95% Confidence Intervals

# n is the number of trials.
# x is the number of successes in n trials.
# If you want the values that n up to 1000, please download the CSV.

nxLower limitUpper limit
100.01257896423339843750.84188556671142578125
110.158114433288574218750.9874210357666015625
200.0084037780761718750.70759868621826171875
210.094299316406250.90570068359375
220.292401313781738281250.991596221923828125
300.006309509277343750.60236454010009765625
310.067585945129394531250.8058795928955078125
320.19412040710449218750.93241405487060546875
330.397635459899902343750.99369049072265625
400.00505065917968750.521823883056640625
410.052744865417480468750.71641826629638671875
420.146632194519042968750.85336780548095703125
430.283581733703613281250.94725513458251953125
440.4781761169433593750.9949493408203125
500.004210472106933593750.45925807952880859375
510.04327201843261718750.64123439788818359375
520.118117332458496093750.7772216796875
530.22277832031250.88188266754150390625
540.358765602111816406250.9567279815673828125
550.540741920471191406250.99578952789306640625
600.00361061096191406250.4096164703369140625
610.036692619323730468750.57872295379638671875
620.098988533020019531250.70957851409912109375
630.1840515136718750.815948486328125
640.290421485900878906250.90101146697998046875
650.421277046203613281250.96330738067626953125
660.59038352966308593750.9963893890380859375
700.003159523010253906250.36941623687744140625
710.031853675842285156250.52650928497314453125
720.08523368835449218750.65085601806640625
730.1570129394531250.7551364898681640625
740.24486351013183593750.842987060546875
750.349143981933593750.9147663116455078125
760.473490715026855468750.96814632415771484375
770.630583763122558593750.99684047698974609375
800.002808570861816406250.33626651763916015625
810.028144836425781250.4824962615966796875
820.074854850769042968750.600093841552734375
830.136996269226074218750.70070552825927734375
840.212008476257324218750.78799152374267578125
850.299294471740722656250.86300373077392578125
860.3999061584472656250.92514514923095703125
870.51750373840332031250.97185516357421875
880.663733482360839843750.99719142913818359375
900.002528190612792968750.30849742889404296875
910.025210380554199218750.44501590728759765625
920.066739082336425781250.55609607696533203125
930.121552467346191406250.65245342254638671875
940.18708610534667968750.73762226104736328125
950.262377738952636718750.8129138946533203125
960.347546577453613281250.87844753265380859375
970.443903923034667968750.93326091766357421875
980.554984092712402343750.97478961944580078125
990.691502571105957031250.99747180938720703125
1000.002299308776855468750.2849140167236328125
1010.0228309631347656250.41277980804443359375
1020.060217857360839843750.51775646209716796875
1030.109263420104980468750.60974216461181640625
1040.167488098144531250.69209575653076171875
1050.233794212341308593750.76620578765869140625
1060.307904243469238281250.83251190185546875
1070.390257835388183593750.89073657989501953125
1080.482243537902832031250.93978214263916015625
1090.587220191955566406250.977169036865234375
10100.71508598327636718750.99770069122314453125
1100.00210762023925781250.2646484375
1110.0208625793457031250.384796142578125
1120.054860115051269531250.48413753509521484375
1130.099246025085449218750.57185840606689453125
1140.151652336120605468750.65112400054931640625
1150.210944175720214843750.72333049774169921875
1160.276669502258300781250.78905582427978515625
1170.348875999450683593750.84834766387939453125
1180.428141593933105468750.90075397491455078125
1190.515862464904785156250.94513988494873046875
11100.6152038574218750.979137420654296875
11110.73535156250.9978923797607421875
1200.001945495605468750.24705219268798828125
1210.019206047058105468750.36029720306396484375
1220.050381660461425781250.45447063446044921875
1230.090920448303222656250.5381317138671875
1240.138579368591308593750.614261627197265625
1250.19223213195800781250.68422222137451171875
1260.251345634460449218750.74865436553955078125
1270.315777778625488281250.8077678680419921875
1280.3857383728027343750.86142063140869140625
1290.46186828613281250.90907955169677734375
12100.545529365539550781250.94961833953857421875
12110.639702796936035156250.98079395294189453125
12120.752947807312011718750.99805450439453125
1300.001807212829589843750.23163604736328125
1310.017794609069824218750.33868503570556640625
1320.04657936096191406250.4281291961669921875
1330.0838890075683593750.50797557830810546875
1340.127598762512207031250.58103466033935546875
1350.17661094665527343750.64861965179443359375
1360.230360984802246093750.71139049530029296875
1370.288609504699707031250.76963901519775390625
1380.351380348205566406250.8233890533447265625
1390.418965339660644531250.87240123748779296875
13100.492024421691894531250.916110992431640625
13110.57187080383300781250.9534206390380859375
13120.661314964294433593750.98220539093017578125
13130.768363952636718750.99819278717041015625
1400.001687049865722656250.2180194854736328125
1410.016575813293457031250.319484710693359375
1420.043312072753906250.40460300445556640625
1430.07787132263183593750.48089122772216796875
1440.118241310119628906250.55100345611572265625
1450.1633644104003906250.61619663238525390625
1460.212666511535644531250.67713069915771484375
1470.265861511230468750.73413848876953125
1480.322869300842285156250.78733348846435546875
1490.383803367614746093750.836635589599609375
14100.448996543884277343750.88175868988037109375
14110.519108772277832031250.9221286773681640625
14120.595396995544433593750.95668792724609375
14130.6805152893066406250.98342418670654296875
14140.78198051452636718750.99831295013427734375
1500.00158119201660156250.20590686798095703125
1510.015513420104980468750.3023204803466796875
1520.040473937988281250.38347625732421875
1530.0726623535156250.45645618438720703125
1540.110169410705566406250.52377033233642578125
1550.151984214782714843750.586620330810546875
1560.197533607482910156250.64565372467041015625
1570.246510505676269531250.7012233734130859375
1580.29877662658691406250.75348949432373046875
1590.354346275329589843750.80246639251708984375
15100.4133796691894531250.84801578521728515625
15110.476229667663574218750.88983058929443359375
15120.543543815612792968750.927337646484375
15130.616523742675781250.95952606201171875
15140.69767951965332031250.98448657989501953125
15150.794093132019042968750.9984188079833984375
1600.001488685607910156250.195064544677734375
1610.014578819274902343750.28688907623291015625
1620.03798484802246093750.36440944671630859375
1630.068107604980468750.43431758880615234375
1640.103135108947753906250.49899387359619140625
1650.142097473144531250.55958271026611328125
1660.1844367980957031250.6167163848876953125
1670.229832649230957031250.67075252532958984375
1680.2781181335449218750.721881866455078125
1690.329247474670410156250.77016735076904296875
16100.38328361511230468750.815563201904296875
16110.440417289733886718750.85790252685546875
16120.501006126403808593750.89686489105224609375
16130.565682411193847656250.93189239501953125
16140.635590553283691406250.9620151519775390625
16150.713110923767089843750.98542118072509765625
16160.8049354553222656250.99851131439208984375
1700.00140571594238281250.18530178070068359375
1710.013751029968261718750.2729434967041015625
1720.035784721374511718750.3471202850341796875
1730.064091682434082031250.41417789459228515625
1740.096949577331542968750.47637271881103515625
1750.133427619934082031250.53480243682861328125
1760.172986030578613281250.5900745391845703125
1770.2153015136718750.64254856109619140625
1780.260190010070800781250.6924285888671875
1790.30757141113281250.73980998992919921875
17100.357451438903808593750.784698486328125
17110.40992546081542968750.82701396942138671875
17120.465197563171386718750.86657238006591796875
17130.523627281188964843750.90305042266845703125
17140.585822105407714843750.93590831756591796875
17150.65287971496582031250.96421527862548828125
17160.72705650329589843750.98624897003173828125
17170.814698219299316406250.9985942840576171875
1800.0013313293457031250.17646694183349609375
1810.0130119323730468750.260280609130859375
1820.033825874328613281250.33137607574462890625
1830.060524940490722656250.3957843780517578125
1840.091465950012207031250.45565319061279296875
1850.125760078430175781250.5120296478271484375
1860.16288566589355468750.56550121307373046875
1870.202521324157714843750.61642169952392578125
1880.24447441101074218750.66500186920166015625
1890.288643836975097656250.71135616302490234375
18100.334998130798339843750.7555255889892578125
18110.383578300476074218750.79747867584228515625
18120.434498786926269531250.8371143341064453125
18130.48797035217285156250.87423992156982421875
18140.544346809387207031250.90853404998779296875
18150.60421562194824218750.93947505950927734375
18160.668623924255371093750.96617412567138671875
18170.7397193908691406250.986988067626953125
18180.823533058166503906250.998668670654296875
1900.001265525817871093750.16843318939208984375
1910.012349128723144531250.24873256683349609375
1920.032071113586425781250.31698322296142578125
1930.057333946228027343750.37892627716064453125
1940.086571693420410156250.43661403656005859375
1950.118931770324707031250.49104595184326171875
1960.153908729553222656250.542789459228515625
1970.191189765930175781250.59218883514404296875
1980.230578422546386718750.63945770263671875
1990.271958351135253906250.68472194671630859375
19100.315278053283691406250.72804164886474609375
19110.360542297363281250.76942157745361328125
19120.407811164855957031250.80881023406982421875
19130.4572105407714843750.84609127044677734375
19140.508954048156738281250.88106822967529296875
19150.563385963439941406250.91342830657958984375
19160.621073722839355468750.94266605377197265625
19170.683016777038574218750.96792888641357421875
19180.751267433166503906250.98765087127685546875
19190.831566810607910156250.99873447418212890625
2000.001204490661621093750.16109752655029296875
2010.0117492675781250.23816013336181640625
2020.03048896789550781250.30377483367919921875
2030.054463386535644531250.3634243011474609375
2040.082175254821777343750.41906642913818359375
2050.112809181213378906250.47165966033935546875
2060.145876884460449218750.52175140380859375
2070.181071281433105468750.569675445556640625
2080.2181968688964843750.61564540863037109375
2090.257130622863769531250.659793853759765625
20100.297806739807128906250.70219326019287109375
20110.3402061462402343750.74286937713623046875
20120.384354591369628906250.781803131103515625
20130.4303245544433593750.81892871856689453125
20140.478248596191406250.85412311553955078125
20150.528340339660644531250.88719081878662109375
20160.580933570861816406250.91782474517822265625
20170.63657569885253906250.94553661346435546875
20180.696225166320800781250.9695110321044921875
20190.761839866638183593750.988250732421875
20200.838902473449707031250.99879550933837890625
2100.00115013122558593750.15437221527099609375
2110.01120567321777343750.22844409942626953125
2120.029055595397949218750.2916126251220703125
2130.051867485046386718750.34912204742431640625
2140.078206062316894531250.40284633636474609375
2150.107289314270019531250.45370388031005859375
2160.138646125793457031250.50222110748291015625
2170.171978950500488281250.54872417449951171875
2180.207093238830566406250.59342288970947265625
2190.2438621520996093750.63645267486572265625
21100.282210350036621093750.67789554595947265625
21110.322104454040527343750.71778964996337890625
21120.363547325134277343750.756137847900390625
21130.406577110290527343750.79290676116943359375
21140.451275825500488281250.82802104949951171875
21150.497778892517089843750.86135387420654296875
21160.546296119689941406250.89271068572998046875
21170.597153663635253906250.92179393768310546875
21180.650877952575683593750.94813251495361328125
21190.70838737487792968750.97094440460205078125
21200.771555900573730468750.9887943267822265625
21210.845627784729003906250.9988498687744140625
2200.001099586486816406250.14818477630615234375
2210.01070976257324218750.21948719024658203125
2220.027750968933105468750.28037929534912109375
2230.049508094787597656250.33588886260986328125
2240.074603080749511718750.3878116607666015625
2250.102286338806152343750.437030792236328125
2260.132102966308593750.48405170440673828125
2270.163763999938964843750.5291919708251953125
2280.197075843811035156250.57265567779541015625
2290.231913566589355468750.61458110809326171875
22100.268196105957031250.65505313873291015625
22110.3058776855468750.694122314453125
22120.344946861267089843750.73180389404296875
22130.385418891906738281250.76808643341064453125
22140.427344322204589843750.80292415618896484375
22150.47080802917480468750.83623600006103515625
22160.515948295593261718750.86789703369140625
22170.5629692077636718750.89771366119384765625
22180.61218833923339843750.92539691925048828125
22190.664111137390136718750.95049190521240234375
22200.719620704650878906250.97224903106689453125
22210.780512809753417968750.9892902374267578125
22220.851815223693847656250.99890041351318359375
2300.001053810119628906250.14247417449951171875
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24240.862814903259277343750.99898815155029296875
2500.000973701477050781250.132274627685546875
2510.009455680847167968750.19637012481689453125
2520.02445793151855468750.2513027191162109375
2530.043562889099121093750.301540374755859375
2540.0655479431152343750.3486785888671875
2550.089739799499511718750.39350605010986328125
2560.11573219299316406250.43647480010986328125
2570.143260002136230468750.477874755859375
2580.17214393615722656250.5178966522216796875
2590.202260017395019531250.55667209625244140625
25100.233521461486816406250.59429264068603515625
25110.26587104797363281250.6308193206787109375
25120.299271583557128906250.66629123687744140625
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25140.36918067932128906250.7341289520263671875
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25210.65132141113281250.934452056884765625
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25250.8677253723144531250.99902629852294921875
2600.000937461853027343750.1277027130126953125
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