.5 12.9 12.3 11.7 11.1 10.5 9.9 74-75 75-76 Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality Page 6 of 27 6 og 27 LEWK3_2001 LEWK3_2001 7 of 27 Table 3. Lile table for females: United States, 2001 Total lived Expectation of life at asex Probability of dying between ages x tox+1 Table 2. Lile table for males: United States, 2001 Total Probablity Number Person-years number of of dying Number dying person-years between surviving to between between lived above ages x to x+1 age x ages x tox+1 ages x to x+1 Age q1x) dx Lex TIX) 76-77 0.050644 55,593 2,815 54,185 522,796 77-78 0.055222 52,778 2.914 51,321 468,610 78-79 0.060335 49,863 3,009 48,359 417,290 79 80 0.065996 46,855 3,092 45,309 368,931 80-81 0.072380 43,762 3,168 42,179 323,622 81-82 0.079997 40,595 3,247 38,971 281,444 82-83 0.088553 37,347 3,307 35,694 242,472 83-84 0.097926 34,040 3,333 32,374 206,779 84 85 0.108100 30,707 3,319 29,047 174,405 85-86 0.119111 27,387 3,262 25,756 145,358 86-87 0.130979 24,125 3.160 22,545 119,602 87-88 0.143720 20,965 3,013 19,459 97,056 88-89 0.157336 17,952 2,825 16,540 77,597 89-90 0.171818 15,128 2,599 13,828 61,058 90 91 0.187144 12,528 2,345 11,356 47,229 91-92 0.203275 10,184 2,070 9,149 35,873 92-93 0.220156 8,114 1,786 7.221 26,724 93-94 0.237724 6,327 1,504 5,575 19,504 94-95 0.255988 4,823 1,234 4,206 13,929 95-96 0.274552 3,589 985 3,096 9,722 96 97 0.293604 2,604 764 2,221 6,626 97-98 0.312923 1,839 576 1,551 4,405 98-99 0.332381 1,264 420 1,054 2.853 99-100 0.351845 844 297 695 1,800 100 and ever 1.000000 547 547 1,104 1,104 9.4 8.9 8.4 7.9 7.4 6.9 6.5 6.1 5.7 5.3 5.0 4.6 4.3 4.0 3.8 3.5 3.3 3.1 2.9 2.7 2.5 2.4 2.3 2.1 2.0 Age 0-1 1-2 2-3 34 4-5 5-6 6-7 7-8 89 9.10 10-11 11-12 12-13 13-14 14 15 15-16 16-17 17-18 18-19 19-20 20-21 21-22 22-23 23-24 24-25 25-26 26 27 27-28 28-29 29-30 30-31 31-32 32-33 33-34 34-35 35-36 36-37 37-38 ******* 0.006139 0.000477 0.000294 0.000220 0.000177 0.000164 0.000149 0.000138 0.000127 0.000117 0.000111 0.000115 0.000134 0.000174 0.000224 0.000293 0.000355 0.000402 0.000428 0.000436 0.000442 0.000453 0.000463 0.000476 0.000492 0.000511 0.000533 0.000557 0.000583 0.000611 0.000642 0.000680 0.000737 0.000804 0.000888 0.000979 0.001072 0.001172 Number surviving to age x 1x 100,000 99,386 99.339 99,310 99,288 99,270 99,254 99,239 99,225 99,213 99,201 99,190 99,179 99,166 99,148 99,126 99,096 99,061 99,021 98.979 98,936 98,892 98.847 98,802 98,755 98,706 98,656 98,603 98,548 98,491 98,430 98.367 98,300 98,228 98,149 98,062 97,966 97,861 Number Person-years dying lived between between ages x to x+1 ages x tox+1 d(x LX 614 99,467 47 99,3G2 29 99,324 22 99,299 18 99,279 16 99,262 15 99,247 14 99,232 13 99,219 12 99,207 11 99,196 11 99,185 13 99,172 17 99,157 23 99,137 29 99,111 35 99,079 40 99,041 42 99,000 43 98,958 44 98,914 45 98,870 46 98,825 47 98,778 49 99,730 50 98,681 53 98,629 55 98,576 57 98,519 60 98,461 63 98,299 67 98,334 72 98,264 79 98,18B 87 98,105 96 98,014 105 97,913 115 97,803 number of person-years lived above age Tix) 7,953,894 7,854,427 7,755,064 7,655,740 7,556,442 7,457,163 7,357,901 7,258,654 7,159,422 7,060,203 6,960 995 6,861,800 6,762,615 6,663,443 6,564,286 6,465,149 6,365,038 6,266,959 6,167,918 6,068,918 5,964,960 5,871,046 5,772,176 5,673,352 5,574,574 5,475,843 5,377,163 5,278,533 5,179,958 5,081438 4,982,978 4,884579 4,786,245 4,687,981 4,589,792 4,491,687 4,393.672 4,295,760 Expectation of life at agex exi 79.5 79.0 78.1 77.1 76.1 75.1 74.1 73.1 72.2 71.2 70.2 69.2 68.2 67.2 66.2 65.2 64.2 63.3 G2.3 61.3 60.3 59.4 58.4 57.4 56.4 55.5 54.5 53.5 52.6 51.6 SOLG 49.7 48.7 47.7 46.8 45.8 44.6 43.9 Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality LEWK3_2001 8 of 27 LEWK3_2001 9 of 27 Table 3. Lile table for females: United States, 2001 Total Expectation of life at age Table 3. Lile table for females: United States, 2001 Total Probablity Number Person-years number of of dying Number dying lived person-years between surviving to between between lived above ages x to x+1 age x ages x tox+1 ages x tox+1 age Age lx) IX) dx LEXI TIX) 38-39 0.001279 97,746 125 97,684 4,197,957 39-40 0.001391 97,621 136 97,553 4,100,273 40-41 0.001510 97,485 147 97,412 4,002,720 41 42 0.001634 97,338 159 97,259 3,905,308 42-43 0.001762 97,179 171 97,093 3,308,049 43-44 0.001896 97,008 184 96,916 3,710,956 44-45 0.002042 96,824 198 96,725 3,614,040 45-46 0.002202 96,626 213 96,520 3,517,315 46 47 0.002379 96,413 229 96,299 3,420,796 47 48 0.002572 96,184 247 96,060 3,324,497 48-49 0.002779 95,937 267 95,BO3 3,228,437 49-50 0.002995 95,670 287 95,527 3,132,633 50-51 0.003223 95,382 95,230 3,037,107 51-52 0.003470 95,076 330 94,911 2,941,877 52-53 0.003748 94,746 355 94,569 2,846,966 53-54 0.004079 94,391 385 94,198 2,752,397 54-55 0.004479 94,006 421 93,795 2,658,199 55-56 0.004963 93,585 464 93,353 2,564,403 56-57 0.005516 93,120 514 92,864 2,471,051 57-58 0.006109 92,607 566 92,324 2,378,187 58 59 0.006696 92,041 616 91,733 2,285,863 59-60 0.007276 91,425 665 91,092 2,194,130 60-61 0.007915 90,760 718 90,400 2,103,038 61-62 0.008654 90,041 779 89,652 2,012,638 G2-63 0.009453 89,262 844 88,840 1,922,986 63-64 0.010314 88,418 912 87,962 1,834,146 64 65 0.011250 87,506 984 87,014 1,746,184 65-66 0.012265 86,522 1,061 85.991 1,659,170 66-67 0.013396 85,460 1,145 84,888 1,573,179 67-68 0.014652 84,316 1,235 83,698 1,488,291 68-69 0.016039 93,080 1,333 82,414 1,404,593 69-70 0.017547 81,748 1,434 81,031 1,322,179 70 71 0.019110 80,313 1,535 79,546 1,241,148 71-72 0.020753 78,779 1,635 77.951 1,161,602 72-73 0.022705 77,144 1,752 76,268 1,083,641 73-74 0.025045 75,392 1,888 74,448 1,007,373 74-75 0.027576 73,504 2,027 72,491 932,925 75-76 0.030335 71,477 2,168 70,393 860,435 Probability of dying between ages x tox+1 Aee ox) 76-77 0.033381 77-78 0.036700 78-79 0.040487 79 80 0.044935 80-81 0.049727 81-82 0.055103 82-83 0.061550 83-84 0.068637 84 85 0.076890 85 86 0.086088 86-87 0.096130 87-88 0.107126 89-89 0.119117 89-90 0.132134 90-91 0.146194 91-92 0.161298 92-93 0.177431 93-94 0.194556 94-95 0.212615 95-96 0.231529 96-97 0.251194 97-98 0.2714BB 98-99 0.292268 99-100 0.313377 100 and aver 1.000000 42.9 42.0 41.1 40.1 39.2 38.3 37.3 36.4 35.5 34,6 33.7 32.7 31.8 30.9 30.0 29.2 28.3 27.4 26.5 25.7 24.8 24.0 23.2 22.4 21.5 20.7 20.0 19.2 18.4 17.7 16.9 16.2 15.5 14.7 14.0 13.4 12.7 12.0 Number Person-years Number dying lived surviving to between between age x ages x tox+1 ages x tox+1 | ||x| da. LIXI 69,309 2,314 68,152 66,995 2,459 65,766 64.536 2.613 63,230 61,924 2,783 60,532 59,141 2,941 57,671 56,200 3,097 54,652 53,103 3,269 51,469 49,835 3,421 48,125 46,414 3,569 44,630 42,846 3,688 41,001 39,157 3,764 37,275 35,393 3,791 33,497 31,601 3,764 29,719 27,837 3.678 25,998 24,159 3,532 22,393 20,627 3,327 18,963 17.300 3,070 15,765 14,230 2,759 12,846 11,462 2,437 10,243 9,025 2,090 7,980 6,935 1,742 6,064 5,193 1,410 4,4BB 3,783 1,106 3.230 2,678 839 2.258 1,838 1.828 4,093 number of person-years lived above age Tix) 790,042 721,890 656,124 592,894 532,361 474,691 420,039 368,570 320,445 275,816 234,814 197,539 164,042 134,323 108,325 85,932 66,969 51,204 39,257 28,114 20,134 14,070 9,582 6,351 4,093 307 Expectation of life at agex exi 11.4 10.8 10.2 4.6 9.0 8.4 79 7.4 6.9 6.4 6.0 5.6 5.2 4.8 4.5 4.2 3.9 3.6 3.3 3.1 2.9 2.7 2.5 2.4 2.2 *********** Source: CDC/NCHS, National Vital Statistics Systen, Mortality. Source: COC/NCHS, National Vital Statistics Systern, Mortality
