Spreadsheet: 39572d1237855662-limit-on-number-of-random-numbers-in-prob-function-etf-tracker-study
Sheet: Sheet1

 |  |  |  |  |  |  |  |  | Sum of probabilities |  | 1.000000000000001 | 1 | 0
 |  | smallest [NAME] |  | -2.984313602171455
 |  | largest [NAME] |  | 2.718199944697765
 |  |  |  |  |  |  |  |  | Single probability |  | 0.01639344262295082
 |  |  |  |  | Prob() fct seems to work for no more than 61 SNDRNs
Uniformly distributed random numbers |  | Standard normally distributed random numbers (SNDRN) |  | Probability of SNDRN being between limits |  | Limits |  | [NAME] limit |  |  | Prob of SNDRN being betw limits
0.04234830315090221 | 0.7572489417307402 | 0.1144954835479638 | 1.65700491931238 | 0.00125 | 0.00125 | -3.5 | -3.4 | -3.45 | #N/A |  | 0.01639344262295082 | 0
0.1012404354451064 | 0.2540063699307211 | -0.05386940268991273 | -0.7106485933030412 | 0.00125 | 0.00125 | -3.4 | -3.3 | -3.35 | #N/A |  | 0.01639344262295082 | 0
0.4137115734110921 | 0.580380865618281 | -1.162724221655417 | -1.133792827130588 | 0.00125 | 0.00125 | -3.3 | -3.2 | -3.25 | #N/A |  | 0.01639344262295082 | 0
0.1271166363385419 | 0.6589470347289534 | -1.099630835219732 | -1.19002634659939 | 0.00125 | 0.00125 | -3.2 | -3.1 | -3.149999999999999 | #N/A |  | 0.01639344262295082 | 0
0.1161499246409221 | 0.4717948203824562 | -2.042530022892199 | -0.547921881031162 | 0.00125 | 0.00125 | -3.1 | -3 | -3.05 | #N/A |  | 0.01639344262295082 | 0
0.9767282038210396 | 0.7385563234647634 | -0.01559023499739895 | -0.02122361054198908 | 0.00125 | 0.00125 | -3 | -2.899999999999999 | -2.949999999999999 | #N/A |  | 0.01639344262295082 | 0
0.9069679967433331 | 0.9195911081433223 | 0.3867121216053975 | 0.2886662531346609 | 0.00125 | 0.00125 | -2.899999999999999 | -2.799999999999999 | -2.85 | #N/A |  | 0.01639344262295082 | 0
0.5357307694830524 | 0.7057472737724311 | -0.30666184838109 | -1.047189889799454 | 0.00125 | 0.00125 | -2.799999999999999 | -2.699999999999999 | -2.749999999999999 | #N/A |  | 0.01639344262295082 | 0
0.6642502822169263 | 0.1275020855118782 | 0.6294724212357066 | -0.6573250625771332 | 0.00125 | 0.00125 | -2.699999999999999 | -2.599999999999999 | -2.649999999999999 | #N/A |  | 0.01639344262295082 | 0
0.02616257713543746 | 0.7081483605106769 | -0.7016903891975061 | 2.576012564856545 | 0.00125 | 0.00125 | -2.599999999999999 | -2.499999999999999 | -2.549999999999999 | #N/A |  | 0.01639344262295082 | 0
0.1494969895420581 | 0.1689938126564812 | 0.9500112669208001 | -0.602329686559087 | 0.00125 | 0.00125 | -2.499999999999999 | -2.399999999999999 | -2.449999999999999 | #N/A |  | 0.01639344262295082 | 0
0.01687341142860532 | 0.3092497148882103 | -1.039298380728111 | -0.698368747961112 | 0.00125 | 0.00125 | -2.399999999999999 | -2.299999999999999 | -2.349999999999999 | #N/A |  | 0.01639344262295082 | 0
0.1343509279622594 | 0.01425538160401629 | 1.995614795352723 | -0.05519959942910248 | 0.00125 | 0.00125 | -2.299999999999999 | -2.199999999999999 | -2.249999999999999 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.1143944215536976 | 0.1313395317720278 | 1.412644287818492 | 1.086417855562498 | 0.00125 | 0.00125 | -2.199999999999999 | -2.099999999999999 | -2.149999999999999 | #N/A |  | 0.01639344262295082 | 0
0.5290317716107893 | 0.792896999464574 | 0.3004833513404646 | 1.072161717801508 | 0.00125 | 0.00125 | -2.099999999999999 | -1.999999999999999 | -2.049999999999999 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.5205990674139684 | 0.08068838081635477 | 0.9988837168145646 | -0.008013965547554833 | 0.00125 | 0.00125 | -1.999999999999999 | -1.899999999999999 | -1.949999999999999 | #N/A |  | 0.01639344262295082 | 0
0.632420031748552 | 0.2554295275886034 | -0.0326513332846007 | -0.1950173717388224 | 0.00125 | 0.00125 | -1.899999999999999 | -1.799999999999998 | -1.849999999999999 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.9221465658301895 | 0.3809302694135113 | -0.2951026960132654 | -0.3865600979309687 | 0.00125 | 0.00125 | -1.799999999999998 | -1.699999999999998 | -1.749999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.1933705248402475 | 0.05719251518348756 | 1.697020758156903 | -1.713300751314517 | 0.00125 | 0.00125 | -1.699999999999998 | -1.599999999999998 | -1.649999999999998 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.2810480312082291 | 0.1161900241168041 | 1.187206181037338 | 1.470846965377765 | 0.00125 | 0.00125 | -1.599999999999998 | -1.499999999999998 | -1.549999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.587153356557792 | 0.7625566427450394 | 0.08133266923565464 | 0.5047044872291547 | 0.00125 | 0.00125 | -1.499999999999998 | -1.399999999999998 | -1.449999999999998 | #N/A |  | 0.01639344262295082 | 0
0.9309731456332884 | 0.9848498918690893 | 0.3765068202591351 | 0.2648973121764435 | 0.00125 | 0.00125 | -1.399999999999998 | -1.299999999999998 | -1.349999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.9462505167166455 | 0.8654287499430211 | 0.220497040901216 | 0.3267142202781009 | 0.00125 | 0.00125 | -1.299999999999998 | -1.199999999999998 | -1.249999999999998 | #N/A |  | 0.01639344262295082 | 0
0.6183177926441203 | 0.06729786012147088 | 0.8942008781213895 | -0.6048771863022896 | 0.00125 | 0.00125 | -1.199999999999998 | -1.099999999999998 | -1.149999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.07434964245749143 | 0.5024002835652936 | -2.279642658018237 | -2.240472151103818 | 0.00125 | 0.00125 | -1.099999999999998 | -0.9999999999999979 | -1.049999999999998 | #N/A |  | 0.01639344262295082 | 0.04918032786885246
0.5573290209913466 | 0.06980028721227427 | 0.9789619744663368 | -0.1425159874665697 | 0.00125 | 0.00125 | -0.9999999999999979 | -0.8999999999999979 | -0.949999999999998 | #N/A |  | 0.01639344262295082 | 0
0.05237652472624177 | 0.9890823513396754 | 2.422989987196738 | 1.129848627183079 | 0.00125 | 0.00125 | -0.8999999999999979 | -0.7999999999999979 | -0.8499999999999979 | #N/A |  | 0.01639344262295082 | 0
0.5337805195822511 | 0.6556644310694537 | -0.625945220806859 | 0.7970113025966924 | 0.00125 | 0.00125 | -0.7999999999999979 | -0.699999999999998 | -0.749999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.3213963604030141 | 0.3189481511499253 | -0.6324998444886764 | 1.114404962295187 | 0.00125 | 0.00125 | -0.699999999999998 | -0.599999999999998 | -0.6499999999999979 | #N/A |  | 0.01639344262295082 | 0.06557377049180328
0.180336332288789 | 0.2235177321426818 | 0.3065590774514416 | 1.735259209012365 | 0.00125 | 0.00125 | -0.599999999999998 | -0.499999999999998 | -0.549999999999998 | #N/A |  | 0.01639344262295082 | 0
0.068593199190218 | 0.4663876108852492 | -2.26354291867557 | -2.306602089492199 | 0.00125 | 0.00125 | -0.499999999999998 | -0.399999999999998 | -0.449999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.4084566898764024 | 0.1125865916164912 | 1.01709077649082 | 0.1434243164913772 | 0.00125 | 0.00125 | -0.399999999999998 | -0.299999999999998 | -0.349999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.09204977171702922 | 0.88153729372425 | 1.606601499689219 | -1.356027331236284 | 0.00125 | 0.00125 | -0.299999999999998 | -0.199999999999998 | -0.2499999999999981 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.9980327481198401 | 0.9507013718503003 | 0.05976986448509967 | 0.02301781373796562 | 0.00125 | 0.00125 | -0.199999999999998 | -0.09999999999999803 | -0.149999999999998 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.8410628566480227 | 0.7019306867932755 | -0.175014635292332 | -0.5242649379530753 | 0.00125 | 0.00125 | -0.09999999999999803 | 1.970645868709653e-15 | -0.04999999999999803 | #N/A |  | 0.01639344262295082 | 0.04918032786885246
0.7125389684233596 | 0.7065276365319733 | -0.2220973304101911 | -0.810690826545769 | 0.00125 | 0.00125 | 1.970645868709653e-15 | 0.100000000000002 | 0.05000000000000197 | #N/A |  | 0.01639344262295082 | 0.06557377049180328
0.1949443761004659 | 0.4412025102856205 | -1.686330714687662 | 1.665556163889082 | 0.00125 | 0.00125 | 0.100000000000002 | 0.200000000000002 | 0.150000000000002 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.3016661264973663 | 0.7062504925206667 | -0.4202347234934624 | -0.7438409115680592 | 0.00125 | 0.00125 | 0.200000000000002 | 0.300000000000002 | 0.250000000000002 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.1260616738945828 | 0.5765090502782186 | -1.804518957233515 | 1.916939056452439 | 0.00125 | 0.00125 | 0.300000000000002 | 0.400000000000002 | 0.350000000000002 | #N/A |  | 0.01639344262295082 | 0.06557377049180328
0.5211665969127353 | 0.9841178287724688 | 1.135973100944456 | 0.8609664764202906 | 0.00125 | 0.00125 | 0.400000000000002 | 0.500000000000002 | 0.450000000000002 | #N/A |  | 0.01639344262295082 | 0.01639344262295082
0.4383915291800804 | 0.8374707028851844 | 0.6708146953388754 | -1.128544888819494 | 0.00125 | 0.00125 | 0.500000000000002 | 0.600000000000002 | 0.550000000000002 | #N/A |  | 0.01639344262295082 | 0
0.8345425243051068 | 0.5106724188317457 | -0.6000991389338047 | 0.3538269846871534 | 0.00125 | 0.00125 | 0.600000000000002 | 0.700000000000002 | 0.6500000000000019 | #N/A |  | 0.01639344262295082 | 0.06557377049180328
0.2861537248736568 | 0.7772014690863216 | 0.2690535397638706 | 1.570591526593395 | 0.00125 | 0.00125 | 0.700000000000002 | 0.8000000000000019 | 0.750000000000002 | #N/A |  | 0.01639344262295082 | 0
0.5706081333919428 | 0.6425233435611517 | -0.6621949441449313 | 0.9021346453926602 | 0.00125 | 0.00125 | 0.8000000000000019 | 0.9000000000000019 | 0.8500000000000019 | #N/A |  | 0.01639344262295082 | 0.03278688524590164
0.5125669272038067 | 0.1545008382427113 | 0.6528400322792594 | -0.9473096063080039 | 0.00125 | 0.00125 | 0.9000000000000019 | 1.000000000000002 | 0.950000000000002 | 0 |  | 0.01639344262295082 | 0.06557377049180328
0.3864044596593885 | 0.447004350708994 | -1.30328866154892 | -1.302456590933493 | 0.00125 | 0.00125 | 1.000000000000002 | 1.100000000000002 | 1.050000000000002 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.1431642207298864 | 0.8596111841115999 | 1.253081575080895 | 1.971311392126084 | 0.00125 | 0.00125 | 1.100000000000002 | 1.200000000000002 | 1.150000000000002 | 0 |  | 0.01639344262295082 | 0.03278688524590164
0.4048366458227974 | 0.1734294105945082 | 0.6223306346146382 | -0.9348498409157702 | 0.00125 | 0.00125 | 1.200000000000002 | 1.300000000000002 | 1.250000000000002 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.943207059028282 | 0.2133789984200121 | 0.07799208697042978 | 0.1609484640048485 | 0.00125 | 0.00125 | 1.300000000000002 | 1.400000000000002 | 1.350000000000002 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.5820419994206532 | 0.4904299187255674 | -1.038516413818263 | -0.2493315146539578 | 0.00125 | 0.00125 | 1.400000000000002 | 1.500000000000002 | 1.450000000000002 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.3243276828534363 | 0.8660520600988093 | 0.9998282221312191 | -0.001619687991649588 | 0.00125 | 0.00125 | 1.500000000000002 | 1.600000000000003 | 1.550000000000002 | 0 |  | 0.01639344262295082 | 0
0.9459750275682524 | 0.7738548099341642 | 0.04976717257180126 | 0.102526608554867 | 0.00125 | 0.00125 | 1.600000000000003 | 1.700000000000003 | 1.650000000000003 | 0 |  | 0.01639344262295082 | 0.04918032786885246
0.04200406467498397 | 0.9957030669384039 | 2.517013625782619 | -0.2686538957369694 | 0.00125 | 0.00125 | 1.700000000000003 | 1.800000000000003 | 1.750000000000003 | 0 |  | 0.01639344262295082 | 0
0.8418763501813373 | 0.2055825547085988 | 0.1616271861907176 | 0.4985751529873106 | 0.00125 | 0.00125 | 1.800000000000003 | 1.900000000000003 | 1.850000000000003 | 0 |  | 0.01639344262295082 | 0
0.3590982389187047 | 0.06120190094588907 | 1.326674660220583 | 1.268296652780813 | 0.00125 | 0.00125 | 1.900000000000003 | 2.000000000000003 | 1.950000000000003 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.1648470114951124 | 0.5895556914038025 | -1.606051387427075 | 1.173679270830207 | 0.00125 | 0.00125 | 2.000000000000003 | 2.100000000000003 | 2.050000000000002 | 0 |  | 0.01639344262295082 | 0
0.1247922602369727 | 0.5881680099646474 | -1.735023890358663 | 2.031123968675809 | 0.00125 | 0.00125 | 2.100000000000003 | 2.200000000000003 | 2.150000000000003 | 0 |  | 0.01639344262295082 | 0
0.5650728106165843 | 0.8997585082579604 | 0.8634463366402025 | -0.8083211193343622 | 0.00125 | 0.00125 | 2.200000000000003 | 2.300000000000003 | 2.250000000000003 | 0 |  | 0.01639344262295082 | 0
0.08247876308450941 | 0.3717282595052893 | -1.546821039857407 | 0.6477498970392822 | 0.00125 | 0.00125 | 2.300000000000003 | 2.400000000000003 | 2.350000000000003 | 0 |  | 0.01639344262295082 | 0
0.267770333952285 | 0.004320370736422774 | 1.622747623050499 | -1.131519449316921 | 0.00125 | 0.00125 | 2.400000000000003 | 2.500000000000003 | 2.450000000000003 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.8265064415136294 | 0.09978982423490379 | 0.4999084230265669 | 0.0003552080778392503 | 0.00125 | 0.00125 | 2.500000000000003 | 2.600000000000003 | 2.550000000000003 | 0 |  | 0.01639344262295082 | 0.01639344262295082
0.9749548483123363 | 0.4690448147075585 | -0.2209825952538192 | -0.2214962092535147 | 0.00125 | 0.00125 | 2.600000000000003 | 2.700000000000003 | 2.650000000000003 | 0 |  |  | 0
0.9519148046019836 | 0.6445864913357582 | -0.193061021970974 | -0.2940643657432666 | 0.00125 | 0.00125 | 2.700000000000003 | 2.800000000000003 | 2.750000000000004 | 0 |  |  | 0
0.5638284978213335 | 0.4112457143201027 | -0.9083308070762565 | 0.5830605287309253 | 0.00125 | 0.00125 | 2.800000000000003 | 2.900000000000003 | 2.850000000000003 | 0 |  |  | 0
0.2504110680438316 | 0.7687426208512989 | 0.1955199771761348 | 1.567573942837127 | 0.00125 | 0.00125 | 2.900000000000003 | 3.000000000000004 | 2.950000000000004 | 0 |  |  | 0
0.7925767816677762 | 0.2956908683154325 | -0.1930731392807629 | -0.6387048018347765 | 0.00125 | 0.00125 | 3.000000000000004 | 3.100000000000004 | 3.050000000000003 | 0 |  |  | 0
0.05561648584898649 | 0.3707934433750779 | -1.654272136763136 | 1.981987263407673 | 0.00125 | 0.00125 | 3.100000000000004 | 3.200000000000004 | 3.150000000000004 | 0 |  |  | 0
0.853156145291905 | 0.5583021743004792 | -0.5261892491552137 | 0.0923206440385226 | 0.00125 | 0.00125 | 3.200000000000004 | 3.300000000000004 | 3.250000000000004 | 0 |  |  | 0
0.164322785344666 | 0.5519276058203104 | -1.800223861598587 | 1.806641288274222 | 0.00125 | 0.00125 | 3.300000000000004 | 3.400000000000004 | 3.350000000000004 | 0 |  |  | 0
0.1234400302373615 | 0.9370314539937681 | 1.88746700284107 | -1.328757223048872 | 0.00125 | 0.00125 | 3.400000000000004 | 3.500000000000004 | 3.450000000000004 | 0 |  |  | 0
0.3440465946905533 | 0.9883483960056765 | 1.456893839542255 | 0.3908311892415451 | 0.00125 | 0.00125
0.1575585909458823 | 0.8759042786405189 | 1.367097912498412 | 1.425187605258382 | 0.00125 | 0.00125
0.7759446627924262 | 0.7763704946937651 | 0.1174795347019441 | 0.4793081315023033 | 0.00125 | 0.00125
0.711216113680166 | 0.6629208698177536 | -0.4294936967752361 | -0.3538831114595873 | 0.00125 | 0.00125
0.1715104407985564 | 0.7033000700012053 | -0.5431264929347576 | 0.5026330659776825 | 0.00125 | 0.00125
0.734690902573675 | 0.1934887467577937 | 0.2729958784379547 | 0.777063325534973 | 0.00125 | 0.00125
0.7877011507180498 | 0.9286704086744066 | 0.6226201823752318 | -0.4811454980671863 | 0.00125 | 0.00125
0.3184925011773885 | 0.8725612579210065 | 1.053137153840142 | 0.4957208806187202 | 0.00125 | 0.00125
0.3956624043203192 | 0.4562233265787654 | -1.310570225166355 | -1.26432742134413 | 0.00125 | 0.00125
0.9940352773473933 | 0.8213949987093656 | 0.04743975541418253 | 0.03212414073403 | 0.00125 | 0.00125
0.1704942028381993 | 0.08849276534601813 | 1.597642450721799 | -1.082953748659669 | 0.00125 | 0.00125
0.1689362813449407 | 0.7668522591256988 | 0.1993129729274956 | 1.791026964479838 | 0.00125 | 0.00125
0.587244430780629 | 0.1394374058891117 | 0.660505530060615 | -0.8729362311872642 | 0.00125 | 0.00125
0.6835045451571204 | 0.07193641659341665 | 0.7847739302256729 | -0.8516380877260737 | 0.00125 | 0.00125
0.186475303293264 | 0.4276445967361724 | -1.646577291544021 | 1.459204773268976 | 0.00125 | 0.00125
0.3687781412172626 | 0.02013507077663235 | 1.401198579490342 | 0.8216099361907638 | 0.00125 | 0.00125
0.2793151389741979 | 0.9005743378647821 | 1.295485864449948 | 1.532347931354478 | 0.00125 | 0.00125
0.9360687011285336 | 0.4490398730367815 | -0.3450258581262413 | -0.300611229623152 | 0.00125 | 0.00125
0.9790504202264856 | 0.2071705997204845 | 0.05470974991984039 | 0.06935134923918586 | 0.00125 | 0.00125
0.324783692726669 | 0.8100357862495002 | 0.5524011645888033 | -0.4849076360551056 | 0.00125 | 0.00125
0.3351275718696343 | 0.3859414198395825 | -1.11493734031392 | -0.9774304099514034 | 0.00125 | 0.00125
0.4624768927142213 | 0.9731739085509616 | 1.224301101420313 | 1.225745899736709 | 0.00125 | 0.00125
0.2680544468157819 | 0.02328427138806433 | 1.605357600190594 | -0.9974379332060751 | 0.00125 | 0.00125
0.5783093387741474 | 0.592609779234408 | -0.8743279707351111 | 0.7431494915432506 | 0.00125 | 0.00125
0.3556534462159107 | 0.2388791802841297 | 0.1003913178638974 | 0.8480423724713189 | 0.00125 | 0.00125
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