FORMULARIO DE PROBABILIDAD Y ESTADÍSTICA Modelos discretos de probabilidad Nombre Notación Función de masa Media Varianza Binomial ( , ) B n p ( ) ( ) 1 , 0,1, 2,..., nk k n P X k p p k n k − = = − = np np(1-p) De Poisson () P ( ) , 0,1, 2,... ! k e P X k k k − = = = Modelos continuos de probabilidad Nombre Notación Función de densidad Media Varianza Uniforme ( ) b a U , ( ) a b x f − = 1 si ( ) b a x , 2 b a + ( ) 12 2 a b − Exponencial ( ) Exp ( ) e x f x - β = si 0 x 1 2 1 Gamma () , ( ) ( ) e x α Γ β x f x - β α - α 1 = si 0 x α β α 2 Normal ( ) , N ( ) e π σ x f σ x - μ − = 2 2 1 2 1 ,풙∈ℝ 2 Distribuciones 2 de Pearson, t de Student, F de Snedecor Nombre Definición Hipótesis Chi cuadrado de Pearson 휒 푛 2 =∑푋 푖 2 푛 푖=1 ( ) 1 , 0 ~ N X i independientes t de Student () nχ ,N t n n 2 10 = ( ) 1 0 , N y 2 n χ independientes F de Snedecor 퐹 푚,푛 = 휒 푚 2 푚 ⁄ 휒 푛 2 푛 ⁄ 휒 푚 2 ,휒 푛 2 independientes Estadísticos para intervalos de confianza y contrastes de hipótesis paramétricas Parámetros Distribución del estadístico Hipótesis 푋−휇 푆/ √ 푛 ~ 푡 푛−1 푋∼푁 ( 휇,휎 ) o X cualquiera y n ≥ 100 2 ( ) 2 2 1 2 1 ~ n nS − − 푋∼푁 ( 휇,휎 ) p intervalo 푃 ̂ −푝 √ 푃 ̂ (1−푃 ̂ ) 푛 ≈푁 ( 0,1 ) 푋∼퐵 ( 1,푝 ) y 100n p contraste () () 0 00 ˆ 0,1 1 Pp N pp n − − 푋∼퐵 ( 1,푝 ) y 100 n siendo 퐻 0 :푝=푝 0 μ 1 − μ 2 ( 푋 ̄ 1 −푋 ̄ 2 ) −(휇 1 −휇 2 ) √ ( 푛 1 −1 ) 푆 1 2 + ( 푛 2 −1 ) 푆 2 2 ( 푛 1 +푛 2 −2 ) √ 1 푛 1 + 1 푛 2 ∼푡 푛+푚−2 Muestras independientes X 1 , X 2 ambas normales Suponiendo 휎 1 2 =휎 2 2 ( 푋 ̄ 1 −푋 ̄ 2 ) − ( 휇 1 −휇 2 ) √ 푆 1 2 푛 1 + 푆 2 2 푛 2 ~ 푡 푤 (≈푁 ( 0,1 ) ) Muestras independientes X 1 , X 2 ambas normales Suponiendo 휎 1 2 ≠휎 2 2 o X 1 , X 2 cualquiera y n 1 , n 2 ≥ 100 휎 1 2 휎 2 2 푆 1 2 푆 2 2 ⁄ 휎 1 2 휎 2 2 ⁄ ∼퐹 푛 1 −1,푛 2 −1 Muestras independientes X 1 , X 2 ambas normales • 푋 media muestral de X • 푆 cuasivarianza muestral de X • 푃 ̂ proporción muestral de 푋∼퐵 ( 1,푝 ) • 푋 ̄ 1 ,푋 ̄ 2 medias muestrales de X 1 , X 2 • 푆 1 2 ,푆 2 2 cuasivarianzas muestrales de X 1 , X 2 Instrucciones de uso de 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Un Factor Modelos de Regresión Simple > Regresión Simple (Lineal u otros) Resumen del Análisis Pronósticos Gráfico del modelo ajustado Regresión Polinomial Resumen del Análisis Pronósticos Gráfico del modelo ajustado Distribución Binomial acumuladaValores con redondeo en el 5º decimal Valores k tales que P(X≤k)=p1 representa un número > 0,99995 nkp 0,010,050,10,150,20,250,31/30,350,40,450,5 2 0 0,98010,90250,81000,72250,64000,56250,49000,44440,42250,36000,30250,2500 1 0,99990,99750,99000,97750,96000,93750,91000,88890,87750,84000,79750,7500 3 0 0,97030,85740,72900,61410,51200,42190,34300,29630,27460,21600,16640,1250 1 0,99970,99280,97200,93930,89600,84380,78400,74070,71830,64800,57480,5000 210,99990,99900,99660,99200,98440,97300,96300,95710,93600,90890,8750 4 0 0,96060,81450,65610,52200,40960,31640,24010,19750,17850,12960,09150,0625 1 0,99940,98600,94770,89050,81920,73830,65170,59260,56300,47520,39100,3125 210,99950,99630,98800,97280,94920,91630,88890,87350,82080,75850,6875 3110,99990,99950,99840,99610,9919 0,98770,98500,97440,95900,9375 5 0 0,95100,77380,59050,44370,32770,23730,16810,13170,11600,07780,05030,0313 1 0,99900,97740,91850,83520,73730,63280,52820,46090,42840,33700,25620,1875 210,99880,99140,97340,94210,89650,83690,79010,76480,68260,59310,5000 3110,99950,99780,99330,98440,96920,95470,94600,91300,86880,8125 41110,99990,99970,99900,99760,99590,99470,98980,98150,9688 6 0 0,94150,73510,53140,37710,26210,1780,11760,08780,07540,04670,02770,0156 1 0,99850,96720,88570,77650,65540,53390,42020,35120,31910,23330,16360,1094 210,99780,98420,95270,90110,83060,74430,68040,64710,54430,44150,3438 310,99990,99870,99410,98300,96240,92950,89990,88260,82080,74470,6563 4110,99990,99960,99840,99540,98910,98220,9777 0,9590,93080,8906 511110,99990,99980,99930,99860,99820,99590,99170,9844 7 0 0,93210,69830,47830,32060,20970,13350,08240,05850,04900,0280,01520,0078 1 0,99800,95560,85030,71660,57670,44490,32940,26340,23380,15860,10240,0625 210,99620,97430,92620,85200,75640,64710,57060,53230,41990,31640,2266 310,99980,99730,98790,96670,92940,87400,82670,80020,71020,60830,5000 4110,99980,99880,99530,98710,97120,95470,94440,90370,84710,7734 51110,99990,99960,99870,99620,99310,99100,98120,96430,9375 6111110,99990,99980,99950,99940,99840,99630,9922 8 0 0,92270,66340,43050,27250,16780,10010,05760,03900,03190,01680,00840,0039 1 0,99730,94280,81310,65720,50330,36710,25530,19510,16910,10640,0632 0,0352 2 0,99990,99420,96190,89480,79690,67850,55180,46820,42780,31540,22010,1445 310,99960,99500,97860,94370,88620,80590,74140,70640,59410,47700,3633 4110,99960,99710,98960,97270,94200,91210,89390,82630,73960,6367 51110,99980,99880,99580,98870,98030,97470,95020,91150,8555 611110,99990,99960,99870,99740,99640,99150,98190,9648 71111110,99990,99980,99980,99930,99830,9961 9 0 0,91350,63020,38740,23160,13420,07510,04040,0260,02070,01010,00460,002 1 0,99660,92880,77480,59950,43620,30030,19600,14310,12110,07050,03850,0195 2 0,99990,99160,94700,85910,73820,60070,46280,37720,33730,23180,14950,0898 310,99940,99170,96610,91440,83430,72970,65030,60890,48260,36140,2539 41 10,99910,99440,98040,95110,90120,85520,82830,73340,62140,5000 5110,99990,99940,99690,99000,97470,95760,94640,90060,83420,7461 611110,99970,99870,99570,99170,98880,97500,95020,9102 7111110,99990,99960,99900,99860,99620,99090,9805 811111110,99990,99990,99970,99920,9980 10 0 0,90440,59870,34870,19690,10740,05630,02820,01730,01350,0060,00250,0010 1 0,99570,91390,73610,54430,37580,24400,14930,10400,08600,04640,02330,0107 2 0,99990,98850,92980,82020,67780,52560,38280,29910,26160,16730,09960,0547 310,99900,98720,95000,87910,77590,64960,55930,51380,38230,26600,1719 410,99990,99840,99010,96720,92190,84970,78690,75150,63310,50440,3770 5110,99990,9986 0,99360,98030,95270,92340,90510,83380,73840,6230 61110,99990,99910,99650,98940,98030,97400,94520,89800,8281 711110,99990,99960,99840,99660,99520,98770,97260,9453 81111110,99990,99960,99950,99830,99550,9893 91111111110,99990,99970,9990 () ,Bnp Distribución de Poisson acumuladaValores con redondeo en el 5º decimal Valores x tales que P(X≤x)=p1 representa un número > 0,99995 λ | Χ0123456789101112 0,10,90480,99530,99981111111111 0,20,81870,98250,99890,9999111111111 0,30,74080,96310,99640,9997111111111 0,40,67030,93840,99210,99920,999911111111 0,50,60650,90980,98560,99820,999811111111 0,60,54880,87810,97690,99660,999611111111 0,70,49660,84420,96590,99420,99920,99991111111 0,80,44930,80880,95260,99090,99860,99981111111 0,90,40660,77250,9371 0,98650,99770,99971111111 10,36790,73580,91970,98100,99630,99940,9999111111 1,10,33290,69900,90040,97430,99460,99900,9999111111 1,20,30120,66260,87950,96620,99230,99850,9997111111 1,30,27250,62680,85710,95690,98930,99780,99960,999911111 1,40,24660,59180,83350,94630,98570,99680,99940,999911111 1,50,22310,55780,80880,93440,98140,99550,99910,999811111 1,60,20190,52490,78340,92120,97630,99400,99870,999711111 1,70,18270,49320,75720,90680,97040,99200,99810,99960,99991111 1,80,16530,46280,73060,89130,96360,98960,99740,99940,999911 11 1,90,14960,43370,70370,87470,95590,98680,99660,99920,99981111 20,13530,40600,67670,85710,94730,98340,99550,99890,99981111 2,20,11080,35460,62270,81940,92750,97510,99250,99800,99950,9999111 2,40,09070,30840,56970,77870,90410,96430,98840,99670,99910,9998111 2,60,07430,26740,51840,73600,87740,95100,98280,99470,99850,99960,999911 2,80,06080,23110,46950,69190,84770,93490,97560,99190,99760,99930,999811 30,04980,19910,42320,64720,81530,91610,96650,98810,99620,99890,99970,99991 3,20,04080,17120,37990,60250,78060,89460,95540,98320,99430,99820,99950,99991 3,40,03340,14680,33970,55840,74420,87050,94210,97690,99170,99730,99920,99980,9999 3,60,02730,12570,30270,51520,7064 0,84410,92670,96920,98830,99600,99870,99960,9999 3,80,02240,10740,26890,47350,66780,81560,90910,95990,98400,99420,99810,99940,9998 40,01830,09160,23810,43350,62880,78510,88930,94890,97860,99190,99720,99910,9997 4,20,01500,07800,21020,39540,58980,75310,86750,93610,97210,98890,99590,99860,9996 4,40,01230,06630,18510,35940,55120,71990,84360,92140,96420,98510,99430,99800,9993 4,60,01010,05630,16260,32570,51320,68580,81800,90490,95490,98050,99220,99710,9990 4,80,00820,04770,14250,29420,47630,65100,79080,88670,94420,97490,98960,99600,9986 50,00670,04040,12470,26500,44050,61600,76220,86660,93190,96820,98630,99450,9980 5,50,00410,02660,08840,20170,35750,52890,68600,80950,89440,94620,97470,98900,9955 60,00250,01740,06200,15120,28510,44570,60630,74400,84720,91610,95740,97990,9912 6,50,00150,01130,04300,11180,22370,36900,52650,67280,79160,87740,93320,96610,9840 70,00090,00730,02960,08180,17300,30070,44970,59870,72910,83050,90150,94670,9730 7,50,00060,00470,02030,05910,13210,24140,37820,52460,66200,77640,86220,92080,9573 80,00030,00300,01380,04240,09960,19120,31340,45300,59250,71660,81590,88810,9362 8,50,00020,00190,00930,03010,07440,14960,25620,38560,52310,65300,76340,84870,9091 90,00010,00120,00620,02120,05500,11570,20680,32390,45570,58740,70600,80300,8758 9,50,00010,00080,00420,01490,04030,08850,16490,26870,39180,52180,64530,75200,8364 100,00000,00050,00280,01030,02930,06710,13010,22020,33280,45790,58300,69680,7916 λ | Χ12131415161718192021222324 3,80,9998111111 111111 40,99970,999911111111111 4,20,99960,999911111111111 4,40,99930,99980,99991111111111 4,60,99900,99970,99991111111111 4,80,99860,99950,99991111111111 50,99800,99930,99980,9999111111111 5,50,99550,99830,99940,99980,999911111111 60,99120,99640,99860,99950,999830,99991111111 6,50,98400,99290,99700,99880,99960,99980,9999111111 70,9730 0,98720,99430,99760,99900,99960,9999111111 7,50,95730,97840,98970,99540,99800,99920,99970,999911111 80,93620,96580,98270,99180,99630,99840,99930,99970,99991111 8,50,90910,94860,97260,98620,99340,99700,99870,99950,99980,9999111 90,87580,92610,95850,97800,98890,99470,99760,99890,99960,99980,999911 9,50,83640,89810,94000,96650,98230,99110,99570,99800,99910,99960,99990,99991 100,79160,86450,91650,95130,97300,98570,99280,99650,99840,99930,99970,99991 () λΡ Distribución Normal acumuladaValores con redondeo en el 5º decimal Valores x tales que P(X≤x)=p 1 representa un número > 0,99995 x0,000,010,020,030,040,050,060,070,080,09 0,00,50000,50400,50800,51200,51600,51990,52390,52790,53190,5359 0,10,53980,54380,54780,55170,55570,55960,56360,56750,57140,5753 0,20,57930,58320,58710,59100,59480,59870,60260,60640,61030,6141 0,30,61790,62170,62550,62930,63310,63680,64060,64430,64800,6517 0,40,65540,65910,66280,66640,67000,67360,67720,68080,68440,6879 0,50,69150,69500,69850,70190,70540,70880,71230,71570,71900,7224 0,60,72570,72910,73240,73570,73890,74220,74540,74860,75170,7549 0,70,75800,76110,76420,76730,77040,77340,77640,77940,78230,7852 0,80,78810,79100,79390,79670,79950,80230,80510,80780,81060,8133 0,90,81590,81860,82120,82380,82640,82890,83150,83400,83650,8389 1,00,84130,84380,84610,84850,85080,85310,85540,8577 0,85990,8621 1,10,86430,86650,86860,87080,87290,87490,87700,87900,88100,8830 1,20,88490,88690,88880,89070,89250,89440,89620,89800,89970,9015 1,30,90320,90490,90660,90820,90990,91150,91310,91470,91620,9177 1,40,91920,92070,92220,92360,92510,92650,92790,92920,93060,9319 1,50,93320,93450,93570,93700,93820,93940,94060,94180,94290,9441 1,60,94520,94630,94740,94840,94950,95050,95150,95250,95350,9545 1,70,95540,95640,95730,95820,95910,95990,96080,96160,96250,9633 1,80,96410,96490,96560,96640,96710,96780,96860,96930,96990,9706 1,90,97130,97190,97260,97320,97380,97440,97500,97560,97610,9767 2,00,97720,97780,97830,97880,97930,97980,98030,98080,98120,9817 2,10,98210,98260,98300,98340,98380,98420,98460,98500,98540,9857 2,20,98610,98640,98680,98710,98750,98780,98810,98840,98870,9890 2,30,98930,98960,98980,99010,99040,99060,99090,99110,99130,9916 2,40,99180,99200,99220,99250,99270,99290,99310,99320,99340,9936 2,50,99380,99400,99410,99430,99450,99460,99480,99490,99510,9952 2,60,99530,99550,99560,99570,99590,99600,99610,99620,99630,9964 2,70,99650,99660,99670,99680,99690,99700,99710,99720,99730,9974 2,80,99740,99750,99760,99770,99770,99780,99790,99790,99800,9981 2,90,99810,99820,99820,99830,99840,99840,99850,99850,99860,9986 3,00,99870,99870,99870,99880,99880,99890,99890,99890,99900,9990 3,10,99900,99910,99910,99910,99920,99920,99920,99920,99930,9993 3,20,99930,99930,99940,99940,99940,99940,99940,99950,99950,9995 3,30,99950,99950,99950,99960,99960,99960,99960,99960,99960,9997 3,40,99970,99970,99970,99970,99970,99970,99970,99970,99970,9998 3,50,9998 0,99980,99980,99980,99980,99980,99980,99980,99980,9998 3,60,99980,99980,99990,99990,99990,99990,99990,99990,99990,9999 3,70,99990,99990,99990,99990,99990,99990,99990,99990,99990,9999 3,80,99990,99990,99990,99990,99990,99990,99990,99990,99990,9999 3,91111111111 41111111111 () 0,1N Distribución CHI cuadrado acumuladaValores con redondeo en el 5º decimal Valores x tales que P(X k ≤x)=p k es el nº de grados de libertad k p0,0050,010,0250,050,10,250,50,750,90,950,9750,990,995 10,00000,00020,00100,00390,01580,10150,45491,32332,70553,84155,02396,63497,8794 20,01000,02010,05060,10260,21070,57541,38632,77264,60525,99157,37789,210410,5965 30,07170,11480,21580,35180,58441,21252,36604,10836,25147,81479,348411,344912,8381 40,20700,29710,48440,71071,06361,92263,35675,38537,77949,487711,143313,276714,8602 50,41180,55430,83121,14551,61032,67464,35156,62579,236311,070512,832515,086316,7496 60,67570,87211,23731,63542,20413,45465,34817,840810,644612,591614,449416,811918,5475 70,98931,23901,68992,16732,83314,25496,34589,037112,017014,067116,012818,475320,2777 81,34441,64652,17972,73263,48955,07067,344110,218913,361615,507317,534520,090221,9549 91,73492,0879 2,70043,32514,16825,89888,342811,388714,683716,919019,022821,666023,5893 102,15582,55823,24703,94034,86526,73729,341812,548915,987218,307020,483223,209325,1881 112,60323,05353,81574,57485,57787,584110,341013,700717,275019,675221,920024,725026,7569 123,07383,57064,40385,22606,30388,438411,340314,845418,549321,026123,336726,217028,2997 133,56504,10695,00875,89197,04159,299112,339815,983919,811922,362024,735627,688229,8193 144,07474,66045,62876,57067,789510,165313,339317,116921,064123,684826,118929,141231,3194 154,60095,22946,26217,26098,546811,036514,338918,245122,307124,995827,488430,578032,8015 165,14225,81226,90777,96169,312211,912215,338519,368923,541826,296228,845331,999934,2671 175,69736,40777,56428,671810,085212,791916,338220,488724,769027,587130,191033,408735,7184 186,26487,01498,23079,390410,864913,675317,337921,604925,989428,8693 31,526434,805237,1564 196,84397,63278,906510,117011,650914,562018,337622,717827,203630,143532,852336,190838,5821 207,43388,26049,590810,850812,442615,451819,337423,827728,412031,410434,169637,566339,9969 218,03368,897210,282911,591313,239616,344420,337224,934829,615132,670635,478938,932241,4009 228,64279,542510,982312,338014,041517,239621,337026,039330,813333,924536,780740,289442,7957 239,260410,195711,688513,090514,848018,137322,336927,141332,006935,172538,075641,638344,1814 249,886210,856312,401113,848415,658719,037323,336728,241233,196236,415039,364142,979845,5584 2510,519611,524013,119714,611416,473419,939324,336629,338834,381637,652540,646544,314046,9280 2611,160212,198213,843915,379217,291920,843425,336530,434635,563238,885141,923145,641648,2898 2711,807712,878514,573416,151418,113921,749426,336331,528436,741240,113343,194546,962849,6450 2812,461313,564715,307916,9279 18,939222,657227,336232,620537,915941,337244,460848,278250,9936 2913,121114,256416,047117,708419,767723,566628,336133,710939,087542,556945,722349,587852,3355 3013,786714,953516,790818,492720,599224,477629,336034,799740,256043,773046,979250,892253,6719 3517,191718,508920,569422,465024,796629,054034,335640,222846,058849,801853,203357,342060,2746 4020,706622,164224,433126,509329,050533,660339,335345,616051,805055,758559,341763,690866,7660 4524,311025,901228,366230,612333,350438,291044,335150,984957,505361,656265,410169,956973,1660 5027,990829,706732,357434,764237,688642,942149,334956,333663,167167,504871,420276,153879,4898 5531,734933,512336,398138,916242,059647,610554,334861,665068,796273,311577,380482,292085,7491 6035,534437,484840,481743,188046,458952,293859,334766,981574,397079,082083,297788,379491,9518 7043,275345,441748,757551,739355,328961,698369,334577,576685,527090,531395,0231100,4251 104,2148 8051,171953,540057,153260,391564,277871,144579,334388,130396,5782101,8795106,6285112,3288116,3209 9059,196361,754065,646669,126073,291180,624789,334298,6499107,5650113,1452118,1359124,1162128,2987 10067,327570,065074,221977,929482,358190,133299,3341109,1412118,4980124,3421129,5613135,8069140,1697 2 k χ Distribución t de Student acumuladaValores con redondeo en el 5º decimal Valores x tales que P(t n ≤x)=p np 0,9950,990,9850,980,9750,950,90,850,80,750,70,650,60,55 163,655931,821021,205115,894512,70626,31373,07771,96261,37641,00000,72650,50950,32490,1584 29,92506,96455,64284,84874,30272,92001,88561,38621,06070,81650,61720,44470,28870,1421 35,84084,54073,89613,48193,18242,35341,63771,24980,97850,76490,58440,42420,27670,1366 44,60413,74693,29762,99852,77652,13181,53321,18960,94100,74070,56860,41420,27070,1338 54,03213,36493,00292,75652,57062,01501,47591,15580,91950,72670,55940,40820,26720,1322 63,70743,14272,82892,61222,44691,94321,43981,13420,90570,71760,55340,40430,26480,1311 73,49952,99792,71462,51682,36461,89461,41491,11920,89600,71110,54910,40150,26320,1303 83,35542,89652,63382,44902,30601,85951,39681,10810,8889 0,70640,54590,39950,26190,1297 93,24982,82142,57382,39842,26221,83311,38301,09970,88340,70270,54350,39790,26100,1293 103,16932,76382,52752,35932,22811,81251,37221,09310,87910,69980,54150,39660,26020,1289 113,10582,71812,49072,32812,20101,79591,36341,08770,87550,69740,53990,39560,25960,1286 123,05452,68102,46072,30272,17881,78231,35621,08320,87260,69550,53860,39470,25900,1283 133,01232,65032,43582,28162,16041,77091,35021,07950,87020,69380,53750,39400,25860,1281 142,97682,62452,41492,26382,14481,76131,34501,07630,86810,69240,53660,39330,25820,1280 152,94672,60252,39702,24852,13151,75311,34061,07350,86620,69120,53570,39280,25790,1278 162,92082,58352,38152,23542,11991,74591,33681,07110,86470,69010,53500,39230,25760,1277 172,89822,56692,36812,22382,10981,73961,33341,0690 0,86330,68920,53440,39190,25730,1276 182,87842,55242,35622,21372,10091,73411,33041,06720,86200,68840,53380,39150,25710,1274 192,86092,53952,34572,20472,09301,72911,32771,06550,86100,68760,53330,39120,25690,1274 202,84532,52802,33622,19672,08601,72471,32531,06400,86000,68700,53290,39090,25670,1273 212,83142,51762,32782,18942,07961,72071,32321,06270,85910,68640,53250,39060,25660,1272 222,81882,50832,32022,18292,07391,71711,32121,06140,85830,68580,53210,39040,25640,1271 232,80732,49992,31322,17702,06871,71391,31951,06030,85750,68530,53170,39020,25630,1271 242,79702,49222,30692,17152,06391,71091,31781,05930,85690,68480,53140,39000,25620,1270 252,78742,48512,30112,16662,05951,70811,31631,05840,85620,68440,53120,38980,25610,1269 262,77872,47862,29582,16202,05551,70561,3150 1,05750,85570,68400,53090,38960,25600,1269 272,77072,47272,29092,15782,05181,70331,31371,05670,85510,68370,53060,38940,25590,1268 282,76332,46712,28642,15392,04841,70111,31251,05600,85460,68340,53040,38930,25580,1268 292,75642,46202,28222,15032,04521,69911,31141,05530,85420,68300,53020,38920,25570,1268 302,75002,45732,27832,14702,04231,69731,31041,05470,85380,68280,53000,38900,25560,1267 352,72382,43772,26222,13322,03011,68961,30621,05200,85200,68160,52920,38850,25530,1266 402,70452,42332,25032,12292,02111,68391,30311,05000,85070,68070,52860,38810,25500,1265 502,67782,40332,23382,10872,00861,67591,29871,04730,84890,67940,52780,38750,25470,1263 602,66032,39012,22292,09942,00031,67061,29581,04550,84770,67860,52720,38720,25450,1262 702,64792,38082,21522,09271,99441,6669 1,29381,04420,84680,67800,52680,38690,25430,1261 802,63872,37392,20952,08781,99011,66411,29221,04320,84610,67760,52650,38670,25420,1261 902,63162,36852,20502,08391,98671,66201,29101,04240,84560,67720,52630,38660,25410,1260 1002,62592,36422,20152,08091,98401,66021,29011,04180,84520,67700,52610,38640,25400,1260 1102,62132,36072,19862,07841,98181,65881,28931,04130,84490,67670,52590,38630,25400,1260 1202,61742,35782,19622,07631,97991,65761,28861,04090,84460,67650,52580,38620,25390,1259 >1202,57582,32642,17012,05381,96001,64491,2816 1,03640,84160,67450,52440,38530,25330,1257 n t