Excel work

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ExampleforExcelwork2.xlsx

mu of 0, sigma of 1

mu 0
sigma 1
1 2 3 4 5 6 7 8 9 10
n sum
1 20.40371 2.56383 1.79803 0.49511 1.95233 0.57854 0.23068 5.79767 0.90140 5.70767 0.37847
2 14.38503 0.51825 1.32446 0.15305 2.22377 0.78677 1.90044 1.83315 1.85601 2.12197 1.66716
3 18.13824 1.32088 2.36300 3.11637 0.42200 4.51427 3.03160 0.37746 0.98754 1.69863 0.30650
4 13.14970 0.26555 2.04465 0.10299 0.65635 0.98734 4.62922 2.34689 0.87315 0.31494 0.92863
5 24.87082 0.29648 0.93477 1.44298 0.37611 0.72463 1.35946 2.59189 1.03694 2.02309 14.08448
6 8.67422 1.33446 1.12719 0.20934 0.44494 0.34428 0.38737 0.51513 0.26739 3.34350 0.70062
7 14.21552 1.23479 3.48115 1.56684 0.15744 0.37257 0.90719 1.95844 0.36782 2.70029 1.46899
8 7.75092 0.28045 0.68031 0.71567 1.49348 1.12474 1.25576 0.55132 0.08523 0.89510 0.66885
9 14.35531 4.57939 0.34130 0.43968 0.72834 1.80460 0.28566 2.32695 1.48834 0.95904 1.40202
10 10.53797 1.29501 0.75379 0.43429 0.54463 0.22049 1.82217 0.96824 2.91253 0.52535 1.06148
11 12.50481 0.59635 0.23453 0.11479 0.43633 3.81842 0.44526 0.15054 1.23745 4.50142 0.96973
12 15.34257 1.52071 2.12486 0.72343 1.50615 0.33246 3.65959 0.68070 3.59067 0.86050 0.34349
13 8.83011 1.02379 0.17274 1.33215 0.54772 0.39408 0.53805 1.22645 2.16941 0.61490 0.81083
14 11.95360 0.99570 1.80661 4.52393 0.18495 0.57356 0.30813 0.84164 0.62386 1.40445 0.69076
15 12.00493 2.20614 1.27318 1.28765 0.71595 0.34001 0.10365 0.65961 3.27082 1.45078 0.69713
16 16.49413 0.35237 0.98442 6.98854 1.90234 0.17569 0.31957 0.96107 0.26539 3.51760 1.02712
17 17.85774 0.50429 1.52730 0.94838 1.74316 4.33063 3.17139 0.61233 1.41712 3.46624 0.13692
18 17.04198 2.12854 0.95394 0.60690 3.90764 0.29985 1.53100 0.83696 6.21936 0.10454 0.45324
19 16.83587 0.06077 3.04171 0.52264 1.11652 2.71235 0.63733 2.91328 4.66920 0.55898 0.60309
20 16.81665 0.62897 0.42627 2.16068 0.42964 0.48866 0.53297 4.69937 1.29656 0.87889 5.27463
21 19.57429 0.76466 4.50661 1.86455 2.15497 6.07242 1.47083 0.22832 1.05924 0.58724 0.86545
22 15.43752 3.18357 3.14710 2.94338 0.35219 0.42413 1.73348 0.91049 0.68975 0.39979 1.65364
23 22.40753 0.28574 2.46445 2.86802 1.71727 0.24000 0.85042 1.50076 8.35769 1.98713 2.13605
24 15.87311 3.73055 0.40004 2.51284 0.29577 1.70853 2.10104 2.02194 1.77017 0.75307 0.57916
25 17.48941 0.14773 0.55896 1.32341 0.51747 1.26049 0.71974 2.73339 3.25123 1.33765 5.63932
26 11.12719 0.64378 0.46096 2.83587 2.15800 0.47438 1.22009 0.57561 0.61807 0.11590 2.02454
27 15.25719 1.81299 0.68395 0.79041 1.34649 0.26926 0.93683 1.74587 3.00552 0.38836 4.27750
28 13.12246 1.99632 1.71405 0.40833 0.48103 3.53114 0.91399 1.23722 1.12650 0.13244 1.58145
29 12.29722 1.04377 4.28015 0.38737 0.71775 0.09764 2.75613 0.35325 1.10644 0.79085 0.76389
30 10.38882 0.85135 1.96145 0.14488 0.09837 0.30242 2.78489 1.72312 1.56747 0.60806 0.34679
31 12.08161 0.97608 0.23407 1.35124 1.30910 0.14929 1.27972 0.62379 1.04323 1.50019 3.61491
32 9.25917 1.62527 2.49526 0.36488 0.60401 0.73274 0.24067 0.72041 0.99681 0.48202 0.99710
33 21.68132 0.46365 0.98501 0.31241 3.78650 2.73397 0.46540 10.38883 0.47660 0.58719 1.48176
34 20.41976 5.07858 2.21668 1.07301 1.55362 0.73371 0.46760 2.30874 0.54468 4.96632 1.47683
35 16.49375 0.35677 3.15157 0.24171 1.00915 1.82896 5.13732 1.68136 1.22857 1.36904 0.48930
36 11.12590 0.98642 0.84947 0.13226 4.06661 0.29932 1.12244 1.32777 0.14444 1.45640 0.74075
37 17.58391 1.18328 1.04665 1.42974 2.43134 4.54900 1.61278 1.10917 1.02319 2.71341 0.48535
38 23.91740 5.22150 2.15911 1.94768 1.54635 2.36343 3.09655 2.38860 0.83174 3.61298 0.74948
39 20.71271 0.85170 1.55515 0.70967 4.60631 1.16036 0.56945 0.68038 8.13666 1.07158 1.37146
40 16.54391 1.91524 2.61558 1.68643 0.38211 6.43817 0.91583 0.23537 1.15853 0.71555 0.48110
41 11.11244 0.53064 0.18076 0.68007 0.88460 4.02929 0.93603 0.82869 2.06524 0.42812 0.54901
42 9.21027 0.78371 0.31624 0.81054 0.66496 1.99050 1.90674 0.26965 1.23269 0.90204 0.33321
43 18.65040 1.86049 0.14100 0.20526 2.56455 1.87939 5.91081 0.43939 0.45377 0.80495 4.39079
44 26.26880 0.26679 1.34325 0.11867 0.33280 0.23395 8.14521 5.10919 8.22751 1.57448 0.91695
45 10.16917 1.79237 0.92703 0.39096 1.70071 0.90912 2.20670 0.61120 0.72493 0.25658 0.64958
46 18.69781 1.06268 0.96208 0.37958 0.78884 1.09590 0.59130 0.53925 0.46860 0.57967 12.22991
47 8.78717 1.48031 1.20944 0.49370 0.54166 0.65892 0.88338 0.76194 0.45708 1.43084 0.86991
48 29.00538 1.40164 0.70729 9.23378 3.30458 2.20592 0.15508 1.30353 2.16261 5.23724 3.29372
49 25.08190 0.43212 0.34463 0.70310 0.19617 1.51241 11.71153 5.45844 0.16996 3.24067 1.31288
50 24.37814 6.48162 4.95704 0.13525 0.94435 1.15241 6.01178 0.32846 0.93008 3.25563 0.18152
51 16.50983 1.17140 0.79201 0.72557 0.54051 1.90267 1.16349 5.17644 2.81096 0.77829 1.44848
52 18.86953 0.70602 2.16247 1.66422 2.02001 0.33681 3.24851 2.53077 2.63037 1.13314 2.43720
53 24.80393 3.08728 0.52636 0.51002 12.10755 5.26690 0.20532 0.71857 0.75145 0.92720 0.70327
54 16.51622 0.58529 1.28392 6.10185 0.29985 2.28719 1.00991 0.39004 2.50050 1.34139 0.71629
55 14.05559 3.14165 0.27617 1.72332 4.31846 0.15241 2.76053 0.37680 0.48483 0.22360 0.59784
56 11.82151 0.23185 2.03626 2.58309 1.98764 0.51959 0.27875 1.40700 0.66660 1.17000 0.94072
57 15.65449 0.37083 0.83819 2.85975 2.66458 0.12908 4.41329 1.25409 1.79232 1.01172 0.32064
58 12.20987 2.85023 0.67103 0.56547 0.60028 0.25417 0.33598 0.59914 0.90772 2.74014 2.68572
59 16.76502 0.47621 1.33554 0.50685 4.68976 2.77008 1.24732 0.29623 2.58453 2.78626 0.07225
60 18.62408 2.88876 1.45013 0.32451 1.63731 2.18857 0.73593 4.15784 0.77837 4.10630 0.35635
61 11.07366 2.58828 0.45052 0.57238 0.44374 0.66390 2.90330 0.47344 0.34677 1.69440 0.93692
62 7.73699 1.17011 0.99736 0.35554 0.28160 0.75544 1.32567 0.94783 0.85642 0.61805 0.42898
63 9.15320 3.11362 0.92875 0.63976 0.21998 0.14904 0.81896 0.11258 0.57599 0.47994 2.11457
64 8.48546 0.97311 0.57621 0.26715 0.91388 0.37358 0.53259 1.52999 1.83829 0.30725 1.17343
65 10.10400 4.26436 0.09739 0.67701 0.48394 0.47863 0.58799 0.29747 0.33401 0.96012 1.92307
66 16.11426 0.85488 0.16728 2.13669 2.49029 0.28558 0.53954 1.57760 0.45131 6.58951 1.02157
67 7.41599 0.78984 1.74337 0.40230 1.63702 0.32247 0.56756 0.31389 1.14523 0.26311 0.23120
68 12.02034 0.97206 2.55309 0.41311 1.32283 0.51228 2.03776 1.30845 1.71913 0.86581 0.31582
69 8.50754 0.55428 0.36598 0.15985 1.15703 0.15856 3.35251 1.23043 0.71139 0.32738 0.49013
70 10.98870 1.37435 0.46511 1.64531 0.68732 1.19498 2.52802 1.18996 1.26543 0.13436 0.50384
71 25.69122 0.48672 7.60687 3.06104 3.69420 0.38935 0.17108 0.68400 0.31551 8.03335 1.24911
72 30.99890 0.66694 3.87205 4.40533 10.91830 1.36000 2.21427 0.23016 1.90578 0.84555 4.58053
73 18.46606 0.50310 0.18379 6.42950 0.42842 1.20300 0.96442 1.81486 3.71864 1.87714 1.34319
74 17.12213 0.13450 0.95573 7.87812 0.49284 1.73259 3.20881 1.20691 0.47246 0.09684 0.94334
75 18.61465 0.82473 0.52255 3.34954 1.58772 5.49264 0.39906 0.82895 0.94350 4.27394 0.39203
76 13.07091 1.08666 1.60300 2.02719 3.29090 0.80484 1.31202 1.86263 0.57865 0.20549 0.29954
77 15.51940 3.37145 0.69957 4.12681 0.27163 2.04422 2.14154 0.63241 0.75886 0.64617 0.82675
78 29.55859 0.96284 3.07551 0.15821 3.45039 1.13480 1.96688 0.58043 1.04208 16.97838 0.20907
79 14.70219 0.99137 0.74378 0.29398 1.59823 0.23097 2.57836 1.41673 2.41087 0.44866 3.98923
80 17.57955 1.86298 0.16457 0.32196 0.74964 2.57287 2.73054 1.60547 1.63232 3.89546 2.04374
81 10.05186 1.00388 0.62229 1.87640 1.85106 0.36449 0.12515 0.30113 1.25659 1.16232 1.48857
82 10.85173 0.06115 0.97489 1.15021 1.21683 0.73944 0.84157 0.42368 1.31503 2.91424 1.21469
83 17.37301 2.37216 1.75117 1.24659 3.53293 0.56341 2.44581 0.42010 3.21876 0.44555 1.37654
84 35.74747 0.17391 2.27306 28.93062 0.04273 0.33242 0.52600 0.79045 1.06336 0.44034 1.17458
85 21.43019 1.92917 2.54562 0.64428 0.90786 4.19438 3.41914 1.78558 1.57650 3.53819 0.88948
86 18.16168 1.35116 5.77984 1.42709 1.39437 0.20071 1.12553 0.25606 4.74421 1.16001 0.72269
87 12.04172 0.26842 2.77601 2.34911 0.45636 2.22136 0.10030 0.69331 0.79794 0.20231 2.17660
88 17.96910 2.54617 0.68633 2.51733 1.00512 0.92284 3.61502 0.21306 2.55546 0.28177 3.62601
89 9.51708 0.45459 0.99660 1.26007 0.25588 0.30852 4.77203 0.48405 0.29460 0.12776 0.56299
90 18.96748 5.77204 0.78717 1.26453 2.64559 2.86652 0.55463 0.60770 0.36474 3.60441 0.50016
91 20.52596 0.82192 2.92607 2.14238 1.85500 0.59482 2.57065 6.91257 0.16928 0.69037 1.84289
92 11.89812 3.12378 1.49682 0.62786 2.71770 0.64225 0.79010 0.66403 0.09669 0.95589 0.78300
93 16.74893 0.39456 3.09234 1.88889 1.71518 2.49372 1.91191 2.94186 0.22671 0.74561 1.33816
94 18.79222 6.89813 0.50482 1.99943 0.35144 2.69207 2.64335 0.97171 0.86375 0.69765 1.16986
95 18.40187 0.90671 0.88335 1.16175 2.17333 0.88848 0.73749 2.83058 0.32898 3.07489 5.41631
96 12.43706 1.44323 0.24762 1.50497 4.43581 0.21870 0.68925 0.21024 0.22581 0.88806 2.57337
97 10.06276 0.17898 0.40121 0.35942 0.29989 2.08684 0.85018 0.20752 2.00718 2.03379 1.63776
98 15.74283 3.51753 0.87146 0.56029 0.99547 0.25896 0.91447 0.87132 0.71749 1.88142 5.15442
99 20.04922 2.45327 4.37653 1.10756 3.07213 0.90663 0.50047 1.59161 4.86742 0.29469 0.87891
100 10.89876 1.07437 0.45220 2.86748 1.27172 0.26629 1.01205 0.60707 0.45756 0.35553 2.53448

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20.403711305996428 14.385033836544503 18.138238812146792 13.149697549699873 24.870820924279094 8.6742243105807528 14.215517967538375 7.7509179044137291 14.355313225018417 10.53797084631158 12.504810202331102 15.342573988803535 8.8301134564855399 11.953599485711777 12.004934901624676 16.494130563987895 17.857743779900083 17.041975600730655 16.835872890773231 16.816646881191868 19.574291957899863 15.437518096679748 22.407531190947637 15.873106620004924 17.489405453036923 11.12718929186914 15.257188571206267 13.122459970742986 12.297222767475249 10.388817493166615 12.081608813564326 9.2591733545556103 21.681324766211922 20.419761452457774 16.493754349834209 11.125895587308724 17.583913840020667 23.917399704053324 20.712713710034883 16.543909089969031 11.112440460655844 9.2102666642438322 18.65040036569718 26.268798543625355 10.169174192823085 18.697814688118818 8.7871702829143992 29.005384269896009 25.081903669386456 24.378142329690078 16.509826990450069 18.869532612025171 24.803933396866885 16.516223340564046 14.055592000494501 11.821511542409262 15.654494083847553 12.209871055712282 16.765023486867719 18.624079789900858 11.073657495227778 7.7369853633604162 9.1532046983046165 8.4854560451068561 10.103996466990598 16.114255465473555 7.4159946035264683 12.020338186684803 8.5075404981615481 10.988697525169865 25.691221871778769 30.998902595799969 18.466058964816987 17.122133480952595 18.614651549893299 13.070913412530922 15.519397186315683 29.558592379367763 14.702190409585693 17.579546787192804 10.051859022603715 10.851726987963497 17.373012120737542 35.747467075883279 21.43019248006124 18.161680635011699 12.041722572114903 17.96909653487538 9.5170788646464199 18.967481844748821 20.525961174846909 11.898119775072573 16.748933172975242 18.792217781222806 18.401871397628696 12.437057336769305 10.062758736037061 15.742828208790122 20.049222275396968 10.898762258911045

mu of 1, sigma of 2

mu 0
sigma 1
1 2 3 4 5 6 7 8 9 10
n sum
1 144.92661 1.18481 6.57013 6.35886 0.09853 31.18571 61.10512 11.35209 14.41760 10.29450 2.35924
2 90.63360 0.47665 2.82248 5.69818 0.38236 74.58428 0.82185 1.04774 1.54280 2.14126 1.11601
3 202.23821 2.98432 14.95959 2.00463 2.02542 5.71689 68.49957 0.33568 9.72169 10.64289 85.34753
4 76.19973 4.00483 12.62542 14.95952 7.23716 8.44527 10.04368 2.71312 3.64340 7.66162 4.86570
5 73.93447 0.19929 25.78403 4.33313 0.28695 0.36790 1.45393 0.18836 0.16417 26.57604 14.58065
6 81.92822 22.44646 4.49506 0.74078 4.54147 3.74970 18.94301 10.75946 0.89556 5.72618 9.63053
7 78.89941 0.92750 1.67379 4.61881 16.18135 10.47230 16.55743 2.66329 0.01274 0.31307 25.47912
8 35.15083 7.85427 0.59364 1.36007 2.16730 0.10753 1.44408 0.33540 0.31013 19.73368 1.24472
9 183.32726 7.70199 44.22050 0.99282 105.74300 0.06544 0.12183 10.08840 8.27068 5.84938 0.27322
10 82.31245 1.34772 0.07946 0.84681 15.61904 0.27874 5.96852 0.89280 50.17372 2.68878 4.41687
11 188.99370 10.90797 1.91946 11.41758 69.99213 0.67556 64.26275 0.19787 0.35749 28.23627 1.02661
12 249.76821 5.36784 194.87402 6.99602 4.63007 3.07699 0.83403 2.28624 18.53392 13.07906 0.09002
13 79.19320 2.21056 0.16845 48.47024 3.67592 10.80242 2.28526 0.19131 3.35740 2.82257 5.20907
14 135.17851 14.57767 4.39833 2.57284 0.77493 0.11788 0.40419 0.11601 0.61209 3.31716 108.28740
15 113.35017 1.75446 0.19360 4.17016 1.22178 58.64289 4.11821 36.43827 0.24459 0.21175 6.35445
16 274.86712 0.03900 8.40858 236.83736 0.38377 0.78887 1.11489 14.50207 0.20051 10.76357 1.82850
17 47.33254 5.93970 0.15444 2.10454 0.85993 0.71031 17.54686 0.48369 7.45059 9.30371 2.77877
18 99.67572 0.32203 6.25943 13.95128 0.83604 59.72911 4.59342 2.79679 1.82099 6.71965 2.64698
19 286.87380 25.90003 0.32123 40.54174 154.13247 0.52731 12.63681 7.35335 26.98434 17.50827 0.96824
20 43.53669 0.24315 0.91363 3.55461 0.07828 0.08763 10.78374 1.54443 8.02259 16.72442 1.58422
21 411.66775 1.05813 0.11986 1.49071 0.09790 1.76315 399.18384 1.31218 1.58285 0.53959 4.51954
22 51.54585 4.61782 24.49068 1.13136 0.75899 8.79393 4.72804 2.03513 0.25483 0.13885 4.59623
23 42.72204 1.08186 4.36016 10.02771 0.01562 1.61528 15.03459 8.57199 0.67516 1.00362 0.33604
24 99.83964 1.92317 1.56821 5.22190 0.31738 7.90472 29.41116 0.51849 23.52571 26.06298 3.38590
25 68.54827 0.95636 1.06482 14.41829 13.88944 0.63701 4.76519 1.35672 0.07797 29.61170 1.77075
26 144.40240 34.75265 7.36193 0.10455 51.79070 0.48772 2.62206 33.10891 0.57356 0.23936 13.36097
27 137.68914 0.60002 80.98288 11.47310 6.77260 1.10993 10.76879 0.59524 2.04795 0.18486 23.15375
28 116.41674 0.87755 0.04809 0.55682 7.34884 0.25363 18.49743 0.10329 1.36651 0.20394 87.16064
29 85.83731 0.35323 33.13993 0.28970 0.10160 9.47804 6.97577 20.09193 1.75843 0.29093 13.35775
30 102.88685 0.32638 4.30706 0.84912 2.03891 2.14468 2.19814 4.05083 2.15288 2.39537 82.42350
31 65.58749 0.29198 20.83037 7.33723 0.38284 7.68206 13.44759 6.79258 7.84917 0.65277 0.32089
32 79.59072 37.91509 1.09444 1.49812 0.56016 23.82976 8.32698 1.71695 2.14071 1.50260 1.00591
33 142.26827 1.50174 32.96950 39.30533 22.67894 0.41429 12.53346 0.97487 6.32930 0.14461 25.41622
34 281.19675 0.55434 107.12614 0.12229 157.87745 0.22231 0.99045 3.74308 0.18585 0.82846 9.54637
35 99.48028 28.71804 21.67368 8.94675 28.93622 0.62444 2.07842 2.88862 1.74107 0.01703 3.85601
36 54.15988 0.48380 2.16670 1.57771 0.19916 11.12681 0.92914 11.02676 16.41840 10.10475 0.12665
37 111.04220 0.29767 44.11030 6.35479 31.76884 2.31923 13.51263 0.58086 2.42660 0.38414 9.28713
38 72.16676 0.32828 15.26291 6.27635 0.96529 2.66043 0.26525 5.27918 0.05252 33.98362 7.09293
39 243.78577 0.42482 152.51640 5.10173 2.04541 7.70329 0.31382 1.09181 11.94907 0.43822 62.20119
40 316.83546 95.58035 1.40185 0.10865 1.34375 0.24061 0.76756 0.26024 1.43576 7.61142 208.08526
41 51.79858 0.19502 10.47836 0.56185 4.44304 0.50361 6.76292 4.96180 5.78507 12.76532 5.34158
42 204.77789 7.06421 6.62128 7.88900 0.29940 12.03313 118.12154 0.14603 28.62214 18.64337 5.33780
43 33.64963 10.94656 1.53477 0.10269 2.66292 3.77338 6.48512 1.60955 0.38521 5.89915 0.25026
44 387.16144 3.42786 1.34856 0.27532 56.32008 0.81604 0.02387 2.03361 1.31512 21.42760 300.17338
45 24.06951 1.48773 0.28862 0.09653 1.70911 0.11147 5.29356 1.02059 8.77724 3.71981 1.56484
46 88.29993 11.49490 0.12857 1.30790 21.91322 0.20299 0.14208 20.58450 31.11407 0.97175 0.43996
47 54.82795 4.68611 4.03657 0.80263 7.89359 23.70308 0.92464 0.04756 0.84282 3.71018 8.18076
48 138.54949 0.01725 0.99084 0.18838 3.59969 3.31772 0.44868 0.14768 112.87450 15.92055 1.04420
49 177.74909 1.30196 0.03642 13.24148 157.79510 0.06404 1.66651 0.34751 1.48346 1.01905 0.79356
50 141.02375 39.15704 24.50571 2.52871 33.10845 2.16389 0.13441 4.13224 8.50554 0.02236 26.76541
51 38.76872 4.63530 8.41026 0.03684 8.66728 8.41494 0.17417 0.54961 0.08504 2.14778 5.64750
52 102.65806 12.72425 0.69073 28.33516 29.85637 14.08121 0.44070 2.88669 6.66879 3.76449 3.20968
53 82.56901 9.68888 17.73345 3.31862 0.23261 0.06982 39.82847 0.78671 3.17378 0.85056 6.88611
54 48.71802 0.47901 27.34169 2.46881 2.07170 2.97789 3.42485 0.34162 1.85598 7.72606 0.03039
55 44.19304 4.20428 15.38661 5.78693 2.56141 0.16840 1.88031 1.09867 10.83314 0.11379 2.15950
56 43.37017 0.82318 1.12719 0.50806 0.12760 18.14996 3.81073 14.09535 2.02382 2.60622 0.09805
57 96.65202 0.01804 2.95544 0.07927 6.30134 74.17246 4.22743 2.99279 4.12318 0.52543 1.25664
58 66.65462 11.85496 1.03384 4.17122 7.48278 12.04891 0.64066 0.07328 0.34515 3.79745 25.20638
59 72.73664 7.17887 3.84331 17.35500 0.57474 1.04562 41.47433 0.50477 0.28609 0.44326 0.03064
60 36.73003 15.36252 3.51333 0.10961 0.39762 6.82642 2.62280 5.70474 0.73121 1.01701 0.44476
61 39.64156 1.86777 1.57805 0.69695 1.35234 0.96287 2.41609 4.81723 5.47465 8.16008 12.31552
62 38.27116 9.58620 3.82495 2.79309 1.18192 0.78941 0.66983 10.39889 0.30279 2.51814 6.20595
63 288.14700 0.37019 11.84961 0.37579 46.02071 25.35564 144.23592 55.83528 0.56506 3.00716 0.53165
64 314.04066 1.48551 31.84500 2.71238 1.42011 25.78978 3.65164 1.46618 177.43186 56.21600 12.02220
65 167.34802 99.97404 0.75835 0.19676 2.38439 5.41417 1.64011 7.77876 0.66588 0.21973 48.31583
66 294.81680 4.78180 48.88371 30.60495 38.61763 19.37124 114.92950 11.80048 17.12982 8.50391 0.19376
67 194.45975 19.98564 3.55032 0.66788 0.81848 0.73572 0.08639 158.02220 0.17697 7.26010 3.15604
68 197.67659 0.48180 169.75645 0.40209 1.79308 0.75328 16.12675 6.78480 0.20995 1.06576 0.30263
69 626.02047 0.33886 3.00670 0.24059 5.90473 5.38652 4.39593 19.64667 3.78998 573.46260 9.84788
70 50.22854 0.71029 2.32504 20.48619 2.06226 2.02464 9.38770 4.69756 5.82172 2.42988 0.28325
71 92.64374 40.58269 1.24040 0.27409 1.22640 0.57419 0.07534 4.96687 10.60412 12.78486 20.31479
72 96.70254 2.73207 1.36550 1.96908 0.12321 0.30432 24.40117 5.70267 34.73789 25.05766 0.30896
73 95.95224 13.75685 1.46327 2.94151 18.61502 5.25439 27.93653 7.41116 4.23341 13.45059 0.88951
74 131.06851 4.15502 1.83168 9.00644 3.13723 2.96836 7.70978 80.07965 9.99178 11.03668 1.15188
75 156.64668 7.50835 2.55681 0.51677 2.68122 1.36500 0.89091 43.31952 9.22679 87.78053 0.80079
76 151.14413 56.15126 10.73844 7.66449 17.12717 15.51796 0.07258 21.28574 10.78787 2.24282 9.55580
77 84.78197 8.69143 2.59960 0.40930 1.99130 23.69265 0.47082 1.42173 44.36672 1.10405 0.03436
78 142.72671 1.28955 48.66252 52.43770 1.36396 9.80285 0.36590 14.48157 13.67931 0.18533 0.45802
79 126.26582 1.27448 2.42868 1.84855 8.20540 4.07951 2.62935 11.91083 2.57691 89.52652 1.78558
80 62.04203 0.65820 21.49321 7.80688 3.07824 0.12110 1.23328 22.14029 5.36403 0.05498 0.09184
81 192.91055 3.18051 7.65687 37.24749 0.32619 0.08224 0.82674 29.46711 106.67716 3.71345 3.73279
82 216.89709 89.13622 5.62300 1.21662 0.41278 1.44564 0.59204 88.23147 1.86125 21.89210 6.48596
83 110.16258 0.82079 1.18993 18.92765 6.07289 0.10485 16.31225 59.37066 0.33467 0.87079 6.15810
84 82.10808 5.78746 0.29987 0.45980 1.45067 8.61067 5.78756 6.30631 6.21424 44.01861 3.17289
85 109.26728 4.34586 2.66928 0.07982 24.22489 0.09796 18.24235 1.50713 0.85229 54.17356 3.07415
86 161.49168 8.88143 14.54067 0.29515 2.13169 2.88801 41.81022 21.78178 50.29432 5.73461 13.13381
87 168.82864 6.97727 76.29031 2.63238 0.81350 11.92533 17.48087 2.37354 37.92390 0.82684 11.58469
88 221.51332 19.83332 0.15698 0.08043 0.29777 2.98530 0.13968 10.53487 174.55705 10.13270 2.79523
89 121.53016 0.11910 15.43240 0.87477 0.76067 7.48493 54.39141 0.09158 0.68021 2.62061 39.07448
90 21.60125 1.30427 2.00790 2.08445 2.21772 3.24907 1.15270 0.22376 4.08468 4.97600 0.30071
91 196.32783 103.36453 0.28375 4.41211 2.77657 4.71593 11.53428 48.81482 17.01692 3.26928 0.13963
92 249.05671 9.91489 18.20974 23.23159 27.96260 1.16403 8.54880 7.61883 0.25898 5.40409 146.74316
93 125.87637 29.20588 34.68261 0.22248 20.98369 11.09107 6.82217 0.05097 17.46558 1.11903 4.23288
94 163.38648 1.51495 1.49217 0.09848 10.28206 7.65596 5.64479 73.13623 0.61022 13.71457 49.23707
95 652.92382 329.91788 258.64853 4.90718 27.41595 25.48216 0.30225 0.92941 2.50698 0.02328 2.79019
96 108.20868 1.01319 0.62245 1.38555 30.98372 13.47053 16.77692 24.38188 8.31832 10.50705 0.74907
97 93.63475 7.93078 0.59072 40.67830 2.19859 10.31941 1.61349 4.84731 1.22304 13.40078 10.83234
98 500.51975 0.82118 1.29422 409.62133 14.15548 20.37360 41.42882 0.33740 0.57765 10.75224 1.15784
99 203.78760 8.55214 0.21311 26.50081 0.67541 6.12847 0.13270 152.23228 6.76603 2.14109 0.44558
100 86.35485 3.46262 0.21639 0.40332 0.23250 10.40987 68.61372 0.62835 0.59448 0.63868 1.15492

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144.92661157466219 90.633602909716274 202.23820668340269 76.199728765750763 73.934465286994993 81.928216833661793 78.899408642157312 35.150828284149341 183.32726141108492 82.312447539006342 188.99370185924306 249.76820887447641 79.193200566088819 135.17850794451249 113.35016914126879 274.86712418724721 47.332543947874633 99.675724207753589 286.8737995880727 43.536693115404049 411.6677484023125 51.545846262468331 42.722039475107586 99.839637989876607 68.548265578908783 144.40240076864552 137.68913982512439 116.41673865425236 85.837310309129876 102.88684891685946 65.587494350123691 79.590724105346268 142.26827002152754 281.19675045325874 99.480281530979084 54.159880313709188 111.04219616840919 72.166760338018449 243.78576929899793 316.8354550993771 51.798575393911669 204.77788795730473 33.649631384998123 387.16143849578611 24.069507757940375 88.299925108689749 54.827949515219444 138.5494915934847 177.74909302661652 141.0237482734467 38.768723570758524 102.65805800668907 82.569008930099073 48.718015962455247 44.193037112534263 43.370168029297965 96.652023086295856 66.654624102383295 72.736639802067302 36.73003369615239 39.641564195837731 38.271160474545177 288.14700422802218 314.04065614449843 167.34802060034485 294.8167971728405 194.45974676646833 197.67659011575 626.0204697605302 50.22853523834101 92.643740362604063 96.702539871356876 95.952244243381315 131.06850941534427 156.64668199771265 151.1441337462912 84.781969329677295 142.72670734509398 126.26581565634574 62.042031910041288 192.91054503006387 216.89709457482527 110.16258034716529 82.10807804369712 109.2672835119359 161.49167709937237 168.82863618847517 221.51331993012639 121.53016194703406 21.601250829165291 196.32783326345177 249.05671360539714 125.87636591658546 163.38648400188023 652.92382290013927 108.20867517358575 93.634751629274845 500.51974880200515 203.7876046424858 86.354849172195856

mu of 3, sigma of 1.5

mu 0
sigma 1
1 2 3 4 5 6 7 8 9 10
n sum
1 575.16790 185.60113 66.37201 36.88487 34.86318 54.16858 10.72364 86.03213 10.89529 72.86025 16.76682
2 844.98284 404.54364 4.78149 8.20246 7.39607 22.12156 12.95361 37.91014 15.08661 21.56950 310.41776
3 494.77271 10.87575 10.71700 0.55294 55.16372 13.72220 78.74252 62.31524 26.03008 234.88443 1.76883
4 556.62641 17.06533 15.19750 0.80964 52.51436 319.13079 6.53196 2.97824 86.90746 7.75561 47.73555
5 843.75617 587.20479 29.62150 55.71950 7.48663 67.16943 34.00656 2.14531 1.58391 52.29029 6.52824
6 764.55051 36.01546 62.14476 30.52689 53.60752 226.42481 131.85753 14.10413 71.43546 132.43465 5.99930
7 428.96891 12.66268 65.96929 3.52831 2.99347 13.99764 99.75914 11.98614 10.65282 186.75177 20.66766
8 104.29019 2.17519 9.19228 14.06338 24.41043 21.16498 12.22586 6.83056 3.65695 2.36447 8.20610
9 150.73888 45.02096 1.74055 10.36479 66.62769 6.62523 4.77926 0.51079 5.41979 2.62466 7.02517
10 387.25155 5.05571 35.98248 103.04661 5.87218 1.67255 84.76405 4.71085 4.18603 15.72430 126.23679
11 441.33786 74.13544 57.88599 51.12920 175.90639 6.70768 11.97027 28.03100 4.96031 21.83877 8.77283
12 260.60915 11.15395 1.57939 15.58834 34.13777 78.90350 11.63539 0.45365 10.99739 16.16877 79.99101
13 313.06546 9.18472 20.10764 23.34024 130.72671 8.90438 16.64924 2.92938 34.94638 1.83880 64.43798
14 518.38526 44.31145 26.39751 0.40776 338.56715 29.98601 18.77643 4.86028 10.22063 13.71309 31.14495
15 336.31024 28.87155 4.93943 112.79409 48.23496 14.06166 36.58549 65.97531 0.39955 2.56897 21.87922
16 189.14344 1.94130 1.55856 42.99878 1.16931 9.99676 8.51366 30.98307 13.77019 62.96899 15.24283
17 636.56682 311.23443 5.27813 51.91987 171.67187 7.72962 20.75914 12.20719 30.02658 5.50030 20.23968
18 875.07131 4.50917 48.12104 71.73199 52.04292 90.22387 104.29901 32.86487 385.83667 13.25933 72.18245
19 559.51410 76.74738 7.16591 73.00718 76.38442 7.19138 38.87340 45.67117 138.20931 77.84399 18.41995
20 427.53677 6.56023 12.70156 12.44253 10.66375 17.21636 86.36491 147.68903 60.22005 57.64215 16.03620
21 569.64592 85.62096 86.75012 89.57956 43.97079 41.98715 18.70670 48.53055 96.68926 48.12800 9.68285
22 405.63601 9.52091 25.63036 2.11979 7.56974 51.78818 19.88720 60.50340 23.02789 176.32239 29.26616
23 127.67950 25.93515 0.54590 1.03028 30.64682 24.64477 2.12477 11.25459 18.87258 2.88055 9.74411
24 365.59280 27.09306 18.58097 76.42988 17.59792 15.51055 17.21663 6.52596 21.25160 158.29902 7.08720
25 404.96362 7.75661 5.90138 17.25677 2.90458 33.28846 12.70325 13.53346 44.22435 121.19133 146.20344
26 420.29761 202.73228 19.77382 2.59246 98.14316 9.92282 5.72087 35.01851 9.87257 23.78587 12.73526
27 174.28531 0.53037 10.03344 15.23382 5.78884 62.83245 26.21163 7.63916 28.43868 13.38289 4.19403
28 492.89898 38.90828 187.94044 49.49880 12.22129 5.38469 16.21551 155.36941 2.89156 10.43788 14.03111
29 233.74083 11.12137 10.77196 74.15926 9.97146 26.98313 11.72957 17.08418 15.20661 54.00450 2.70881
30 286.14582 58.20475 105.23923 8.44140 5.55142 9.53660 65.77066 21.63234 0.25548 7.78946 3.72449
31 176.31506 17.13895 6.05607 24.74139 4.57246 27.75188 2.51169 0.56313 64.18822 25.92309 2.86818
32 4069.62811 249.68600 11.98216 104.95548 20.69942 710.15744 16.08605 15.52055 10.08573 2929.23164 1.22361
33 272.76456 19.90425 9.91631 9.73037 11.04066 3.13531 28.11585 62.31795 15.15542 41.71044 71.73799
34 984.09356 18.73215 12.92003 87.46532 347.70167 21.27425 75.33696 12.90818 105.74751 2.56374 299.44375
35 611.05983 47.31220 2.15053 22.32236 294.07713 4.46544 33.28300 96.45385 69.68292 30.86703 10.44538
36 433.94590 22.97929 45.61878 25.17904 6.56291 45.22866 3.36467 7.79201 25.54735 9.42720 242.24600
37 2690.81349 18.03406 161.65132 4.84580 50.29027 34.81823 5.65363 11.53613 24.60363 26.58521 2352.79520
38 297.90335 1.43289 41.63542 36.90582 99.90747 2.92962 12.49881 34.35713 8.03195 3.34978 56.85445
39 148.35409 9.24202 41.84196 20.78887 14.36864 3.40462 1.50338 23.95710 4.04925 6.55768 22.64056
40 1841.40800 19.37741 239.30673 2.91081 1.92226 5.61317 790.79015 709.98492 35.70210 4.90361 30.89683
41 1147.91016 86.62113 3.59491 52.36538 21.49758 73.28823 126.97928 2.85488 697.52515 55.19682 27.98680
42 471.68976 53.36838 52.61947 73.24778 14.89033 101.62999 6.86881 0.83613 32.14279 27.93662 108.14947
43 238.32546 4.21037 86.35282 32.12595 5.48873 53.48501 3.43917 10.04655 8.00369 21.64978 13.52340
44 206.45867 22.53909 13.62147 54.71101 7.46898 26.56148 2.82312 23.99250 8.25318 14.26041 32.22743
45 146.67510 6.14771 18.97576 4.72130 23.99463 26.86124 6.78759 22.20255 21.38600 2.75286 12.84546
46 682.46677 110.00891 199.28504 1.77719 31.21039 14.58776 36.42290 138.32424 22.24251 66.40791 62.19993
47 1397.62165 27.97281 9.49573 1216.20269 45.12769 34.49084 1.46989 2.91146 25.27726 21.00868 13.66459
48 498.65920 42.89829 10.87160 74.19741 40.28009 19.21140 13.86594 218.40757 64.01491 4.89890 10.01308
49 750.03318 2.89360 87.47361 460.08632 2.85228 102.53620 57.51130 5.79085 1.70262 27.39647 1.78993
50 564.11009 85.08418 115.71576 12.78300 3.49695 34.92448 5.16324 85.03935 10.73914 200.57346 10.59052
51 428.38012 98.88541 7.62629 14.13583 7.12972 37.10523 28.10110 28.64840 107.28809 77.31234 22.14771
52 526.60868 59.97579 11.53922 14.75959 1.60447 179.01942 4.90595 165.13312 4.28888 41.32618 44.05606
53 818.12883 34.99009 91.89315 22.17490 198.02254 326.04704 23.30318 46.39724 23.28461 18.74797 33.26811
54 463.21638 20.24471 6.17179 29.75111 8.36275 217.76515 114.79766 6.49275 4.52579 22.31857 32.78610
55 154.85959 10.56165 29.71478 0.32069 10.22153 19.83835 18.58456 26.84464 7.26205 11.03983 20.47152
56 340.55358 40.93974 12.52920 3.49107 3.38087 34.60942 3.90386 161.63874 2.36301 71.01756 6.68011
57 663.69294 3.95595 4.16829 4.46729 9.34905 550.28724 53.07893 3.75792 11.02689 17.75967 5.84170
58 507.54156 24.59984 10.86755 174.31035 22.85193 33.79342 20.21324 32.78710 98.81076 36.84959 52.45778
59 461.99569 14.12279 26.29064 2.37143 182.26949 0.92070 114.87362 3.79800 0.39143 100.58239 16.37521
60 813.14073 28.83011 147.23329 16.86013 150.10090 44.07657 382.58498 6.21143 3.79537 22.24647 11.20148
61 1394.30762 37.70227 20.23432 11.68673 11.38270 58.86259 7.88018 8.55746 174.56265 54.42445 1009.01426
62 555.69898 104.16092 1.68804 170.26395 2.38931 4.80602 10.44926 116.02446 69.82963 11.89789 64.18951
63 692.31258 9.41030 10.42577 2.15520 8.26386 123.28400 5.43815 59.26977 337.97342 108.10492 27.98717
64 352.57601 20.89134 40.78467 4.77853 149.35426 22.83316 31.64091 1.73712 46.58055 29.16662 4.80885
65 222.03664 1.18544 13.77028 6.86133 50.66571 16.55410 21.34049 42.20717 27.99999 27.33026 14.12186
66 384.59073 6.99217 16.91266 2.70128 11.45977 19.62612 9.98083 290.98808 16.83141 3.63683 5.46158
67 715.22654 36.44437 1.39375 4.10645 428.42036 107.70977 2.43744 38.06985 77.25591 16.32309 3.06554
68 436.81134 147.87133 14.90425 25.62419 12.10140 49.37324 42.40041 1.92262 74.89316 38.09120 29.62954
69 635.32762 23.32595 126.36869 18.87004 2.65355 182.78909 210.05449 22.69999 9.06818 8.00936 31.48827
70 1074.67160 1.85022 15.16728 51.01497 44.32942 2.47291 12.10482 439.33119 476.72040 28.79247 2.88794
71 1650.09382 5.28361 34.18430 275.60528 967.34132 4.96965 4.93945 60.52343 253.01493 6.88321 37.34864
72 606.89455 22.53653 8.72862 7.96464 122.70088 244.28438 11.41789 19.38527 7.36976 147.41778 15.08880
73 345.89662 2.37066 90.65565 2.49842 28.91671 5.30180 4.85960 2.40367 128.97061 70.95812 8.96138
74 380.42601 13.30195 63.27782 23.45655 58.27910 91.48426 0.78002 3.86865 80.82731 1.40003 43.75033
75 382.50559 27.09385 44.77591 4.63260 134.57440 2.05911 38.83292 120.07330 5.77889 3.72066 0.96394
76 815.04697 99.52032 299.08629 265.37815 0.90447 13.69916 5.60316 62.56157 10.11966 2.06682 56.10736
77 727.11786 46.89000 7.28833 41.59045 42.07730 219.29980 93.75201 3.51153 106.58850 7.55248 158.56745
78 203.23990 12.26113 10.34048 1.40421 16.60591 18.78368 0.86056 19.97925 4.82699 11.69901 106.47867
79 681.94168 65.79158 212.05237 38.86504 77.83411 200.57508 0.26549 14.51421 15.42485 19.00172 37.61724
80 401.48628 194.83509 10.59963 14.23250 1.32515 26.29398 69.53781 14.77160 9.12012 31.57148 29.19892
81 833.37354 15.82229 80.71970 19.80072 52.08667 11.08827 34.13567 464.62804 122.04800 17.96304 15.08113
82 354.30646 147.09641 0.86283 5.63134 101.97860 5.98395 4.43285 45.83916 17.42669 19.75340 5.30122
83 661.70932 123.66686 74.94265 1.66243 282.82007 69.12314 3.38424 14.09382 10.31597 68.19269 13.50745
84 317.92075 5.88988 127.64147 3.85466 9.13621 3.71071 0.83866 46.92063 27.02692 85.37105 7.53055
85 581.00953 38.54967 102.92608 1.22073 330.45113 38.04194 32.92265 5.77476 6.26665 16.72408 8.13183
86 177.07452 6.51237 56.24998 48.18377 25.58953 3.10157 0.29050 11.07141 4.54253 2.41394 19.11893
87 360.00694 8.91977 1.40959 211.17941 31.86388 15.06989 2.59774 3.66397 14.34293 68.66379 2.29597
88 293.68177 38.98572 15.94884 8.64827 0.41441 99.23192 70.83090 21.22488 1.49333 36.01660 0.88690
89 162.76303 13.21779 9.86083 4.95625 3.63912 10.25815 2.90630 85.91858 6.87846 11.19991 13.92765
90 350.52527 142.11491 49.81366 13.03355 12.70823 2.46505 16.33905 17.35379 67.83285 11.05854 17.80564
91 538.88942 30.84500 304.42172 24.25751 4.61474 1.26814 17.90895 8.30570 27.06356 51.01205 69.19206
92 596.66006 16.83813 4.58861 34.83351 395.34061 9.99150 6.34791 36.04059 26.10601 55.76464 10.80855
93 201.76968 15.60106 46.54737 12.16393 16.07245 10.45394 11.06700 24.13548 28.53947 13.11645 24.07253
94 413.07941 2.00620 1.99199 2.06410 42.27677 18.84299 5.98708 21.46099 3.12262 51.18987 264.13681
95 1730.62532 130.66214 6.05159 59.22876 7.84798 4.91522 7.39131 6.29785 8.97804 1498.38753 0.86490
96 326.89493 13.20548 46.59985 0.91328 15.66300 2.24771 5.06174 5.77114 72.02275 153.20878 12.20119
97 146.21221 29.74381 4.02483 3.53267 20.88845 2.48436 21.77577 10.55682 43.46677 1.95533 7.78340
98 633.64015 39.81136 187.77689 9.99563 5.43532 185.68653 28.36292 0.65367 49.85049 7.27948 118.78785
99 320.88735 15.43963 99.76866 65.49489 18.43505 4.22751 11.13195 3.91252 92.33510 6.08465 4.05739
100 511.98544 19.71011 63.60729 23.12586 32.87362 324.18376 6.96911 9.71611 18.38899 1.64499 11.76560
575.16790139708769 844.98284262662128 494.77270934977037 556.6264139115292 843.75617030439037 764.55050857367178 428.96890956653556 104.29018860746582 150.73888073657741 387.25155038405745 441.33786372091998 260.60915483538304 313.06546303135406 518.38525904610128 336.31023745866941 189.14343762072764 636.56681645386391 875.07131088757058 559.51409862496382 427.53676683702167 569.64591896156492 405.63600686380516 127.67949697019684 365.59280422934955 404.96362233522177 420.29761291513381 174.2853052555615 492.89897637466925 233.74083167063111 286.14582012621509 176.31506331306699 4069.6281055655181 272.76455852138582 984.09355749448878 611.05983197630451 433.94590197371883 2690.8134911217435 297.90335018355046 148.35408624639118 1841.4079993633336 1147.9101556473638 471.68976033557072 238.32545859743448 206.45866752948302 146.67510388844357 682.46677405762932 1397.6216544917781 498.65919554245818 750.03318172480863 564.11009437742018 428.3801220411122 526.60867567841444 818.128829658104 463.216381105761 154.85959320059817 340.55357923114849 663.69294209986151 507.54155621144741 461.99568943132658 813.14073127342988 1394.3076235814178 555.69898281607709 692.31257962326595 352.57600879048692 222.03663975802408 384.59072879913572 715.22654391366973 436.81133717424132 635.32761860061964 1074.6716048635715 1650.093816648643 606.89454605900073 345.8966181379156 380.42600615875068 382.50558994042927 815.04696942538271 727.11786143343534 203.23989997165123 681.9416800167362 401.48627840254602 833.37353723014178 354.30646368794032 661.70931844976076 317.92075293516069 581.00952626744549 177.07451752966054 360.00693626243049 293.68176857100877 162.76303104655724 350.52527370933109 538.88942111758547 596.66006429365996 201.76968124211146 413.07940653944274 1730.625320797931 326.89492570871687 146.21220914456546 633.64015139758408 320.88734568942215 511.98543551047862