Standard Normal Table - Cummulative Probability Distribution | |||||||||||
Area under the Standard Normal Curve from for z at various values of z | |||||||||||
Enter z to find Pr[z] | 1.96 | Enter Prob, to find z | 0.95 | ||||||||
Pr[z]= | 0.975 | z= | 1.64485 | ||||||||
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | |
-4 | 3.1686E-05 | 3.037E-05 | 2.9113E-05 | 2.7902E-05 | 2.6739E-05 | 2.5622E-05 | 2.4549E-05 | 2.3519E-05 | 2.253E-05 | 2.158E-05 | |
-3.9 | 4.81155E-05 | 5.014E-05 | 5.2248E-05 | 5.4438E-05 | 5.6715E-05 | 5.9081E-05 | 6.1539E-05 | 6.4094E-05 | 6.6749E-05 | 6.9507E-05 | |
-3.8 | 7.23724E-05 | 7.535E-05 | 7.844E-05 | 8.165E-05 | 8.4983E-05 | 8.8445E-05 | 9.2038E-05 | 9.5768E-05 | 9.9641E-05 | 0.00010366 | |
-3.7 | 0.00010783 | 0.0001037 | 9.9641E-05 | 9.5768E-05 | 9.2038E-05 | 8.8445E-05 | 8.4983E-05 | 8.165E-05 | 7.844E-05 | 7.5349E-05 | |
-3.6 | 0.000159146 | 0.0001531 | 0.00014734 | 0.00014175 | 0.00013635 | 0.00013115 | 0.00012614 | 0.00012131 | 0.00011665 | 0.00011216 | |
-3.5 | 0.000232673 | 0.0002241 | 0.00021582 | 0.00020782 | 0.0002001 | 0.00019266 | 0.00018547 | 0.00017853 | 0.00017184 | 0.00016538 | |
-3.4 | 0.000336981 | 0.0003249 | 0.00031316 | 0.00030184 | 0.00029091 | 0.00028034 | 0.00027013 | 0.00026028 | 0.00025075 | 0.00024156 | |
-3.3 | 0.000483483 | 0.0004665 | 0.00045014 | 0.00043429 | 0.00041895 | 0.00040411 | 0.00038977 | 0.00037589 | 0.00036248 | 0.00034952 | |
-3.2 | 0.000687202 | 0.0006637 | 0.00064102 | 0.00061901 | 0.00059771 | 0.00057709 | 0.00055712 | 0.0005378 | 0.0005191 | 0.000501 | |
-3.1 | 0.000967671 | 0.0009355 | 0.00090432 | 0.0008741 | 0.00084481 | 0.00081642 | 0.00078891 | 0.00076226 | 0.00073644 | 0.00071143 | |
-3 | 0.001349967 | 0.0013063 | 0.00126394 | 0.00122284 | 0.00118296 | 0.00114428 | 0.00110675 | 0.00107036 | 0.00103507 | 0.00100085 | |
-2.9 | 0.00186588 | 0.0018072 | 0.00175022 | 0.00169488 | 0.00164113 | 0.00158894 | 0.00153826 | 0.00148907 | 0.00144131 | 0.00139496 | |
-2.8 | 0.002555191 | 0.0024771 | 0.00240124 | 0.00232746 | 0.00225574 | 0.00218603 | 0.00211827 | 0.00205242 | 0.00198844 | 0.00192628 | |
-2.7 | 0.003467023 | 0.0033642 | 0.00326415 | 0.00316677 | 0.00307201 | 0.00297982 | 0.00289012 | 0.00280287 | 0.002718 | 0.00263546 | |
-2.6 | 0.004661222 | 0.0045271 | 0.00439653 | 0.00426928 | 0.00414534 | 0.00402463 | 0.00390708 | 0.00379261 | 0.00368115 | 0.00357265 | |
-2.5 | 0.00620968 | 0.0060366 | 0.00586776 | 0.00570315 | 0.00554265 | 0.00538617 | 0.00523363 | 0.00508495 | 0.00494005 | 0.00479883 | |
-2.4 | 0.008197529 | 0.0079763 | 0.00776025 | 0.00754941 | 0.00734363 | 0.00714281 | 0.00694686 | 0.00675566 | 0.00656913 | 0.00638717 | |
-2.3 | 0.010724081 | 0.0104441 | 0.01017041 | 0.00990305 | 0.00964185 | 0.00938669 | 0.00913745 | 0.00889403 | 0.00865631 | 0.00842418 | |
-2.2 | 0.013903399 | 0.0135525 | 0.01320934 | 0.01287368 | 0.01254542 | 0.01222443 | 0.01191059 | 0.01160376 | 0.01130381 | 0.01101063 | |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | |
-2.1 | 0.017864357 | 0.0174291 | 0.01700296 | 0.01658575 | 0.01617733 | 0.01577755 | 0.01538628 | 0.01500337 | 0.01462868 | 0.01426207 | |
-2 | 0.022750062 | 0.0222155 | 0.02169162 | 0.0211782 | 0.02067509 | 0.02018215 | 0.0196992 | 0.01922611 | 0.0187627 | 0.01830884 | |
-1.9 | 0.028716493 | 0.0280665 | 0.02742888 | 0.02680335 | 0.02618978 | 0.02558799 | 0.02499783 | 0.02441912 | 0.02385169 | 0.0232954 | |
-1.8 | 0.035930266 | 0.0351478 | 0.03437945 | 0.03362491 | 0.03288406 | 0.03215671 | 0.0314427 | 0.03074184 | 0.03005397 | 0.02937891 | |
-1.7 | 0.044565432 | 0.0436329 | 0.04271618 | 0.0418151 | 0.04092947 | 0.04005911 | 0.03920386 | 0.03836352 | 0.03753793 | 0.0367269 | |
-1.6 | 0.054799289 | 0.0536989 | 0.05261613 | 0.05155074 | 0.05050257 | 0.04947145 | 0.04845721 | 0.04745966 | 0.04647863 | 0.04551395 | |
-1.5 | 0.066807229 | 0.0655217 | 0.06425551 | 0.06300838 | 0.06178019 | 0.06057077 | 0.05937995 | 0.05820756 | 0.05705344 | 0.0559174 | |
-1.4 | 0.080756711 | 0.0792699 | 0.07780389 | 0.07635856 | 0.07493374 | 0.0735293 | 0.07214508 | 0.07078091 | 0.06943666 | 0.06811215 | |
-1.3 | 0.096800549 | 0.095098 | 0.09341757 | 0.0917592 | 0.09012273 | 0.08850805 | 0.08691502 | 0.08534351 | 0.08379338 | 0.08226449 | |
-1.2 | 0.115069732 | 0.1131395 | 0.1112325 | 0.10934862 | 0.10748776 | 0.10564984 | 0.10383475 | 0.10204238 | 0.10027263 | 0.09852539 | |
-1.1 | 0.135666102 | 0.1334996 | 0.13135693 | 0.12923816 | 0.1271432 | 0.12507199 | 0.12302446 | 0.12100054 | 0.11900017 | 0.11702326 | |
-1 | 0.15865526 | 0.1562477 | 0.15386424 | 0.15150502 | 0.14916997 | 0.14685908 | 0.14457233 | 0.14230969 | 0.14007112 | 0.13785661 | |
-0.9 | 0.184060092 | 0.1814112 | 0.17878635 | 0.17618552 | 0.17360876 | 0.17105611 | 0.1685276 | 0.16602324 | 0.16354306 | 0.16108706 | |
-0.8 | 0.211855334 | 0.20897 | 0.20610799 | 0.20326933 | 0.20045414 | 0.19766249 | 0.19489447 | 0.19215016 | 0.18942961 | 0.18673291 | |
-0.7 | 0.241963578 | 0.238852 | 0.23576242 | 0.23269502 | 0.22964992 | 0.22662728 | 0.22362722 | 0.22064988 | 0.21769537 | 0.21476382 | |
-0.6 | 0.274253065 | 0.2709308 | 0.26762883 | 0.26434723 | 0.26108623 | 0.25784604 | 0.25462685 | 0.25142882 | 0.24825216 | 0.24509702 | |
-0.5 | 0.308537533 | 0.3050257 | 0.30153177 | 0.29805594 | 0.29459849 | 0.29115966 | 0.28773968 | 0.28433881 | 0.28095726 | 0.27759528 | |
-0.4 | 0.344578303 | 0.340903 | 0.33724276 | 0.33359785 | 0.32996858 | 0.32635524 | 0.32275813 | 0.31917752 | 0.3156137 | 0.31206695 | |
-0.3 | 0.382088643 | 0.3782805 | 0.37448423 | 0.37070005 | 0.36692833 | 0.36316941 | 0.35942363 | 0.3556913 | 0.35197276 | 0.34826832 | |
-0.2 | 0.420740313 | 0.4168339 | 0.41293561 | 0.40904593 | 0.40516518 | 0.40129373 | 0.39743194 | 0.39358019 | 0.38973881 | 0.38590818 | |
-0.1 | 0.460172104 | 0.4562046 | 0.45224153 | 0.44828318 | 0.44432997 | 0.44038229 | 0.43644053 | 0.43250507 | 0.42857629 | 0.42465458 | |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | |
0 | 0.5 | 0.5039894 | 0.50797835 | 0.51196653 | 0.5159535 | 0.51993887 | 0.52392225 | 0.52790324 | 0.53188144 | 0.53585646 | |
0.1 | 0.539827896 | 0.5437954 | 0.54775847 | 0.55171682 | 0.55567003 | 0.55961771 | 0.56355947 | 0.56749493 | 0.57142371 | 0.57534542 | |
0.2 | 0.579259687 | 0.5831661 | 0.58706439 | 0.59095407 | 0.59483482 | 0.59870627 | 0.60256806 | 0.60641981 | 0.61026119 | 0.61409182 | |
0.3 | 0.617911357 | 0.6217195 | 0.62551577 | 0.62929995 | 0.63307167 | 0.63683059 | 0.64057637 | 0.6443087 | 0.64802724 | 0.65173168 | |
0.4 | 0.655421697 | 0.659097 | 0.66275724 | 0.66640215 | 0.67003142 | 0.67364476 | 0.67724187 | 0.68082248 | 0.6843863 | 0.68793305 | |
0.5 | 0.691462467 | 0.6949743 | 0.69846823 | 0.70194406 | 0.70540151 | 0.70884034 | 0.71226032 | 0.71566119 | 0.71904274 | 0.72240472 | |
0.6 | 0.725746935 | 0.7290692 | 0.73237117 | 0.73565277 | 0.73891377 | 0.74215396 | 0.74537315 | 0.74857118 | 0.75174784 | 0.75490298 | |
0.7 | 0.758036422 | 0.761148 | 0.76423758 | 0.76730498 | 0.77035008 | 0.77337272 | 0.77637278 | 0.77935012 | 0.78230463 | 0.78523618 | |
0.8 | 0.788144666 | 0.79103 | 0.79389201 | 0.79673067 | 0.79954586 | 0.80233751 | 0.80510553 | 0.80784984 | 0.81057039 | 0.81326709 | |
0.9 | 0.815939908 | 0.8185888 | 0.82121365 | 0.82381448 | 0.82639124 | 0.82894389 | 0.8314724 | 0.83397676 | 0.83645694 | 0.83891294 | |
1 | 0.84134474 | 0.8437523 | 0.84613576 | 0.84849498 | 0.85083003 | 0.85314092 | 0.85542767 | 0.85769031 | 0.85992888 | 0.86214339 | |
1.1 | 0.864333898 | 0.8665004 | 0.86864307 | 0.87076184 | 0.8728568 | 0.87492801 | 0.87697554 | 0.87899946 | 0.88099983 | 0.88297674 | |
1.2 | 0.884930268 | 0.8868605 | 0.8887675 | 0.89065138 | 0.89251224 | 0.89435016 | 0.89616525 | 0.89795762 | 0.89972737 | 0.90147461 | |
1.3 | 0.903199451 | 0.904902 | 0.90658243 | 0.9082408 | 0.90987727 | 0.91149195 | 0.91308498 | 0.91465649 | 0.91620662 | 0.91773551 | |
1.4 | 0.919243289 | 0.9207301 | 0.92219611 | 0.92364144 | 0.92506626 | 0.9264707 | 0.92785492 | 0.92921909 | 0.93056334 | 0.93188785 | |
1.5 | 0.933192771 | 0.9344783 | 0.93574449 | 0.93699162 | 0.93821981 | 0.93942923 | 0.94062005 | 0.94179244 | 0.94294656 | 0.9440826 | |
1.6 | 0.945200711 | 0.9463011 | 0.94738387 | 0.94844926 | 0.94949743 | 0.95052855 | 0.95154279 | 0.95254034 | 0.95352137 | 0.95448605 | |
1.7 | 0.955434568 | 0.9563671 | 0.95728382 | 0.9581849 | 0.95907053 | 0.95994089 | 0.96079614 | 0.96163648 | 0.96246207 | 0.9632731 | |
1.8 | 0.964069734 | 0.9648522 | 0.96562055 | 0.96637509 | 0.96711594 | 0.96784329 | 0.9685573 | 0.96925816 | 0.96994603 | 0.97062109 | |
1.9 | 0.971283507 | 0.9719335 | 0.97257112 | 0.97319665 | 0.97381022 | 0.97441201 | 0.97500217 | 0.97558088 | 0.97614831 | 0.9767046 | |
2 | 0.977249938 | 0.9777845 | 0.97830838 | 0.9788218 | 0.97932491 | 0.97981785 | 0.9803008 | 0.98077389 | 0.9812373 | 0.98169116 | |
2.1 | 0.982135643 | 0.9825709 | 0.98299704 | 0.98341425 | 0.98382267 | 0.98422245 | 0.98461372 | 0.98499663 | 0.98537132 | 0.98573793 | |
2.2 | 0.986096601 | 0.9864475 | 0.98679066 | 0.98712632 | 0.98745458 | 0.98777557 | 0.98808941 | 0.98839624 | 0.98869619 | 0.98898937 | |
2.3 | 0.989275919 | 0.9895559 | 0.98982959 | 0.99009695 | 0.99035815 | 0.99061331 | 0.99086255 | 0.99110597 | 0.99134369 | 0.99157582 | |
2.4 | 0.991802471 | 0.9920237 | 0.99223975 | 0.99245059 | 0.99265637 | 0.99285719 | 0.99305314 | 0.99324434 | 0.99343087 | 0.99361283 | |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | |
2.5 | 0.99379032 | 0.9939634 | 0.99413224 | 0.99429685 | 0.99445735 | 0.99461383 | 0.99476637 | 0.99491505 | 0.99505995 | 0.99520117 | |
2.6 | 0.995338778 | 0.9954729 | 0.99560347 | 0.99573072 | 0.99585466 | 0.99597537 | 0.99609292 | 0.99620739 | 0.99631885 | 0.99642735 | |
2.7 | 0.996532977 | 0.9966358 | 0.99673585 | 0.99683323 | 0.99692799 | 0.99702018 | 0.99710988 | 0.99719713 | 0.997282 | 0.99736454 | |
2.8 | 0.997444809 | 0.9975229 | 0.99759876 | 0.99767254 | 0.99774426 | 0.99781397 | 0.99788173 | 0.99794758 | 0.99801156 | 0.99807372 | |
2.9 | 0.99813412 | 0.9981928 | 0.99824978 | 0.99830512 | 0.99835887 | 0.99841106 | 0.99846174 | 0.99851093 | 0.99855869 | 0.99860504 | |
3 | 0.998650033 | 0.9986937 | 0.99873606 | 0.99877716 | 0.99881704 | 0.99885572 | 0.99889325 | 0.99892964 | 0.99896493 | 0.99899915 | |
3.1 | 0.999032329 | 0.9990645 | 0.99909568 | 0.9991259 | 0.99915519 | 0.99918358 | 0.99921109 | 0.99923774 | 0.99926356 | 0.99928857 | |
3.2 | 0.999312798 | 0.9993363 | 0.99935898 | 0.99938099 | 0.99940229 | 0.99942291 | 0.99944288 | 0.9994622 | 0.9994809 | 0.999499 | |
3.3 | 0.999516517 | 0.9995335 | 0.99954986 | 0.99956571 | 0.99958105 | 0.99959589 | 0.99961023 | 0.99962411 | 0.99963752 | 0.99965048 | |
3.4 | 0.999663019 | 0.9996751 | 0.99968684 | 0.99969816 | 0.99970909 | 0.99971966 | 0.99972987 | 0.99973972 | 0.99974925 | 0.99975844 | |
3.5 | 0.999767327 | 0.9997759 | 0.99978418 | 0.99979218 | 0.9997999 | 0.99980734 | 0.99981453 | 0.99982147 | 0.99982816 | 0.99983462 | |
3.6 | 0.999840854 | 0.9998469 | 0.99985266 | 0.99985825 | 0.99986365 | 0.99986885 | 0.99987386 | 0.99987869 | 0.99988335 | 0.99988784 | |
3.7 | 0.99989217 | 0.9998963 | 0.99990036 | 0.99990423 | 0.99990796 | 0.99991156 | 0.99991502 | 0.99991835 | 0.99992156 | 0.99992465 | |
3.8 | 0.999927628 | 0.9999305 | 0.99993325 | 0.99993591 | 0.99993846 | 0.99994092 | 0.99994329 | 0.99994556 | 0.99994775 | 0.99994986 | |
3.9 | 0.999951884 | 0.9999538 | 0.99995571 | 0.99995751 | 0.99995924 | 0.99996091 | 0.99996251 | 0.99996405 | 0.99996553 | 0.99996695 | |
4 | 0.999968314 | 0.9999696 | 0.99997089 | 0.9999721 | 0.99997326 | 0.99997438 | 0.99997545 | 0.99997648 | 0.99997747 | 0.99997842 | |
4.1 | 0.999979331 | 0.9999802 | 0.99998105 | 0.99998185 | 0.99998262 | 0.99998337 | 0.99998408 | 0.99998476 | 0.99998542 | 0.99998604 | |
4.2 | 0.999986646 | 0.9999872 | 0.99998778 | 0.99998831 | 0.99998882 | 0.9999893 | 0.99998977 | 0.99999022 | 0.99999065 | 0.99999106 | |
4.3 | 0.999991454 | 0.9999918 | 0.99999219 | 0.99999254 | 0.99999287 | 0.99999319 | 0.99999349 | 0.99999378 | 0.99999406 | 0.99999433 | |
4.4 | 0.999994583 | 0.9999948 | 0.99999506 | 0.99999528 | 0.9999955 | 0.9999957 | 0.9999959 | 0.99999609 | 0.99999626 | 0.99999644 | |
4.5 | 0.999996599 | 0.9999968 | 0.99999691 | 0.99999705 | 0.99999718 | 0.99999732 | 0.99999744 | 0.99999756 | 0.99999767 | 0.99999778 | |
4.6 | 0.999997885 | 0.999998 | 0.99999808 | 0.99999817 | 0.99999826 | 0.99999834 | 0.99999842 | 0.99999849 | 0.99999856 | 0.99999863 | |
4.7 | 0.999998698 | 0.9999988 | 0.99999882 | 0.99999888 | 0.99999893 | 0.99999898 | 0.99999903 | 0.99999908 | 0.99999912 | 0.99999917 | |
4.8 | 0.999999206 | 0.9999992 | 0.99999928 | 0.99999932 | 0.99999935 | 0.99999938 | 0.99999941 | 0.99999944 | 0.99999947 | 0.9999995 | |
4.9 | 0.99999952 | 0.9999995 | 0.99999957 | 0.99999959 | 0.99999961 | 0.99999963 | 0.99999965 | 0.99999966 | 0.99999968 | 0.9999997 | |
5 | 0.999999713 | 0.9999997 | 0.99999974 | 0.99999975 | 0.99999977 | 0.99999978 | 0.99999979 | 0.9999998 | 0.99999981 | 0.99999982 | |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 |