INTRODUCCIÓN. RESEÑA HISTÓRICA. PROBLEMAS Y OPORTUNIDADES PROBLEMAS:
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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