Problemas

33
1.- Genere, mediante el método de la Transformada Inversa, 100 nímer P(x)= 1/5 (4/5)x-1 para x= 1,2,3,… Ri Xi 1 0.7689 (1/5)] 2 0.3044 3 0.1440 4 0.8606 5 0.6648 6 0.0141 7 0.1834 8 0.8645 9 0.7447 10 0.1208 11 0.9938 12 0.8133 13 0.6527 14 0.3232 15 0.8307 16 0.2503 17 0.9914 18 0.7493 19 0.3254 20 0.4819 21 0.7956 22 0.2447 23 0.8028 24 0.0655 25 0.3168 26 0.7242 27 0.2294 28 0.0985 29 0.5709 30 0.8658 31 0.3063 32 0.2452 33 0.1489 34 0.3500 35 0.3369 36 0.9663 37 0.4186 38 0.5932 39 0.1612 40 0.3915 41 0.7696 42 0.5826

Transcript of Problemas

Hoja11.- Genere, mediante el mtodo de la Transformada Inversa, 100 nmeros aleatorios para la siguiente distribucin de probabilidad.

P(x)=1/5 (4/5)x-1para x= 1,2,3,n RiXi10.6799(1/5)]20.501630.124940.301950.427560.619070.089880.694190.3372100.8485110.2497120.2846130.1909140.8179150.8806160.7293170.9479180.0156190.4550200.2403210.5355220.9747230.7751240.2176250.7021260.8826270.0254280.2742290.4925300.2223310.6688320.7621330.4219340.6900350.3775360.6930370.5922380.3300390.0454400.7783410.6210420.4841430.3496440.7376450.3788460.1600470.5918480.4178490.3018500.9428510.9813520.0992530.5135540.7709550.6618560.4709570.0356580.0795590.6015600.7010610.0455620.1246630.9335640.5624650.7788660.1839670.1271680.7718690.4769700.1698710.6256720.0961730.5923740.6895750.1334760.4824770.1616780.3579790.8339800.6049810.2192820.6746830.3850840.4799850.1016860.9901870.4317880.4269890.7616900.9216910.7828920.6132930.7241940.4181950.1527960.8875970.1006980.0251990.52791000.6158

Hoja22.- Obtenga, con el metodo de la transformada inversa, la expresion matemtica para generar variables aleatorias que sigan las funciones de densidad indicadas

Hoja3Genere con el mtodo de la transformada inversa, variables aleatorias con densidad f(x) usando lso numeros aleatorios 0.642, 0.225, 0.134, 0.176, 0.954, y 0.245

Hoja4Obtenga el valor de la variable que se generara mediante el mtodo de composicin al utilizar los nmeros aleatorios 0.5623 y 0.9825 con la funcion de densidad siguiente:

Hoja5Geenre 50 variables aleatorias para las siguientes distribuciones de probabilidad; utilice el mtodo de la transformada inversa.

Hoja6Utilizando una hoja de clculo, genere 50 variables aleatorias.atriangularmente distribuidas con lmite inferior = 5, valor ms probable = 10 y lmite superior = 15bcon distribucin binomial y parametros N = 5, p = 0.3, q = 0.7 ccon distribucin de Poisson, con = 3compruebe con Staff: fit si las variables aleatorias generadas siguen la distribucin de probabilidad que se esperara de ellasaa=5b=15c=10nRiXi10.637610.743320.05246.617930.38149.367240.589810.471450.33639.100860.07936.990670.22628.362980.622010.652890.32649.0398100.07476.9329110.793511.7870120.49189.9589130.990714.3188140.645710.7910150.14547.6962160.939113.2552170.46039.7973180.957013.5334190.760311.5379200.683611.0223210.05506.6580220.827212.0609230.553910.2770240.00735.6053250.576610.3988260.47329.8639270.34289.1402280.842412.1932290.34549.1559300.864012.3919310.09097.1324320.518710.0943330.14117.6560340.644310.7831350.645610.7906360.11987.4478370.988414.2389380.689011.0570390.09957.2308400.34679.1632410.41569.5585420.969613.7662430.535010.1783440.794311.7934450.988814.2514460.31598.9741470.973113.8393480.07266.9050490.820312.0027500.29078.8125bp=0.3q=0.7nRIxipiezas x lote10.33690020.2386030.0806040.6796050.3536060.54920370.2745080.7083190.70311100.70011110.400302120.80171130.12440140.93851150.14770160.695101170.34440180.58940190.91051200.09290210.195401220.09760230.63880240.13800250.76711260.481302270.05370280.74901290.53730300.78191310.053301320.36440330.86161340.01830350.09670360.864512370.37190380.57460390.29060400.92601410.927311420.06240430.33950440.45630450.41020460.960113470.07800480.79091490.98241500.03960c=3nriXi10.924020.626230.434440.825150.615460.776070.656580.360690.2172100.5970110.9229120.3486130.6197140.4556150.0954160.6970170.3047180.3702190.7006200.6206210.1347220.0153230.4132240.9878250.6300260.1034270.8591280.0959290.9584300.7827310.1212320.9071330.6999340.2442350.5520360.4633370.8770380.0608390.4404400.0227410.3733420.9096430.9095440.4581450.8637460.2900470.5655480.5892490.9901500.0822

Hoja7genere una muestra de tamao 50, de una distribucin exponencial de parametro 2

nRiXi10.49771.377120.02200.044530.24990.575240.91845.011350.18070.398760.34860.857370.44951.193780.69872.399590.96426.6578100.30640.7317110.69312.3623120.06580.1360130.32070.7734140.04690.0961150.40221.0290160.71932.5409170.25490.5886180.09080.1905190.41681.0786200.36350.9035210.97657.5045220.21240.4775230.75022.7742240.91354.8953250.87644.1819260.20040.4474270.11550.2455280.90634.7349290.31900.7683300.06630.1371310.40661.0438320.95366.1428330.90724.7552340.74832.7592350.92735.2425360.95636.2605370.77652.9968380.93145.3577390.45031.1966400.23820.5441410.96786.8746420.57481.7103430.58661.7668440.71512.5111450.03680.0749460.31140.7463470.95566.2302480.64002.0433490.13140.2816500.01390.0279

Hoja8genere una muestra de tamao 50 con media = (los ultimos 4 digitos de tu dni) y desviacion estandar 2

dni47246959media6959NR1R2R3R4R5R6R7R8R9R10R11R12Suma RiXi10.6850.2730.8100.8490.6430.9450.5340.4310.8260.4870.9820.3467.8136962.62520.4160.2930.6450.6570.4530.4320.5390.8020.8580.5020.5540.7896.9396960.87830.5670.6220.9940.5360.3030.1570.6780.8340.0110.8640.5650.0746.2046959.40840.6110.7120.8130.3290.0600.1430.6100.7080.5300.0030.9310.4685.9156958.83150.8360.3080.3730.9990.5930.2120.1040.2770.9250.7610.6450.7236.7576960.51560.9750.6730.6430.4610.5060.2560.7730.9930.2020.3800.3140.3986.5736960.14670.1220.2060.3220.5470.1000.9240.7450.7250.3310.7930.4440.4865.7466958.49280.4990.2620.5620.5810.5040.4020.8140.2960.7040.6590.0510.7436.0766959.15290.4550.4370.7870.6530.6400.1000.7510.7120.0390.4310.4320.8776.3146959.629100.3350.8110.8530.3720.4240.2560.3020.8680.1800.6250.8350.9446.8066960.612110.4830.1210.5760.8240.9410.0240.1270.6890.3240.5890.6590.8966.2536959.506120.2350.3620.3770.6720.7780.2490.0730.6890.3700.6600.9970.7916.2526959.505130.2740.4830.6040.3430.6610.4060.2380.0730.8700.2300.6870.9025.7716958.542140.0410.1040.3000.1110.2760.5110.9750.4350.9140.2880.9420.9845.8826958.763150.3230.5990.4530.5420.7300.3740.6500.8630.5200.8660.1080.8196.8456960.691160.8090.7250.0420.1620.9180.9690.3270.7830.9060.6370.7280.9657.9726962.944170.4190.4620.5640.8840.4100.3780.9760.7030.2470.0310.6470.4216.1426959.284180.2720.6560.0560.4330.1540.4090.3100.1330.2300.5340.8800.4754.5446956.087190.0730.4210.0600.9570.1080.2420.2130.1090.9940.2900.0770.7264.2716955.542200.0790.9870.0800.9220.8090.8480.5210.4160.9980.1710.3410.8186.9896960.978210.1800.0730.2410.4570.9150.2120.4200.1000.1790.4970.8700.6164.7606956.520220.3090.7910.6240.2270.2680.9940.6900.4550.3210.1510.4210.7205.9736958.947230.5000.8650.3000.5500.9890.7460.3050.4650.1230.6790.6210.0256.1686959.337240.2750.9240.8540.4100.4230.5890.2480.3840.3850.1500.4140.2245.2806957.561250.3380.9670.8110.5010.5390.8720.7050.1060.1960.1840.8010.2136.2316959.462260.2450.5640.3050.8790.9240.5070.0380.4940.2600.3760.7660.8476.2056959.409270.3030.4280.4080.6040.2470.0920.1030.1310.7670.2070.3290.6644.2846955.569280.0860.3670.5060.9470.0460.0550.9440.4680.1200.1550.7130.7035.1086957.216290.9050.9370.6710.7120.0570.8300.1890.2980.0950.6940.1670.7046.2596959.517300.9170.3460.3210.6380.2540.3370.8430.6950.9970.9940.1730.2666.7816960.562310.9220.5130.0780.9300.1290.9880.9340.1300.3130.5460.0790.3125.8736958.746320.5020.4940.0190.5430.6720.9060.5040.0440.5010.3440.6670.7565.9526958.905330.3950.2660.4710.6970.8080.9330.0760.8940.8980.4020.3240.5306.6936960.386340.1740.5010.0870.5060.3860.3260.5650.3310.9700.3600.9610.5935.7616958.521350.2360.9600.6610.4170.3700.6920.5820.2920.3200.3800.1200.5615.5916958.182360.7840.3840.3110.1650.7530.2270.7720.8460.9560.3700.4020.5546.5246960.049370.1030.5550.3070.0870.0340.2040.3170.6990.2410.9760.2180.0503.7926954.584380.5750.1890.0350.9320.0100.5930.3950.2710.5890.0430.8120.8735.3166957.632390.2110.0680.5570.5800.2880.0060.4110.5600.8190.6670.0960.7835.0446957.089400.3810.3540.3150.7540.6270.8020.4840.2080.0250.7040.7430.5185.9156958.830410.8360.0250.4570.0210.6390.8150.5880.2110.8600.3300.9320.9646.6806960.360420.0480.2770.0800.1730.2700.3690.9410.3690.0650.5670.9850.9865.1296957.258430.5230.6010.2520.7190.6350.8900.5290.5460.1830.7830.0340.3926.0876959.174440.1050.6400.7130.7510.8730.9710.4710.7030.1860.2420.8440.5697.0696961.138450.8250.8070.3290.9990.4950.8020.9890.5420.6370.9340.3040.0967.7596962.518460.9300.0360.2130.5020.1870.3870.3250.3280.2760.4050.1060.9094.6046956.208470.2770.4370.9400.2020.5680.1320.8910.3580.9340.0260.0210.1774.9646956.927480.4150.0540.5290.9320.5110.0630.8130.8360.8210.6120.0840.5346.2036959.407490.1100.9750.3460.7320.9310.8710.7210.3050.4810.0610.4900.2276.2506959.500500.5360.5460.0640.2290.5270.3910.2570.2450.2600.2510.8770.5224.7066956.411

Hoja9para una distribucin exponencial, genere 50 numeros sabiedno que = 1.2NriXi10.4890.80620.2660.37130.5560.97340.5320.91150.6461.24760.4880.80470.3590.53380.0990.12590.9998.239100.4780.781110.5140.865120.1040.132130.0160.019140.4040.620150.4570.733160.9754.407170.1940.258180.0560.070190.7441.635200.2000.268210.3190.461220.6501.261230.7531.677240.0860.108250.6461.247260.0750.094270.2930.417280.2700.377290.7621.721300.1980.265310.9012.775320.0820.102330.7751.789340.6691.327350.3620.539360.4950.821370.8532.304380.9493.582390.6381.218400.9966.494410.7071.471420.8342.152430.8061.970440.7501.662450.8292.120460.5410.936470.5530.967480.6611.299490.7381.607500.2660.372

Hoja10sea X una variable aleatoria continua con densidad f. Hallar la densidad de la variable aleatoria Y = X2

Hoja11Use el metodo de la trasnformada inversa para generar una variable aleatoria con funcin de distribucin