1、1号！言中华人民共和国国家标准数据的统计处理和解释二项分布可靠度单侧置信下限Statistical interpretation of data ()ne sided reliability confidence lower limit 之扣J,i二的，产品可靠度R不小二对应的在夕！值凡的概叶J不低Jv. l111 1. 4. 2 数表的参数也国与友Jiti: P IR二RL) J 0.50 (0.10) 0.90，。.95,0.99 n = 1 ( 1 ) 70 ( 5) JOO (JO) 140 (20) 200 (50) IOOll F二。（1 ) 20 1. 5 4；标准所州数,t.未
2、给出的L f自己I利用本标准提供的数据内插iI 赁，也叫技本书）i往间J,ft！；：朽的近似公式iI ：o 1.6 1.:z1H,1、例国家标准局198501 29发布1985 10 01实施6 0 GB 4087.3 85 例I: )ti;爆炸螺栓试验100件，失败一件，规定置信水乎为0.90，求可靠度单但l民j，；叫民。相应Jn=!OO,F二1，二0.90查表得RL = 0.96166 伽Ll2 : 一电f设备使用均命llbi从指数分布，其任务时间t0 = 250小时，今试验数”二80，失败数F三2 ,+( i L.求失放时间，民的水干为0.90，求该设备失放率k限仇。根据指数分升J可靠性
3、1ii!-f理论有：R A. t, L =e 国此1 1 ”二ln一瞌tO J?L 相应Jn=80,F= 2， 0. 90查表得RL二0.93484注1I I 儿一ln250 0. 93484 = 0. 00026952 3 I GB 087.3-85 2 二项分布可靠度单侧置信下限RL数表二，50tv ! f 。l 2 3 4 0 6 1 . 50000 .00000 2 .70711 .29289 .00000 3 . 79370 . 50000 .20630 .00000 4 .84090 .61427 38573 .15910 .00000 .I .87055 .68619 50000
4、 . 31381 .12945 .00000 6 .89090 .73555 .57859 .42141 . 26445 .10910 .00000 7 .90572 .77151 63588 .50000 .36412 .22川！49.0942R 8 .91700 .79887 67948 .55984 .44016 .32052 .20113 9 .92587 .82038 . 71376 . 60692 .50000 . 39308 .28624 LO .93303 .83774 . 74143 .64490 .54831 .45169 35510 LI .93893 . 85204 .
5、 76421 .67620 .58811 .50000 .41189 12 94387 . 86402 . 78331 .70242 62147 .54049 .45951 13 94808 . 87421 .79955 . 724 72 64984 57492 .50000 14 .95170 .88298 .81353 .74392 .67425 .60456 .53485 15 .95484 .89060 .82568 .76061 . 69548 63033 .56517 16 .95760 .89730 .83635 .77526 . 71411 65295 .59177 17 .9
6、6005 .90322 .84578 .78822 . 73060 . 67296 .61531 18 .96222 .90849 .85419 .79976 74529 .69079 .63629 19 .96418 .91322 .86173 .81011 .75846 70678 .65509 20 .96594 91749 .86853 .81945 ,77033 .72120 .67205 21 96753 .92136 .87469 . 82791 .78109 73426 .68742 22 .96898 . 92488 .88030 .83561 . 79089 .74616
7、.70141 23 .97031 .92809 .88542 .84266 . 79985 . 7 5703 . 71420 24 .97153 .93105 .89013 .84912 . 80808 .76701 . 72594 25 .97265 .93377 .89447 .85508 .81565 .77621 .73676 26 .97369 93628 .89847 86058 .82265 .78471 .74675 27 . 97465 .93861 .90219 .86568 .82914 . 79258 75602 28 .97555 . 94078 .90564 .87
8、042 .83517 79990 76463 29 .97638 . 94280 . 90885 .87483 . 84078 .80672 .77265 30 .97716 . 94468 91186 .87896 .84603 .81309 .78014 31 .97789 .94645 .91467 88282 .85094 .81906 .78716 32 .97857 .94810 .91731 88645 .85555 .82465 .79374 33 .97921 .94966 .91979 . 88985 .85989 . 82991 .79993 34 97982 95113
9、 .92213 .89306 .86397 .83486 .80575 35 .98039 .95251 . 92433 .89609 86782 .8394 . 81125 36 .98093 . 95382 .92641 .89894 .87145 .84395 .81645 37 . 98144 .95505 92838 .90165 .87490 .84813 .82136 38 .98192 .95622 .93025 .90422 .87816 .85209 .82602 39 .98238 . 95734 .93202 .90665 .88126 . 85585 . 83044
10、40 .98282 .95840 .93371 .90897 .88420 .85943 .83465 41 . 98324 .95940 .93531 .91117 .88700 .86283 .83865 42 .98363 .96036 .93684 .91327 .88967 86607 .84246 43 98401 .96127 93830 .91527 .89222 .86916 .84609 44 98437 .96215 .93969 .91718 .89465 .87211 84957 45 .98471 .96298 .94102 .91901 . 89697 .8749
11、3 . 85288 46 . 98504 .96378 .94229 .92075 89920 87763 85606 47 .98536 . 96455 .94351 . 92243 .90132 .88021 .85910 48 .98566 96528 .9446M .92403 .90337 .88269 .86201 49 . 98595 .96598 .9458D .92557 .90533 88507 . 86481 50 . 98623 96666 .94688 92705 . 90721 88735 .86750 62 GB 4087. 3 85 伊12345N 7 8 67
12、89四.00000 .08300 .17962 .25857 00000 .07413 16226 -2345 Ill- .32380 .37853 .42508 .46515 .50000 23579 29758 .35016 39544 .43483 67890 11112 .53059 .55766 .58177 .60340 .62289 .46941 .50000 .52726 .55170 .57374 12345 22222 .64057 .65665 .67137 .68487 .69730 .59371 .61190 62853 .64379 .65785 67890 222
13、23 .70880 .71945 .72935 .73857 .74719 .67084 .68288 .69407 70450 .71424 l2345 33333 .75526 76283 . 76994 .77664 78296 .72335 .73191 73995 .74752 75467 67890 33334 .78893 .79459 .79995 .80503 .80986 .76142 .76781 .77387 .77962 . 78508 12345 44444 .81446 .81885 82303 82702 .83083 .79028 .79523 .79996
14、.80447 .80878 67890 44445 83448 .83798 .84133 .84455 .84764 .81291 .81686 .82065 .82429 .82778 斗.509 .00000 06697 .14796 .21669 .27528 32575 .36967 .40823 44234 .47274 .50000 52458 54686 .56114 .58569 .60271 .61839 63287 .64630 .65878 .67041 .68128 . 69145 .70099 70996 .71841 . 72638 .73391 .74103 .
15、 7 4719 .75420 . 7 6029 .76609 .77162 .77689 .78192 78673 .79133 .79574 .79997 .80402 .80791 10 12 1 1 13 .00000 .06107 .13598 .20045 .25608 . 30452 00000 .05613 .12579 .18647 .23939 .00000 .05192 .11702 .17432 . 00000 04830 .10940 .34705 .38469 .41823 .44830 .47542 .28589 .32704 .36371 .39660 .4262
16、6 22474 .26940 .30921 .34491 .37711 矗16365.21118 .25471 .29322 32795 .50000 .52238 .54284 56163 57893 .45314 4 7762 50000 52054 . 53946 40629 .43286 .45716 47946 .50000 .35943 .38810 .41431 .43837 .46054 .59491 .60973 .62350 .63633 .64832 .55695 .57315 .58822 .60225 .61536 .48102 .50000 .51764 .5340
17、8 .54944 .51898 .53658 .55293 .56817 58240 .65954 .67007 .67997 .68929 .69808 .62764 .63915 .64997 .66017 .66978 .59573 .60823 .61998 .63105 .64149 .56382 .57731 .58999 . 60193 .61319 .70639 .71425 .72171 .72878 . 73550 .65135 .66069 .66954 .67794 .68593 .62384 .63391 .64346 .65252 .66114 .67887 687
18、47 .69562 .70336 .71072 .74190 .74800 .75381 75937 . 76468 69353 70076 . 70767 .11426 .72056 .66934 .67715 68460 .69171 .69851 .71771 .72438 73074 73681 7 4262 .76975 .77462 .77928 .78375 . 78805 .72660 73237 . 73791 .74322 .74832 70502 .71125 .71722 . 72295 .72846 .74817 .75349 75859 .76349 . 76819
19、 63 4087. 3-85 50 17 GB 20 19 18 16 15 14 11 / f 12345 6789m .00000 .00000 .os1s 12345 11111 .00000 .00000 . 03406 00000 .03582 .08251 .00000 .03778 .08678 .13147 .00000 .03995 .09151 .13827 .18055 04240 09678 .14581 .18989 .22967 .10270 .15422 . 20024 .24154 .27880 67890 11112 .03247 07512 .1!458 1
20、508R 18435 .07864 .11970 .15734 .19192 22379 .12531 .16439 .20015 .23299 26324 .17209 .20911 .24297 27406 .30270 .21891 .25384 28580 .31513 .34215 .26574 .29859 .32863 . 35621 .38161 .31258 34335 .37147 .39729 .42107 12345 22222 .21529 . 24398 .27065 .29550 .31872 .25325 .28055 .30593 .32959 .35168
21、.29120 .31712 .34122 .36367 .38464 .32916 .35370 .37650 .39775 41760 .36713 .39027 .41178 43183 .4切56. 40509 .42685 .44707 .46592 .48352 .44305 46342 .48236 .50000 .51648 67890 22223 .34046 .36085 . 38002 . 39807 .41511 .37236 .39177 .41001 .42720 44340 .40427 .42269 44001 .45632 .47170 . 4361自. 453
22、62 47001 .48544 .50000 .46809 .48454 .50000 .51456 .52830 .50000 51546 52999 .54368 55660 .53191 .54638 .55999 .57280 .58489 12345 33333 .43120 .44644 国46087.47458 .48760 45872 .47322 .48696 .50000 .51240 .48624 .50000 .51304 .52542 .53719 .51376 .52678 .53913 .55084 .56198 .54128 55356 56521 .57626
23、 .58677 .56880 .58035 .59129 .60168 .61156 .59632 .60713 .61738 62710 .63635 67890 33334 .50000 .51181 .52307 .53383 .54411 .52419 53543 .54615 .55639 .56617 .54838 .559-05 56922 .57894 . 58823 .57257 .58267 59230 .60149 61028 .59676 .60629 .61537 .62405 .63234 .62095 62991 .63845 .64660 .65440 .645
24、14 .65353 .66152 .66916 .67645 12345 44444 55395 .56337 .57241 .58107 58940 .57553 .58450 .59310 . 60134 .60926 .59711 60563 .61378 .62161 .62913 .61869 .62675 .63447 .64188 .64900 .64028 .64787 .65516 .66215 .66886 .66186 .66900 .67585 . 68242 .68873 68344 .69012 .69653 70269 .70859 67890 44445 64
25、GB4087. 3 85 1= .50 IV / /- 。1 2 3 4 。6 50 .98623 9日666. 94688 . 92705 90721 .88735 .86750 51 .986511 !6731 . 94791 . 928.J7 .90901 . 88955 87008 52 .98676 96793 94891 . 92984 91075 .89166 87256 53 .98701 .96853 94987 .93115 . 912!3 89369 .87495 54 .98725 969!1 95079 . 93242 91404 .89565 .87725 55 .
26、 987 48 .96967 95168 . 93364 .91559 89753 .87947 56 98770 .97021 95254 .93482 .91709 . 89935 .88161 57 . 98791 97073 . 95336 93596 .91853 .90111 88367 58 .98812 .97123 .95416 .93705 .91993 90280 88567 59 98832 .97172 .95493 .93811 92128 90444 .88759 60 .98851 .97219 .95568 .93914 .92259 .90602 . 889
27、46 61 98870 . 97264 .95640 .94013 . 92385 .90756 89126 62 98888 .97308 . 957 ! 0 .94109 .92507 90904 .89300 63 .98906 .97350 95778 .94202 . 92625 91047 .89469 64 .98923 .9739l . 95844 .94292 . 927 40 .91187 .89633 65 98939 -97431 .95907 . 94380 . 92851 .91321 .89792 66 .98955 .97470 .95969 94465 .92
28、959 .91452 . 89946 67 .98971 .975B .96029 .94547 . 93063 . 91579 .90095 68 . 98986 . 97544 96087 .94627 .93165 .91702 . 90240 69 99000 97580 96143 .947G4 .93263 .91822 . 90381 70 .99015 97614 96198 .94779 . 93:159 . 91938 90517 75 .99080 .97772 .96451 .95126 93800 .92473 .91147 80 .99137 97911 .9667
29、1 .95429 .94186 92942 91698 85 .99188 . 98033 .96866 .95697 .94526 .93355 .92184 90 .99233 .98142 .97040 . 95935 . 94829 .93723 .92617 95 .99273 .98240 . 97195 .96148 .95101 . 94052 .93004 100 .99309 .98327 .97335 .96340 .95345 .94349 .93353 110 .99372 .98479 .97576 96672 .95767 .94861 93955 120 . 9
30、9424 .98605 .97778 96949 .96118 .95288 94457 130 . 994 6R . 9 8712 .97948 . 97183 96416 . 95650 . R4883 14 0 . 99506 .98804 .98095 .97383 .96672 .95960 95247 160 99568 .98953 .98332 .97710 . 97087 . 96464 . 95840 180 .99616 99069 .98517 .97964 97410 . 96856 .96302 200 .99654 .99162 .98665 98167 9766
31、8 .97170 .96671 250 .99723 .99330 .98932 . 98533 .98134 .97735 97336 300 .99769 .99441 .99110 .98777 . 98445 .98112 97779 350 .99802 . 99521 . 99237 . 98952 . 98667 .98382 .98096 400 . 99827 . 99581 . 99332 .99083 . 98833 . 98584 .98334 450 .99846 99627 99406 .99185 .98963 .98741 .98fil9 500 .99861
32、.99665 . 99466 .99266 99066 .98867 .98667 550 .99874 .99695 .99514 .99333 .99151 98970 98788 600 .99885 .99120 .99555 . 99388 99222 .99056 .98889 650 .99893 . 997 42 .99589 .99435 . 99282 .99128 .98974 700 .99901 .99760 .99618 .99476 .99333 .99190 99048 750 .99908 .99776 . 99644 .99511 . 99377 . 992
33、44 .99111 800 .99913 .99790 .99666 .99541 .99416 . 99292 .99167 850 .99918 .99803 99686 .99568 99451 99333 .99216 900 . 99923 99814 . 99703 99592 .99481 .99370 99259 950 99927 99A23 .99719 .99614 . 99508 . 99403 .99298 lOCO . 99931 .99832 .99733 .99633 99533 99433 .99333 (;5 GB 4087.3-85 .50 NIF 7 8
34、 9 10 JI 12 13 50 .84764 . 82778 80791 . 78805 .76819 . 7 4832 72846 51 .85061 .83113 81166 .79218 .77270 .75322 . 73375 52 .85346 .83436 .81525 .79615 .77705 75794 73883 53 .85621 .83746 .81872 79997 .78123 . 76248 .74373 54 . 85885 .84045 .82205 80365 .78525 .76685 .74845 55 .86140 .84334 82527 .8
35、0720 78913 .77106 . 75299 56 86386 .84612 .82837 .81062 . 79288 . 77513 7573自57 .86624 .84880 .83136 .81393 . 79649 .77905 . 76161 58 .86853 .85139 . 83426 .81712 .79998 .78284 76570 59 .87075 .85390 . 83705 82020 .80335 .78650 76964 60 87289 .85632 .83975 .82318 .80661 .79003 .77346 61 .87496 85866
36、 .84236 .82606 80976 79346 .77716 62 .87697 86093 .84489 .82885 .81281 .79677 .78073 63 .87891 86313 .84734 . 83155 .81577 .79998 78419 64 .88079 86525 .84971 .83417 .81863 .80309 .78755 65 .88262 .86732 .85201 83671 .82141 .80610 79080 66 88439 .86932 .85424 .83917 .82410 80903 . 79395 67 .88610 .8
37、7126 .85641 .84156 . 82671 .81186 .79701 68 .88777 .87314 .85851 .84388 .82925 .81462 .79998 69 .88939 . 87497 . 86055 .84613 .83171 .81729 .80287 70 .89096 . 87675 .86253 84832 .83410 .81989 .80567 75 .89820 .88493 .87166 .85839 .84511 .83184 .81857 80 .90453 .8自209.87964 . 86720 854 75 .84231 8298
38、6 85 .91013 .89841 88670 .87498 .86326 .85155 .83983 90 .91510 90404 .89297 .88190 .87083 85976 . 84869 95 .91955 .90907 . 89858 .88809 .87761 .86712 .85663 100 92356 .91360 .90364 .89367 .88371 .87374 .86377 110 . 93049 .92143 .91237 .90331 89425 .88518 . 87612 120 .93627 92796 .91965 .91134 .90303
39、 .89472 .88642 130 .94116 93349 .92582 .91815 .91047 .90280 .89513 140 .94535 .93823 .93110 .92398 .91685 .90973 .90260 160 .95217 .94593 .93970 93346 .92722 .92099 .91475 180 .95747 .95193 . 94638 .94084 93530 .92975 . 92421 200 96172 .95673 .95174 . 94675 .94176 .93676 .93177 250 .96936 .96537 .96
40、138 .95738 .95339 .94939 .94540 300 .97446 .97114 .96781 .96448 96115 . 95782 .95449 350 .97811 . 97526 .97240 .96955 .96669 96384 .96099 400 .98084 97835 .97585 .97335 .97085 .96836 . 96586 450 .98297 .98075 .97853 .97631 . 97409 97187 .96965 500 . 98467 98267 .98068 .97868 97668 97468 . 97268 550
41、98606 .98425 .98243 98061 . 97880 .97698 . 97516 600 98723 98556 .98389 .98223 .98056 .97890 . 97723 650 98821 .98667 . 98513 .98360 .98206 .98052 97898 700 98905 . 98762 .98619 98477 .98334 .98191 98048 750 .98978 .98845 .98711 98578 .98445 .98312 98178 800 .99042 .98917 .98792 98667 . 98542 .98417
42、 .98292 850 99098 .98981 . 98863 98745 .98628 .98510 . 98393 900 .99148 99037 . 98926 .98815 .98704 .98593 .98482 950 .99193 .99088 .98983 .98877 98772 .98667 . 98562 1000 .99233 .99133 .99033 .98934 .98834 98734 98634 66 GB 4087 .3 85 .50 NI 14 15 16 17 18 19 20 50 .70859 .68873 66886 .64900 .62913
43、 60926 .58940 51 .71427 .69479 .67531 .65583 . 63635 .61687 597 40 52 .71973 .70062 .68152 .66241 64330 .62420 .605剧53 . 72498 . 70623 .68749 .66874 .64999 .63124 .61249 54 .73004 .71164 69324 67483 .65643 .63803 .61962 55 . 73492 71685 .69878 .68071 .66264 64457 .62650 56 .73963 .72188 .70413 .6863
44、8 . 66863 65088 .63313 57 74417 . 72673 .70929 .69185 .67441 .65697 .63953 58 .74855 . 73141 71427 .69713 .67999 .66285 .64571 59 .75279 73594 .71909 70224 .68538 .66853 65168 60 . 75689 7 4032 .72374 .70717 .69060 67 402 657 45 61 . 76085 .74455 72825 .71194 .69564 .67934 .66303 62 .76469 . 7 4865
45、73261 . 71657 70052 .68448 . 66844 63 76840 . 75262 .73683 .72104 .70525 .68946 67368 64 .77200 75646 .74092 .72538 70983 .69429 .67875 65 .77549 76019 .74488 .72958 71427 .69897 .6366 66 .77888 .76380 .74873 .73366 71858 .70351 .68843 67 .78216 76731 .75246 73761 .72276 70791 .69306 68 .78535 . 770
46、72 .75608 .74145 .72682 .71219 .69755 69 .78845 .77402 .75960 7 4518 .73076 71634 .70191 70 .79145 77724 .76302 .74880 .73459 .72037 70615 75 .80529 .79202 . 77875 .76548 .75220 .73893 .72566 80 .81741 .80497 79252 .78007 .76762 .75518 .74273 85 .82811 .81639 .80468 79.296 .78124 .76952 75780 90 .83
47、763 .82656 .81549 .80442 79335 .78228 77121 95 .84614 .83565 .82516 .81468 .80419 .79370 .78321 100 .85281 .84384 83388 .82391 . 81394 .80398 .79401 110 . 86706 85800 .84893 .83987 .83081 .82174 .81268 120 .87811 86980 .86149 .85318 84487 .83656 .82825 130 .88746 .87979 .87211 . 86444 .85677 .84910
48、. 84143 140 . 89548 . 88835 .88123 .87410 .86698 85985 .85273 160 . 90852 .90228 89604 .88981 .88357 . 87733 .87110 180 .91866 .91312 .90757 .90203 89648 . 89094 . 8 8539 200 . 92678 . 92179 .91680 91181 .90682 .90183 .89683 250 .94141 .93741 .93342 92942 .92543 92143 .91744 300 .95116 . 94783 .94450 .94117 . 93784 .93451 .93118 350 . 95813 . 95528 .95242 .94957 . 94671 .94386 .94101 400 .96336 .96086 .95837 95587 . 95337 .95087 94837 450 . 967 43 96521 .96
