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Distribución Binomial: Tabla de probabilidades, Apuntes de Óptica

En este documento se presenta la tabla de probabilidades de la distribución binomial, donde se calculan las probabilidades de obtener cierta cantidad de éxitos en un número determinado de pruebas binomiales, con una probabilidad de éxito fija p y un número total de pruebas n.

Tipo: Apuntes

2013/2014

Subido el 21/04/2014

vladislav-babenco
vladislav-babenco 🇪🇸

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Distribuci´on Binomial P(X=k)=!n
k"pk(1 p)nksi k{0,1,2, . . . , n}
nk\p0!01 0!05 0!10 0!15 0!20 0!25 0!30 1/30
!35 0!40 0!45 0!49 0!50
20 0!9801 0!9025 0!8100 0!7225 0!6400 0!5625 0!4900 0!4444 0!4225 0!3600 0!3025 0!2601 0!2500
1 0!0198 0!0950 0!1800 0!2550 0!3200 0!3750 0!4200 0!4444 0!4550 0!4800 0!4950 0!4998 0!5000
2 0!0001 0!0025 0!0100 0!0225 0!0400 0!0625 0!0900 0!1111 0!1225 0!1600 0!2025 0!2401 0!2500
30 0!9703 0!8574 0!7290 0!6141 0!5120 0!4219 0!3430 0!2963 0!2746 0!2160 0!1664 0!1327 0!1250
1 0!0294 0!1354 0!2430 0!3251 0!3840 0!4219 0!4410 0!4444 0!4436 0!4320 0!4084 0!3823 0!3750
2 0!0003 0!0071 0!0270 0!0574 0!0960 0!1406 0!1890 0!2222 0!2389 0!2880 0!3341 0!3674 0!3750
3 0!0000 0!0001 0!0010 0!0034 0!0080 0!0156 0!0270 0!0370 0!0429 0!0640 0!0911 0!1176 0!1250
40 0!9606 0!8145 0!6561 0!5220 0!4096 0!3164 0!2401 0!1975 0!1785 0!1296 0!0915 0!0677 0!0625
1 0!0388 0!1715 0!2916 0!3685 0!4096 0!4219 0!4116 0!3951 0!3845 0!3456 0!2995 0!2600 0!2500
2 0!0006 0!0135 0!0486 0!0975 0!1536 0!2109 0!2646 0!2963 0!3105 0!3456 0!3675 0!3747 0!3750
3 0!0000 0!0005 0!0036 0!0115 0!0256 0!0469 0!0756 0!0988 0!1115 0!1536 0!2005 0!2400 0!2500
4 0!0000 0!0001 0!0005 0!0016 0!0039 0!0081 0!0123 0!0150 0!0256 0!0410 0!0576 0!0625
50 0!9510 0!7738 0!5905 0!4437 0!3277 0!2373 0!1681 0!1317 0!1160 0!0778 0!0503 0!0345 0!0313
1 0!0480 0!2036 0!3281 0!3915 0!4096 0!3955 0!3602 0!3292 0!3124 0!2592 0!2059 0!1657 0!1563
2 0!0010 0!0214 0!0729 0!1382 0!2048 0!2637 0!3087 0!3292 0!3364 0!3456 0!3369 0!3185 0!3125
3 0!0000 0!0011 0!0081 0!0244 0!0512 0!0879 0!1323 0!1646 0!1811 0!2304 0!2757 0!3060 0!3125
4 0!0000 0!0005 0!0022 0!0064 0!0146 0!0284 0!0412 0!0488 0!0768 0!1128 0!1470 0!1563
5 0!0000 0!0001 0!0003 0!0010 0!0024 0!0041 0!0053 0!0102 0!0185 0!0282 0!0313
60 0!9415 0!7351 0!5314 0!3771 0!2621 0!1780 0!1176 0!0878 0!0754 0!0467 0!0277 0!0176 0!0156
1 0!0571 0!2321 0!3543 0!3993 0!3932 0!3560 0!3025 0!2634 0!2437 0!1866 0!1359 0!1014 0!0938
2 0!0014 0!0305 0!0984 0!1762 0!2458 0!2966 0!3241 0!3292 0!3280 0!3110 0!2780 0!2436 0!2344
3 0!0000 0!0021 0!0146 0!0415 0!0819 0!1318 0!1852 0!2195 0!2355 0!2765 0!3032 0!3121 0!3125
4 0!0001 0!0012 0!0055 0!0154 0!0330 0!0595 0!0823 0!0951 0!1382 0!1861 0!2249 0!2344
5 0!0000 0!0001 0!0004 0!0015 0!0044 0!0102 0!0165 0!0205 0!0369 0!0609 0!0864 0!0938
6 0!0000 0!0001 0!0002 0!0007 0!0014 0!0018 0!0041 0!0083 0!0138 0!0156
70 0!9321 0!6983 0!4783 0!3206 0!2097 0!1335 0!0824 0!0585 0!0490 0!0280 0!0152 0!0090 0!0078
1 0!0659 0!2573 0!3720 0!3960 0!3670 0!3115 0!2471 0!2048 0!1848 0!1306 0!0872 0!0604 0!0547
2 0!0020 0!0406 0!1240 0!2097 0!2753 0!3115 0!3177 0!3073 0!2985 0!2613 0!2140 0!1740 0!1641
3 0!0000 0!0036 0!0230 0!0617 0!1147 0!1730 0!2269 0!2561 0!2679 0!2903 0!2918 0!2786 0!2734
4 0!0002 0!0026 0!0109 0!0287 0!0577 0!0972 0!1280 0!1442 0!1935 0!2388 0!2676 0!2734
5 0!0000 0!0002 0!0012 0!0043 0!0115 0!0250 0!0384 0!0466 0!0774 0!1172 0!1543 0!1641
6 0!0000 0!0001 0!0004 0!0013 0!0036 0!0064 0!0084 0!0172 0!0320 0!0494 0!0547
7 0!0000 0!0001 0!0002 0!0005 0!0006 0!0016 0!0037 0!0068 0!0078
80 0!9227 0!6634 0!4305 0!2725 0!1678 0!1001 0!0576 0!0390 0!0319 0!0168 0!0084 0!0046 0!0039
1 0!0746 0!2793 0!3826 0!3847 0!3355 0!2670 0!1977 0!1561 0!1373 0!0896 0!0548 0!0352 0!0313
2 0!0026 0!0515 0!1488 0!2376 0!2936 0!3115 0!2965 0!2731 0!2587 0!2090 0!1569 0!1183 0!1094
3 0!0001 0!0054 0!0331 0!0839 0!1468 0!2076 0!2541 0!2731 0!2786 0!2787 0!2568 0!2273 0!2188
4 0!0000 0!0004 0!0046 0!0185 0!0459 0!0865 0!1361 0!1707 0!1875 0!2322 0!2627 0!2730 0!2734
5 0!0000 0!0004 0!0026 0!0092 0!0231 0!0467 0!0683 0!0808 0!1239 0!1719 0!2098 0!2188
6 0!0000 0!0002 0!0011 0!0038 0!0100 0!0171 0!0217 0!0413 0!0703 0!1008 0!1094
7 0!0000 0!0001 0!0004 0!0012 0!0024 0!0033 0!0079 0!0164 0!0277 0!0313
8 0!0000 0!0001 0!0002 0!0002 0!0007 0!0017 0!0033 0!0039
90 0!9135 0!6302 0!3874 0!2316 0!1342 0!0751 0!0404 0!0260 0!0207 0!0101 0!0046 0!0023 0!0020
1 0!0830 0!2985 0!3874 0!3679 0!3020 0!2253 0!1556 0!1171 0!1004 0!0605 0!0339 0!0202 0!0176
2 0!0034 0!0629 0!1722 0!2597 0!3020 0!3003 0!2668 0!2341 0!2162 0!1612 0!1110 0!0776 0!0703
3 0!0001 0!0077 0!0446 0!1069 0!1762 0!2336 0!2668 0!2731 0!2716 0!2508 0!2119 0!1739 0!1641
4 0!0000 0!0006 0!0074 0!0283 0!0661 0!1168 0!1715 0!2048 0!2194 0!2508 0!2600 0!2506 0!2461
5 0!0000 0!0008 0!0050 0!0165 0!0389 0!0735 0!1024 0!1181 0!1672 0!2128 0!2408 0!2461
6 0!0001 0!0006 0!0028 0!0087 0!0210 0!0341 0!0424 0!0743 0!1160 0!1542 0!1641
7 0!0000 0!0003 0!0012 0!0039 0!0073 0!0098 0!0212 0!0407 0!0635 0!0703
8 0!0000 0!0001 0!0004 0!0009 0!0013 0!0035 0!0083 0!0153 0!0176
9 0!0000 0!0001 0!0001 0!0003 0!0008 0!0016 0!0020
10 0 0!9044 0!5987 0!3487 0!1969 0!1074 0!0563 0!0282 0!0173 0!0135 0!0060 0!0025 0!0012 0!0010
1 0!0914 0!3151 0!3874 0!3474 0!2684 0!1877 0!1211 0!0867 0!0725 0!0403 0!0207 0!0114 0!0098
2 0!0042 0!0746 0!1937 0!2759 0!3020 0!2816 0!2335 0!1951 0!1757 0!1209 0!0763 0!0494 0!0439
3 0!0001 0!0105 0!0574 0!1298 0!2013 0!2503 0!2668 0!2601 0!2522 0!2150 0!1665 0!1267 0!1172
4 0!0000 0!0010 0!0112 0!0401 0!0881 0!1460 0!2001 0!2276 0!2377 0!2508 0!2384 0!2130 0!2051
5 0!0001 0!0015 0!0085 0!0264 0!0584 0!1029 0!1366 0!1536 0!2007 0!2340 0!2456 0!2461
6 0!0000 0!0001 0!0012 0!0055 0!0162 0!0368 0!0569 0!0689 0!1115 0!1596 0!1966 0!2051
7 0!0000 0!0001 0!0008 0!0031 0!0090 0!0163 0!0212 0!0425 0!0746 0!1080 0!1172
8 0!0000 0!0001 0!0004 0!0014 0!0030 0!0043 0!0106 0!0229 0!0389 0!0439
9 0!0000 0!0001 0!0003 0!0005 0!0016 0!0042 0!0083 0!0098
10 0!0000 0!0001 0!0003 0!0008 0!0010
pf3
pf4
pf5

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Distribuci´on Binomial P (X = k) =

( n

k

P(Z! z 0 )

Tk

t!

P(Tk > t!) =!

fk 1 , k 2 ,!

  • n k \ p 0 ′^01 0 ′^05 0 ′^10 0 ′^15 0 ′^20 0 ′^25 0 ′^30 1 / 3 0 ′^35 0 ′^40 0 ′^45 0 ′^49 0 ′ p k (1 − p)n−k si k ∈ { 0 , 1 , 2 , , n}
  • 2 0 0 ′^9801 0 ′^9025 0 ′^8100 0 ′^7225 0 ′^6400 0 ′^5625 0 ′^4900 0 ′^4444 0 ′^4225 0 ′^3600 0 ′^3025 0 ′^2601 0 ′
    • 1 0 ′^0198 0 ′^0950 0 ′^1800 0 ′^2550 0 ′^3200 0 ′^3750 0 ′^4200 0 ′^4444 0 ′^4550 0 ′^4800 0 ′^4950 0 ′^4998 0 ′
    • 2 0 ′^0001 0 ′^0025 0 ′^0100 0 ′^0225 0 ′^0400 0 ′^0625 0 ′^0900 0 ′^1111 0 ′^1225 0 ′^1600 0 ′^2025 0 ′^2401 0 ′
  • 3 0 0 ′^9703 0 ′^8574 0 ′^7290 0 ′^6141 0 ′^5120 0 ′^4219 0 ′^3430 0 ′^2963 0 ′^2746 0 ′^2160 0 ′^1664 0 ′^1327 0 ′
    • 1 0 ′^0294 0 ′^1354 0 ′^2430 0 ′^3251 0 ′^3840 0 ′^4219 0 ′^4410 0 ′^4444 0 ′^4436 0 ′^4320 0 ′^4084 0 ′^3823 0 ′
    • 2 0 ′^0003 0 ′^0071 0 ′^0270 0 ′^0574 0 ′^0960 0 ′^1406 0 ′^1890 0 ′^2222 0 ′^2389 0 ′^2880 0 ′^3341 0 ′^3674 0 ′
    • 3 0 ′^0000 0 ′^0001 0 ′^0010 0 ′^0034 0 ′^0080 0 ′^0156 0 ′^0270 0 ′^0370 0 ′^0429 0 ′^0640 0 ′^0911 0 ′^1176 0 ′
  • 4 0 0 ′^9606 0 ′^8145 0 ′^6561 0 ′^5220 0 ′^4096 0 ′^3164 0 ′^2401 0 ′^1975 0 ′^1785 0 ′^1296 0 ′^0915 0 ′^0677 0 ′
    • 1 0 ′^0388 0 ′^1715 0 ′^2916 0 ′^3685 0 ′^4096 0 ′^4219 0 ′^4116 0 ′^3951 0 ′^3845 0 ′^3456 0 ′^2995 0 ′^2600 0 ′
    • 2 0 ′^0006 0 ′^0135 0 ′^0486 0 ′^0975 0 ′^1536 0 ′^2109 0 ′^2646 0 ′^2963 0 ′^3105 0 ′^3456 0 ′^3675 0 ′^3747 0 ′
    • 3 0 ′^0000 0 ′^0005 0 ′^0036 0 ′^0115 0 ′^0256 0 ′^0469 0 ′^0756 0 ′^0988 0 ′^1115 0 ′^1536 0 ′^2005 0 ′^2400 0 ′
    • 4 0 ′^0000 0 ′^0001 0 ′^0005 0 ′^0016 0 ′^0039 0 ′^0081 0 ′^0123 0 ′^0150 0 ′^0256 0 ′^0410 0 ′^0576 0 ′
  • 5 0 0 ′^9510 0 ′^7738 0 ′^5905 0 ′^4437 0 ′^3277 0 ′^2373 0 ′^1681 0 ′^1317 0 ′^1160 0 ′^0778 0 ′^0503 0 ′^0345 0 ′
    • 1 0 ′^0480 0 ′^2036 0 ′^3281 0 ′^3915 0 ′^4096 0 ′^3955 0 ′^3602 0 ′^3292 0 ′^3124 0 ′^2592 0 ′^2059 0 ′^1657 0 ′
    • 2 0 ′^0010 0 ′^0214 0 ′^0729 0 ′^1382 0 ′^2048 0 ′^2637 0 ′^3087 0 ′^3292 0 ′^3364 0 ′^3456 0 ′^3369 0 ′^3185 0 ′
    • 3 0 ′^0000 0 ′^0011 0 ′^0081 0 ′^0244 0 ′^0512 0 ′^0879 0 ′^1323 0 ′^1646 0 ′^1811 0 ′^2304 0 ′^2757 0 ′^3060 0 ′
    • 4 0 ′^0000 0 ′^0005 0 ′^0022 0 ′^0064 0 ′^0146 0 ′^0284 0 ′^0412 0 ′^0488 0 ′^0768 0 ′^1128 0 ′^1470 0 ′
    • 5 0 ′^0000 0 ′^0001 0 ′^0003 0 ′^0010 0 ′^0024 0 ′^0041 0 ′^0053 0 ′^0102 0 ′^0185 0 ′^0282 0 ′
  • 6 0 0 ′^9415 0 ′^7351 0 ′^5314 0 ′^3771 0 ′^2621 0 ′^1780 0 ′^1176 0 ′^0878 0 ′^0754 0 ′^0467 0 ′^0277 0 ′^0176 0 ′
    • 1 0 ′^0571 0 ′^2321 0 ′^3543 0 ′^3993 0 ′^3932 0 ′^3560 0 ′^3025 0 ′^2634 0 ′^2437 0 ′^1866 0 ′^1359 0 ′^1014 0 ′
    • 2 0 ′^0014 0 ′^0305 0 ′^0984 0 ′^1762 0 ′^2458 0 ′^2966 0 ′^3241 0 ′^3292 0 ′^3280 0 ′^3110 0 ′^2780 0 ′^2436 0 ′
    • 3 0 ′^0000 0 ′^0021 0 ′^0146 0 ′^0415 0 ′^0819 0 ′^1318 0 ′^1852 0 ′^2195 0 ′^2355 0 ′^2765 0 ′^3032 0 ′^3121 0 ′
    • 4 0 ′^0001 0 ′^0012 0 ′^0055 0 ′^0154 0 ′^0330 0 ′^0595 0 ′^0823 0 ′^0951 0 ′^1382 0 ′^1861 0 ′^2249 0 ′
    • 5 0 ′^0000 0 ′^0001 0 ′^0004 0 ′^0015 0 ′^0044 0 ′^0102 0 ′^0165 0 ′^0205 0 ′^0369 0 ′^0609 0 ′^0864 0 ′
    • 6 0 ′^0000 0 ′^0001 0 ′^0002 0 ′^0007 0 ′^0014 0 ′^0018 0 ′^0041 0 ′^0083 0 ′^0138 0 ′
  • 7 0 0 ′^9321 0 ′^6983 0 ′^4783 0 ′^3206 0 ′^2097 0 ′^1335 0 ′^0824 0 ′^0585 0 ′^0490 0 ′^0280 0 ′^0152 0 ′^0090 0 ′
    • 1 0 ′^0659 0 ′^2573 0 ′^3720 0 ′^3960 0 ′^3670 0 ′^3115 0 ′^2471 0 ′^2048 0 ′^1848 0 ′^1306 0 ′^0872 0 ′^0604 0 ′
    • 2 0 ′^0020 0 ′^0406 0 ′^1240 0 ′^2097 0 ′^2753 0 ′^3115 0 ′^3177 0 ′^3073 0 ′^2985 0 ′^2613 0 ′^2140 0 ′^1740 0 ′
    • 3 0 ′^0000 0 ′^0036 0 ′^0230 0 ′^0617 0 ′^1147 0 ′^1730 0 ′^2269 0 ′^2561 0 ′^2679 0 ′^2903 0 ′^2918 0 ′^2786 0 ′
    • 4 0 ′^0002 0 ′^0026 0 ′^0109 0 ′^0287 0 ′^0577 0 ′^0972 0 ′^1280 0 ′^1442 0 ′^1935 0 ′^2388 0 ′^2676 0 ′
    • 5 0 ′^0000 0 ′^0002 0 ′^0012 0 ′^0043 0 ′^0115 0 ′^0250 0 ′^0384 0 ′^0466 0 ′^0774 0 ′^1172 0 ′^1543 0 ′
    • 6 0 ′^0000 0 ′^0001 0 ′^0004 0 ′^0013 0 ′^0036 0 ′^0064 0 ′^0084 0 ′^0172 0 ′^0320 0 ′^0494 0 ′
    • 7 0 ′^0000 0 ′^0001 0 ′^0002 0 ′^0005 0 ′^0006 0 ′^0016 0 ′^0037 0 ′^0068 0 ′
  • 8 0 0 ′^9227 0 ′^6634 0 ′^4305 0 ′^2725 0 ′^1678 0 ′^1001 0 ′^0576 0 ′^0390 0 ′^0319 0 ′^0168 0 ′^0084 0 ′^0046 0 ′
    • 1 0 ′^0746 0 ′^2793 0 ′^3826 0 ′^3847 0 ′^3355 0 ′^2670 0 ′^1977 0 ′^1561 0 ′^1373 0 ′^0896 0 ′^0548 0 ′^0352 0 ′
    • 2 0 ′^0026 0 ′^0515 0 ′^1488 0 ′^2376 0 ′^2936 0 ′^3115 0 ′^2965 0 ′^2731 0 ′^2587 0 ′^2090 0 ′^1569 0 ′^1183 0 ′
    • 3 0 ′^0001 0 ′^0054 0 ′^0331 0 ′^0839 0 ′^1468 0 ′^2076 0 ′^2541 0 ′^2731 0 ′^2786 0 ′^2787 0 ′^2568 0 ′^2273 0 ′
    • 4 0 ′^0000 0 ′^0004 0 ′^0046 0 ′^0185 0 ′^0459 0 ′^0865 0 ′^1361 0 ′^1707 0 ′^1875 0 ′^2322 0 ′^2627 0 ′^2730 0 ′
    • 5 0 ′^0000 0 ′^0004 0 ′^0026 0 ′^0092 0 ′^0231 0 ′^0467 0 ′^0683 0 ′^0808 0 ′^1239 0 ′^1719 0 ′^2098 0 ′
    • 6 0 ′^0000 0 ′^0002 0 ′^0011 0 ′^0038 0 ′^0100 0 ′^0171 0 ′^0217 0 ′^0413 0 ′^0703 0 ′^1008 0 ′
    • 7 0 ′^0000 0 ′^0001 0 ′^0004 0 ′^0012 0 ′^0024 0 ′^0033 0 ′^0079 0 ′^0164 0 ′^0277 0 ′
    • 8 0 ′^0000 0 ′^0001 0 ′^0002 0 ′^0002 0 ′^0007 0 ′^0017 0 ′^0033 0 ′
  • 9 0 0 ′^9135 0 ′^6302 0 ′^3874 0 ′^2316 0 ′^1342 0 ′^0751 0 ′^0404 0 ′^0260 0 ′^0207 0 ′^0101 0 ′^0046 0 ′^0023 0 ′
    • 1 0 ′^0830 0 ′^2985 0 ′^3874 0 ′^3679 0 ′^3020 0 ′^2253 0 ′^1556 0 ′^1171 0 ′^1004 0 ′^0605 0 ′^0339 0 ′^0202 0 ′
    • 2 0 ′^0034 0 ′^0629 0 ′^1722 0 ′^2597 0 ′^3020 0 ′^3003 0 ′^2668 0 ′^2341 0 ′^2162 0 ′^1612 0 ′^1110 0 ′^0776 0 ′
    • 3 0 ′^0001 0 ′^0077 0 ′^0446 0 ′^1069 0 ′^1762 0 ′^2336 0 ′^2668 0 ′^2731 0 ′^2716 0 ′^2508 0 ′^2119 0 ′^1739 0 ′
    • 4 0 ′^0000 0 ′^0006 0 ′^0074 0 ′^0283 0 ′^0661 0 ′^1168 0 ′^1715 0 ′^2048 0 ′^2194 0 ′^2508 0 ′^2600 0 ′^2506 0 ′
    • 5 0 ′^0000 0 ′^0008 0 ′^0050 0 ′^0165 0 ′^0389 0 ′^0735 0 ′^1024 0 ′^1181 0 ′^1672 0 ′^2128 0 ′^2408 0 ′
    • 6 0 ′^0001 0 ′^0006 0 ′^0028 0 ′^0087 0 ′^0210 0 ′^0341 0 ′^0424 0 ′^0743 0 ′^1160 0 ′^1542 0 ′
    • 7 0 ′^0000 0 ′^0003 0 ′^0012 0 ′^0039 0 ′^0073 0 ′^0098 0 ′^0212 0 ′^0407 0 ′^0635 0 ′
    • 8 0 ′^0000 0 ′^0001 0 ′^0004 0 ′^0009 0 ′^0013 0 ′^0035 0 ′^0083 0 ′^0153 0 ′
    • 9 0 ′^0000 0 ′^0001 0 ′^0001 0 ′^0003 0 ′^0008 0 ′^0016 0 ′
  • 10 0 0 ′^9044 0 ′^5987 0 ′^3487 0 ′^1969 0 ′^1074 0 ′^0563 0 ′^0282 0 ′^0173 0 ′^0135 0 ′^0060 0 ′^0025 0 ′^0012 0 ′
    • 1 0 ′^0914 0 ′^3151 0 ′^3874 0 ′^3474 0 ′^2684 0 ′^1877 0 ′^1211 0 ′^0867 0 ′^0725 0 ′^0403 0 ′^0207 0 ′^0114 0 ′
    • 2 0 ′^0042 0 ′^0746 0 ′^1937 0 ′^2759 0 ′^3020 0 ′^2816 0 ′^2335 0 ′^1951 0 ′^1757 0 ′^1209 0 ′^0763 0 ′^0494 0 ′
    • 3 0 ′^0001 0 ′^0105 0 ′^0574 0 ′^1298 0 ′^2013 0 ′^2503 0 ′^2668 0 ′^2601 0 ′^2522 0 ′^2150 0 ′^1665 0 ′^1267 0 ′
    • 4 0 ′^0000 0 ′^0010 0 ′^0112 0 ′^0401 0 ′^0881 0 ′^1460 0 ′^2001 0 ′^2276 0 ′^2377 0 ′^2508 0 ′^2384 0 ′^2130 0 ′
    • 5 0 ′^0001 0 ′^0015 0 ′^0085 0 ′^0264 0 ′^0584 0 ′^1029 0 ′^1366 0 ′^1536 0 ′^2007 0 ′^2340 0 ′^2456 0 ′
    • 6 0 ′^0000 0 ′^0001 0 ′^0012 0 ′^0055 0 ′^0162 0 ′^0368 0 ′^0569 0 ′^0689 0 ′^1115 0 ′^1596 0 ′^1966 0 ′
    • 7 0 ′^0000 0 ′^0001 0 ′^0008 0 ′^0031 0 ′^0090 0 ′^0163 0 ′^0212 0 ′^0425 0 ′^0746 0 ′^1080 0 ′
    • 8 0 ′^0000 0 ′^0001 0 ′^0004 0 ′^0014 0 ′^0030 0 ′^0043 0 ′^0106 0 ′^0229 0 ′^0389 0 ′
    • 9 0 ′^0000 0 ′^0001 0 ′^0003 0 ′^0005 0 ′^0016 0 ′^0042 0 ′^0083 0 ′
    • 10 0 ′^0000 0 ′^0001 0 ′^0003 0 ′^0008 0 ′
      • z
    • z 0 0’00 0’01 0’02 0’03 0’04 0’05 0’06 0’07 0’08 0’ Distribución normal estándar N(0,1)
  • 0’0 0’5000 0’5040 0’5080 0’5120 0’5160 0’5199 0’5239 0’5279 0’5319 0’
  • 0’1 0’5398 0’5438 0’5478 0’5517 0’5557 0’5596 0’5636 0’5675 0’5714 0’
  • 0’2 0’5793 0’5832 0’5871 0’5910 0’5948 0’5987 0’6026 0’6064 0’6103 0’
  • 0’3 0’6179 0’6217 0’6255 0’6293 0’6331 0’6368 0’6406 0’6443 0’6480 0’
  • 0’4 0’6554 0’6591 0’6628 0’6664 0’6700 0’6736 0’6772 0’6808 0’6844 0’
  • 0’5 0’6915 0’6950 0’6985 0’7019 0’7054 0’7088 0’7123 0’7157 0’7190 0’
  • 0’6 0’7257 0’7291 0’7324 0’7357 0’7389 0’7422 0’7454 0’7486 0’7517 0’
  • 0’7 0’7580 0’7611 0’7642 0’7673 0’7704 0’7734 0’7764 0’7794 0’7823 0’
  • 0’8 0’7881 0’7910 0’7939 0’7967 0’7995 0’8023 0’8051 0’8078 0’8106 0’
  • 0’9 0’8159 0’8186 0’8212 0’8238 0’8264 0’8289 0’8315 0’8340 0’8365 0’
  • 1’0 0’8413 0’8438 0’8461 0’8485 0’8508 0’8531 0’8554 0’8577 0’8599 0’
  • 1’1 0’8643 0’8665 0’8686 0’8708 0’8729 0’8749 0’8770 0’8790 0’8810 0’
  • 1’2 0’8849 0’8869 0’8888 0’8907 0’8925 0’8944 0’8962 0’8980 0’8997 0’
  • 1’3 0’90320 0’90490 0’90658 0’90824 0’90988 0’91149 0’91308 0’91466 0’91621 0’
  • 1’4 0’91924 0’92073 0’92220 0’92364 0’92507 0’92647 0’92785 0’92922 0’93056 0’
  • 1’5 0’93319 0’93448 0’93574 0’93699 0’93822 0’93943 0’94062 0’94179 0’94295 0’
  • 1’6 0’94520 0’94630 0’94738 0’94845 0’94950 0’95053 0’95154 0’95254 0’95352 0’
  • 1’7 0’95543 0’95637 0’95728 0’95818 0’95907 0’95994 0’96080 0’96164 0’96246 0’
  • 1’8 0’96407 0’96485 0’96562 0’96638 0’96712 0’96784 0’96856 0’96926 0’96995 0’
  • 1’9 0’97128 0’97193 0’97257 0’97320 0’97381 0’97441 0’97500 0’97558 0’97615 0’
  • 2’0 0’97725 0’97778 0’97831 0’97882 0’97932 0’97982 0’98030 0’98077 0’98124 0’
  • 2’1 0’98214 0’98257 0’98300 0’98341 0’98382 0’98422 0’98461 0’98500 0’98537 0’
  • 2’2 0’98610 0’98645 0’98679 0’98713 0’98745 0’98778 0’98809 0’98840 0’98870 0’
  • 2’3 0’98928 0’98956 0’98983 0’9 2 0097 0’9 2 0358 0’9 2 0613 0’9 2 0863 0’9 2 1106 0’9 2 1344 0’9
  • 2’4 0’9 2 1802 0’9 2 2024 0’9 2 2240 0’9 2 2451 0’9 2 2656 0’9 2 2857 0’9 2 3053 0’9 2 3244 0’9 2 3431 0’9
  • 2’5 0’9 2 3790 0’9 2 3963 0’9 2 4132 0’9 2 4297 0’9 2 4457 0’9 2 4614 0’9 2 4766 0’9 2 4915 0’9 2 5060 0’9
  • 2’6 0’9 2 5339 0’9 2 5473 0’9 2 5603 0’9 2 5731 0’9 2 5855 0’9 2 5975 0’9 2 6093 0’9 2 6207 0’9 2 6319 0’9
  • 2’7 0’9 2 6533 0’9 2 6636 0’9 2 6736 0’9 2 6833 0’9 2 6928 0’9 2 7020 0’9 2 7110 0’9 2 7197 0’9 2 7282 0’9
  • 2’8 0’9 2 7445 0’9 2 7523 0’9 2 7599 0’9 2 7673 0’9 2 7744 0’9 2 7814 0’9 2 7882 0’9 2 7948 0’9 2 8012 0’9
  • 2’9 0’9 2 8134 0’9 2 8193 0’9 2 8250 0’9 2 8305 0’9 2 8359 0’9 2 8411 0’9 2 8462 0’9 2 8511 0’9 2 8559 0’9
  • 3’0 0’9 2 8650 0’9 2 8694 0’9 2 8736 0’9 2 8777 0’9 2 8817 0’9 2 8856 0’9 2 8893 0’9 2 8930 0’9 2 8965 0’9
  • 3’1 0’9 3 0323 0’9 3 0645 0’9 3 0957 0’9 3 1259 0’9 3 1552 0’9 3 1836 0’9 3 2111 0’9 3 2377 0’9 3 2636 0’9
  • 3’2 0’9 3 3128 0’9 3 3363 0’9 3 3590 0’9 3 3810 0’9 3 4023 0’9 3 4229 0’9 3 4429 0’9 3 4622 0’9 3 4809 0’9
  • 3’3 0’9 3 5165 0’9 3 5335 0’9 3 5499 0’9 3 5657 0’9 3 5811 0’9 3 5959 0’9 3 6102 0’9 3 6241 0’9 3 6375 0’9
  • 3’4 0’9 3 6630 0’9 3 6751 0’9 3 6868 0’9 3 6982 0’9 3 7091 0’9 3 7197 0’9 3 7299 0’9 3 7397 0’9 3 7492 0’9
  • 3’5 0’9 3 7673 0’9 3 7759 0’9 3 7842 0’9 3 7922 0’9 3 7999 0’9 3 8073 0’9 3 8145 0’9 3 8215 0’9 3 8282 0’9
  • 3’6 0’9 3 8409 0’9 3 8469 0’9 3 8527 0’9 3 8583 0’9 3 8636 0’9 3 8688 0’9 3 8739 0’9 3 8787 0’9 3 8834 0’9
  • 3’7 0’9 3 8922 0’9 3 8963 0’9 4 0036 0’9 4 0423 0’9 4 0796 0’9 4 1156 0’9 4 1502 0’9 4 1835 0’9 4 2156 0’9
  • 3’8 0’9 4 2763 0’9 4 3049 0’9 4 3325 0’9 4 3591 0’9 4 3846 0’9 4 4092 0’9 4 4329 0’9 4 4556 0’9 4 4775 0’9
  • 3’9 0’9 4 5188 0’9 4 5383 0’9 4 5571 0’9 4 5751 0’9 4 5924 0’9 4 6091 0’9 4 6251 0’9 4 6405 0’9 4 6553 0’9
  • 4’0 0’9 4 6831 0’9 4 6963 0’9 4 7089 0’9 4 7210 0’9 4 7326 0’9 4 7438 0’9 4 7545 0’9 4 7648 0’9 4 7747 0’9 - k χ 0 ′ 995 χ 0 ′ 99 χ 0 ′ 975 χ 0 ′ 95 χ 0 ′ 90 χ 0 ′ 75 χ 0 ′ 50 χ 0 ′ 25 χ 0 ′ 10 χ 0 ′ 05 χ 0 ′ 025 χ 0 ′ 01 χ 0 ′ Distribución ji-cuadrado - 1 0’0000 0’0002 0’0010 0’0039 0’0158 0’102 0’455 1’32 2’71 3’84 5’02 6’63 7’ - 2 0’0100 0’0201 0’0506 0’103 0’211 0’575 1’39 2’77 4’61 5’99 7’38 9’21 10’ - 3 0’072 0’115 0’216 0’352 0’584 1’21 2’37 4’11 6’25 7’81 9’35 11’3 12’ - 4 0’207 0’297 0’484 0’711 1’06 1’92 3’36 5’39 7’78 9’49 11’1 13’3 14’ - 5 0’412 0’554 0’831 1’15 1’61 2’67 4’35 6’63 9’24 11’1 12’8 15’1 16’ - 6 0’676 0’872 1’24 1’64 2’20 3’45 5’35 7’84 10’6 12’6 14’4 16’8 18’ - 7 0’989 1’24 1’69 2’17 2’83 4’25 6’35 9’04 12’0 14’1 16’0 18’5 20’ - 8 1’34 1’65 2’18 2’73 3’49 5’07 7’34 10’2 13’4 15’5 17’5 20’1 22’ - 9 1’73 2’09 2’70 3’33 4’17 5’90 8’34 11’4 14’7 16’9 19’0 21’7 23’
    • 10 2’16 2’56 3’25 3’94 4’87 6’74 9’34 12’5 16’0 18’3 20’5 23’2 25’
    • 11 2’60 3’05 3’82 4’57 5’58 7’58 10’3 13’7 17’3 19’7 21’9 24’7 26’
    • 12 3’07 3’57 4’40 5’23 6’30 8’44 11’3 14’8 18’5 21’0 23’3 26’2 28’
    • 13 3’57 4’11 5’01 5’89 7’04 9’30 12’3 16’0 19’8 22’4 24’7 27’7 29’
    • 14 4’07 4’66 5’63 6’57 7’79 10’2 13’3 17’1 21’1 23’7 26’1 29’1 31’
    • 15 4’60 5’23 6’26 7’26 8’55 11’0 14’3 18’2 22’3 25’0 27’5 30’6 32’
    • 16 5’14 5’81 6’91 7’96 9’31 11’9 15’3 19’4 23’5 26’3 28’8 32’0 34’
    • 17 5’70 6’41 7’56 8’67 10’1 12’8 16’3 20’5 24’8 27’6 30’2 33’4 35’
    • 18 6’26 7’01 8’23 9’39 10’9 13’7 17’3 21’6 26’0 28’9 31’5 34’8 37’
    • 19 6’84 7’63 8’91 10’1 11’7 14’6 18’3 22’7 27’2 30’1 32’9 36’2 38’
    • 20 7’43 8’26 9’59 10’9 12’4 15’5 19’3 23’8 28’4 31’4 34’2 37’6 40’
    • 21 8’03 8’90 10’3 11’6 13’2 16’3 20’3 24’9 29’6 32’7 35’5 38’9 41’
    • 22 8’64 9’54 11’0 12’3 14’0 17’2 21’3 26’0 30’8 33’9 36’8 40’3 42’
    • 23 9’26 10’2 11’7 13’1 14’8 18’1 22’3 27’1 32’0 35’2 38’1 41’6 44’
    • 24 9’89 10’9 12’4 13’8 15’7 19’0 23’3 28’2 33’2 36’4 39’4 43’0 45’
    • 25 10’5 11’5 13’1 14’6 16’5 19’9 24’3 29’3 34’4 37’7 40’6 44’3 46’
    • 26 11’2 12’2 13’8 15’4 17’3 20’8 25’3 30’4 35’6 38’9 41’9 45’6 48’
    • 27 11’8 12’9 14’6 16’2 18’1 21’7 26’3 31’5 36’7 40’1 43’2 47’0 49’
    • 28 12’5 13’6 15’3 16’9 18’9 22’7 27’3 32’6 37’9 41’3 44’5 48’3 51’
    • 29 13’1 14’3 16’0 17’7 19’8 23’6 28’3 33’7 39’1 42’6 45’7 49’6 52’
    • 30 13’8 15’0 16’8 18’5 20’6 24’5 29’3 34’8 40’3 43’8 47’0 50’9 53’
    • 40 20’7 22’2 24’4 26’5 29’1 33’7 39’3 45’6 51’8 55’8 59’3 63’7 66’
    • 50 28’0 29’7 32’4 34’8 37’7 42’9 49’3 56’3 63’2 67’5 71’4 76’2 79’
    • 60 35’5 37’5 40’5 43’2 46’5 52’3 59’3 67’0 74’4 79’1 83’3 88’4 92’
    • 70 43’3 45’4 48’8 51’7 55’3 61’7 69’3 77’6 85’5 90’5 95’0 100’4 104’
    • 80 51’2 53’5 57’2 60’4 64’3 71’1 79’3 88’1 96’6 101’9 106’6 112’3 116’
    • 90 59’2 61’8 65’6 69’1 73’3 80’6 89’3 98’6 107’6 113’1 118’1 124’1 128’
  • 100 67’3 70’1 74’2 77’9 82’4 90’1 99’3 109’1 118’5 124’3 129’6 135’8 140’ - k t 0 ′ 45 t 0 ′ 4 t 0 ′ 3 t 0 ′ 25 t 0 ′ 2 t 0 ′ 1 t 0 ′ 05 t 0 ′ 025 t 0 ′ 01 t 0 ′ Distribución T de Student - 1 0’158 0’325 0’727 1’000 1’376 3’08 6’31 12’71 31’82 63’ - 2 0’142 0’289 0’617 0’816 1’061 1’89 2’92 4’30 6’96 9’ - 3 0’137 0’277 0’584 0’765 0’978 1’64 2’35 3’18 4’54 5’ - 4 0’134 0’271 0’569 0’741 0’941 1’53 2’13 2’78 3’75 4’ - 5 0’132 0’267 0’559 0’727 0’920 1’48 2’02 2’57 3’36 4’ - 6 0’131 0’265 0’553 0’718 0’906 1’44 1’94 2’45 3’14 3’ - 7 0’130 0’263 0’549 0’711 0’896 1’41 1’89 2’36 3’00 3’ - 8 0’130 0’262 0’546 0’706 0’889 1’40 1’86 2’31 2’90 3’ - 9 0’129 0’261 0’543 0’703 0’883 1’38 1’83 2’26 2’82 3’ - 10 0’129 0’260 0’542 0’700 0’879 1’37 1’81 2’23 2’76 3’ - 11 0’129 0’260 0’540 0’697 0’876 1’36 1’80 2’20 2’72 3’ - 12 0’128 0’259 0’539 0’695 0’873 1’36 1’78 2’18 2’68 3’ - 13 0’128 0’259 0’538 0’694 0’870 1’35 1’77 2’16 2’65 3’ - 14 0’128 0’258 0’537 0’692 0’868 1’35 1’76 2’14 2’62 2’ - 15 0’128 0’258 0’536 0’691 0’866 1’34 1’75 2’13 2’60 2’ - 16 0’128 0’258 0’535 0’690 0’865 1’34 1’75 2’12 2’58 2’ - 17 0’128 0’257 0’534 0’689 0’863 1’33 1’74 2’11 2’57 2’ - 18 0’127 0’257 0’534 0’688 0’862 1’33 1’73 2’10 2’55 2’ - 19 0’127 0’257 0’533 0’688 0’861 1’33 1’73 2’09 2’54 2’ - 20 0’127 0’257 0’533 0’687 0’860 1’33 1’72 2’09 2’53 2’ - 21 0’127 0’257 0’532 0’686 0’859 1’32 1’72 2’08 2’52 2’ - 22 0’127 0’256 0’532 0’686 0’858 1’32 1’72 2’07 2’51 2’ - 23 0’127 0’256 0’532 0’685 0’858 1’32 1’71 2’07 2’50 2’ - 24 0’127 0’256 0’531 0’685 0’857 1’32 1’71 2’06 2’49 2’ - 25 0’127 0’256 0’531 0’684 0’856 1’32 1’71 2’06 2’49 2’ - 26 0’127 0’256 0’531 0’684 0’856 1’31 1’71 2’06 2’48 2’ - 27 0’127 0’256 0’531 0’684 0’855 1’31 1’70 2’05 2’47 2’ - 28 0’127 0’256 0’530 0’683 0’855 1’31 1’70 2’05 2’47 2’ - 29 0’127 0’256 0’530 0’683 0’854 1’31 1’70 2’05 2’46 2’ - 30 0’127 0’256 0’530 0’683 0’854 1’31 1’70 2’04 2’46 2’ - 40 0’126 0’255 0’529 0’681 0’851 1’30 1’68 2’02 2’42 2’ - 50 0’126 0’255 0’528 0’679 0’849 1’30 1’68 2’01 2’40 2’ - 60 0’126 0’254 0’527 0’679 0’848 1’30 1’67 2’00 2’39 2’ - 70 0’126 0’254 0’527 0’678 0’847 1’29 1’67 1’99 2’38 2’ - 80 0’126 0’254 0’526 0’678 0’846 1’29 1’66 1’99 2’37 2’ - 90 0’126 0’254 0’526 0’677 0’846 1’29 1’66 1’99 2’37 2’ - 100 0’126 0’254 0’526 0’677 0’845 1’29 1’66 1’98 2’36 2’ - 500 0’126 0’253 0’525 0’675 0’842 1’28 1’65 1’96 2’33 2’
    • 1000 0’126 0’253 0’525 0’675 0’842 1’28 1’65 1’96 2’33 2’
  • N (0, 1) 0’126 0’253 0’524 0’674 0’842 1’282 1’645 1’960 2’326 2’ - Fk 1 , k P(Fk 1 , k 2 > fk 1 , k 2 , !) =!
  • α = 0 ′ Distribución F de Snédecor - 1 161.4 18.51 10.13 7.71 6.61 5.99 5.59 5.32 5.12 4.96 4.84 4.75 4.60 4.35 4.03 3.94 3. k 1 \ k 2 1 2 3 4 5 6 7 8 9 10 11 12 14 20 50 100 ∞ - 2 199.5 19.00 9.55 6.94 5.79 5.14 4.74 4.46 4.26 4.10 3.98 3.89 3.74 3.49 3.18 3.09 3. - 3 215.7 19.16 9.28 6.59 5.41 4.76 4.35 4.07 3.86 3.71 3.59 3.49 3.34 3.10 2.79 2.70 2. - 4 224.6 19.25 9.12 6.39 5.19 4.53 4.12 3.84 3.63 3.48 3.36 3.26 3.11 2.87 2.56 2.46 2. - 5 230.2 19.30 9.01 6.26 5.05 4.39 3.97 3.69 3.48 3.33 3.20 3.11 2.96 2.71 2.40 2.31 2. - 6 234.0 19.33 8.94 6.16 4.95 4.28 3.87 3.58 3.37 3.22 3.09 3.00 2.85 2.60 2.29 2.19 2. - 7 236.8 19.35 8.89 6.09 4.88 4.21 3.79 3.50 3.29 3.14 3.01 2.91 2.76 2.51 2.20 2.10 2. - 8 238.9 19.37 8.85 6.04 4.82 4.15 3.73 3.44 3.23 3.07 2.95 2.85 2.70 2.45 2.13 2.03 1. - 9 240.5 19.38 8.81 6.00 4.77 4.10 3.68 3.39 3.18 3.02 2.90 2.80 2.65 2.39 2.07 1.97 1. - 10 241.9 19.40 8.79 5.96 4.74 4.06 3.64 3.35 3.14 2.98 2.85 2.75 2.60 2.35 2.03 1.93 1. - 11 243.0 19.40 8.76 5.94 4.70 4.03 3.60 3.31 3.10 2.94 2.82 2.72 2.57 2.31 1.99 1.89 1. - 12 243.9 19.41 8.74 5.91 4.68 4.00 3.57 3.28 3.07 2.91 2.79 2.69 2.53 2.28 1.95 1.85 1. - 14 245.4 19.42 8.71 5.87 4.64 3.96 3.53 3.24 3.03 2.86 2.74 2.64 2.48 2.22 1.89 1.79 1. - 20 248.0 19.45 8.66 5.80 4.56 3.87 3.44 3.15 2.94 2.77 2.65 2.54 2.39 2.12 1.78 1.68 1. - 50 251.8 19.48 8.58 5.70 4.44 3.75 3.32 3.02 2.80 2.64 2.51 2.40 2.24 1.97 1.60 1.48 1. - 100 253.0 19.49 8.55 5.66 4.41 3.71 3.27 2.97 2.76 2.59 2.46 2.35 2.19 1.91 1.52 1.39 1. - ∞ 254.3 19.50 8.53 5.63 4.36 3.67 3.23 2.93 2.71 2.54 2.40 2.30 2.13 1.84 1.44 1.
    • α = 0 ′ - 1 647.8 38.5 17.4 12.2 10.01 8.81 8.07 7.57 7.21 6.94 6.72 6.55 6.30 5.87 5.34 5.18 5. k 1 \ k 2 1 2 3 4 5 6 7 8 9 10 11 12 14 20 50 100 ∞ - 2 799.5 39.0 16.0 10.6 8.43 7.26 6.54 6.06 5.71 5.46 5.26 5.10 4.86 4.46 3.97 3.83 3. - 3 864.2 39.2 15.4 10.0 7.76 6.60 5.89 5.42 5.08 4.83 4.63 4.47 4.24 3.86 3.39 3.25 3. - 4 899.6 39.2 15.1 9.6 7.39 6.23 5.52 5.05 4.72 4.47 4.28 4.12 3.89 3.51 3.05 2.92 2. - 5 921.8 39.3 14.9 9.4 7.15 5.99 5.29 4.82 4.48 4.24 4.04 3.89 3.66 3.29 2.83 2.70 2. - 6 937.1 39.3 14.7 9.2 6.98 5.82 5.12 4.65 4.32 4.07 3.88 3.73 3.50 3.13 2.67 2.54 2. - 7 948.2 39.4 14.6 9.1 6.85 5.70 4.99 4.53 4.20 3.95 3.76 3.61 3.38 3.01 2.55 2.42 2. - 8 956.7 39.4 14.5 9.0 6.76 5.60 4.90 4.43 4.10 3.85 3.66 3.51 3.29 2.91 2.46 2.32 2. - 9 963.3 39.4 14.5 8.9 6.68 5.52 4.82 4.36 4.03 3.78 3.59 3.44 3.21 2.84 2.38 2.24 2. - 10 968.6 39.4 14.4 8.8 6.62 5.46 4.76 4.30 3.96 3.72 3.53 3.37 3.15 2.77 2.32 2.18 2. - 11 973.0 39.4 14.4 8.8 6.57 5.41 4.71 4.24 3.91 3.66 3.47 3.32 3.09 2.72 2.26 2.12 1. - 12 976.7 39.4 14.3 8.8 6.52 5.37 4.67 4.20 3.87 3.62 3.43 3.28 3.05 2.68 2.22 2.08 1. - 14 982.5 39.4 14.3 8.7 6.46 5.30 4.60 4.13 3.80 3.55 3.36 3.21 2.98 2.60 2.14 2.00 1. - 20 993.1 39.4 14.2 8.6 6.33 5.17 4.47 4.00 3.67 3.42 3.23 3.07 2.84 2.46 1.99 1.85 1. - 50 1008.1 39.5 14.0 8.4 6.14 4.98 4.28 3.81 3.47 3.22 3.03 2.87 2.64 2.25 1.75 1.59 1. - 100 1013.2 39.5 14.0 8.3 6.08 4.92 4.21 3.74 3.40 3.15 2.96 2.80 2.56 2.17 1.66 1.48 1. - ∞ 1018.3 39.5 13.9 8.3 6.02 4.85 4.14 3.67 3.33 3.08 2.88 2.72 2.49 2.09 1.55 1.
    • α = 0 ′ - 1 4052.2 98.5 34.1 21.2 16.26 13.75 12.3 11.3 10.6 10.0 9.65 9.33 8.86 8.10 7.17 6.90 6. k 1 \ k 2 1 2 3 4 5 6 7 8 9 10 11 12 14 20 50 100 ∞ - 2 4999.5 99.0 30.8 18.0 13.27 10.92 9.55 8.65 8.02 7.56 7.21 6.93 6.51 5.85 5.06 4.82 4. - 3 5403.4 99.2 29.5 16.7 12.06 9.78 8.45 7.59 6.99 6.55 6.22 5.95 5.56 4.94 4.20 3.98 3. - 4 5624.6 99.2 28.7 16.0 11.39 9.15 7.85 7.01 6.42 5.99 5.67 5.41 5.04 4.43 3.72 3.51 3. - 5 5763.6 99.3 28.2 15.5 10.97 8.75 7.46 6.63 6.06 5.64 5.32 5.06 4.69 4.10 3.41 3.21 3. - 6 5859.0 99.3 27.9 15.2 10.67 8.47 7.19 6.37 5.80 5.39 5.07 4.82 4.46 3.87 3.19 2.99 2. - 7 5928.4 99.4 27.7 15.0 10.46 8.26 6.99 6.18 5.61 5.20 4.89 4.64 4.28 3.70 3.02 2.82 2. - 8 5981.1 99.4 27.5 14.8 10.29 8.10 6.84 6.03 5.47 5.06 4.74 4.50 4.14 3.56 2.89 2.69 2. - 9 6022.5 99.4 27.3 14.7 10.16 7.98 6.72 5.91 5.35 4.94 4.63 4.39 4.03 3.46 2.78 2.59 2. - 10 6055.8 99.4 27.2 14.5 10.05 7.87 6.62 5.81 5.26 4.85 4.54 4.30 3.94 3.37 2.70 2.50 2. - 11 6083.3 99.4 27.1 14.5 9.96 7.79 6.54 5.73 5.18 4.77 4.46 4.22 3.86 3.29 2.63 2.43 2. - 12 6106.3 99.4 27.1 14.4 9.89 7.72 6.47 5.67 5.11 4.71 4.40 4.16 3.80 3.23 2.56 2.37 2. - 14 6142.7 99.4 26.9 14.2 9.77 7.60 6.36 5.56 5.01 4.60 4.29 4.05 3.70 3.13 2.46 2.27 2. - 20 6208.7 99.4 26.7 14.0 9.55 7.40 6.16 5.36 4.81 4.41 4.10 3.86 3.51 2.94 2.27 2.07 1. - 50 6302.5 99.5 26.4 13.7 9.24 7.09 5.86 5.07 4.52 4.12 3.81 3.57 3.22 2.64 1.95 1.74 1. - 100 6334.1 99.5 26.2 13.6 9.13 6.99 5.75 4.96 4.41 4.01 3.71 3.47 3.11 2.54 1.82 1.60 1. - ∞ 6365.9 99.5 26.1 13.5 9.02 6.88 5.65 4.86 4.31 3.91 3.60 3.36 3.00 2.42 1.68 1.