problemas impares unidad 2 de simulacion

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Entrega Final Simulacion

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Simulacion Trabajo Equipo

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PROBLEMAS 1.- Determine el ciclo o periodo de vida de los siguientes generadores congruenciales A) B) Xo= 21 Xo= 7 a= 21 a= 13 c= 15 c= 9 m= 31 m= 128 Xi+1=(aXi+c)mod(m) 22 12 19 11 29 4 6 17 0 15 20 1 5 27 24 23 2 26 3 16 10 8 28 14

ri=Xi/(m-1) 0.73333333 0.4 0.63333333 0.36666667 0.96666667 0.13333333 0.2 0.56666667 0 0.5 0.66666667 0.03333333 0.16666667 0.9 0.8 0.76666667 0.06666667 0.86666667 0.1 0.53333333 0.33333333 0.26666667 0.93333333 0 46666667

Xi+1=(aXi+c)mod(m) ri=Xi/(m-1) 100 0.78740157 29 0.22834646 2 0.01574803 35 0.27559055 80 0.62992126 25 0.19685039 78 0.61417323 127 1 124 0.97637795 85 0.66929134 90 0.70866142 27 0.21259843 104 0.81889764 81 0.63779528 38 0.2992126 119 0.93700787 20 0.15748031 13 0.1023622 50 0.39370079 19 0.14 96063 Sign0up to vote on this title 0  Useful  Not useful 9 0.07086614 126 0.99212598 111 0 87401575

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Guia Laboratorio 02

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46 0.36220472 95 0.7480315 92 0.72440945 53 0.41732283 58 0.45669291 123 0.96850394 72 0.56692913 49 0.38582677 6 0.04724409 87 0.68503937 116 0.91338583 109 0.85826772 18 0.14173228 115 0.90551181 96 0.75590551 105 0.82677165 94 0.74015748 79 0.62204724 12 0.09448819 37 0.29133858 106 0.83464567 107 0.84251969 120 0.94488189 33 0.25984252 54 0.42519685 71 0.55905512 36 0.28346457 93 0.73228346 66 0.5196 8504 Sign up to vote on this title 99 0.77952756  Useful  Not useful 16 0.12598425 89 0.7007874 14 0 11023622

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Guia Laboratorio 02

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46 0.36220472 95 0.7480315 92 0.72440945 53 0.41732283 58 0.45669291 123 0.96850394 72 0.56692913 49 0.38582677 6 0.04724409 87 0.68503937 116 0.91338583 109 0.85826772 18 0.14173228 115 0.90551181 96 0.75590551 105 0.82677165 94 0.74015748 79 0.62204724 12 0.09448819 37 0.29133858 106 0.83464567 107 0.84251969 120 0.94488189 33 0.25984252 54 0.42519685 71 0.55905512 36 0.28346457 93 0.73228346 66 0.5196 8504 Sign up to vote on this title 99 0.77952756  Useful  Not useful 16 0.12598425 89 0.7007874 14 0 11023622

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Guia Laboratorio 02

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73 0.57480315 62 0.48818898 47 0.37007874 108 0.8503937 5 0.03937008 74 0.58267717 75 0.59055118 88 0.69291339 1 0.00787402 22 0.17322835 39 0.30708661 4 0.03149606 61 0.48031496 34 0.26771654 67 0.52755906 112 0.88188976 57 0.4488189 110 0.86614173 31 0.24409449 28 0.22047244 117 0.92125984 122 0.96062992 59 0.46456693 8 0.06299213 113 0.88976378 70 0.5511811 23 0.18110236 52 0.40944882 45 0.3543 3071 Sign up to vote on this title 82 0.64566929  Useful  Not useful0.4015748 51 32 0.2519685 41 0 32283465

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Guia Laboratorio 02

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You're Reading a Preview Unlock full access with a free trial.

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Guia Laboratorio 02

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C) Xo= a= m=

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r 19 13 4 6 9 29 28 11 1 17 10 15 7 26 8 12 18 27 25 22 2 3 20 30

Guia Laboratorio 02

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D) Xo= a= m=

23 17 31

X


17 121 256

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0.63333333 138 0.43333333 3 0.13333333 124 0.2 245 0.3 110 0.96666667 231 0.93333333 96 0.36666667 217 0.03333333 82 0.56666667 203 0.33333333 68 0.5 189 0.23333333 54 You're Reading a Preview 0.86666667 175 Unlock full access with a free trial. 0.26666667 40 0.4 161 Download0.6 With Free Trial 26 0.9 147 0.83333333 12 0.73333333 133 Sign up to vote on this title 0.06666667 254 useful  Useful  Not 0.1 119 0.66666667 240 1 105

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Guia Laboratorio 02

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128 249 114 235 100 221 86 207 72 193 58 179 44 165 30 151 16 137 2 123 244 109 You're Reading a Preview 230 Unlock full access with a free trial. 95 216 Download With Free Trial 81 202 67 188 Sign up to vote on this 53 title  Useful  Not 174useful 39 160

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Guia Laboratorio 02

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183 48 169 34 155 20 141 6 127 248 113 234 99 220 85 206 71 192 57 178 43 164 You're Reading a Preview 29 Unlock full access with a free trial. 150 15 Download With Free Trial 136 1 122 243 Sign up to vote on108 this title  Useful  Not 229useful 94 215

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Guia Laboratorio 02

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238 103 224 89 210 75 196 61 182 47 168 33 154 19 140 5 126 247 112 233 98 219 You're Reading a Preview 84 Unlock full access with a free trial. 205 70 Download With Free Trial 191 56 177 42 Sign up to vote on163 this title  Useful  Not28useful 149 14

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Guia Laboratorio 02

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37 158 23 144 9 130 251 116 237 102 223 88 209 74 195 60 181 46 167 32 153 18 You're Reading a Preview 139 Unlock full access with a free trial. 4 125 Download With Free Trial 246 111 232 97 Sign up to vote on218 this title  Useful  Not83useful 204 69

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Guia Laboratorio 02

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92 213 78 199 64 185 50 171 36 157 22 143 8 129 250 115 236 101 222 87 208 73 You're Reading a Preview 194 Unlock full access with a free trial. 59 180 Download With Free Trial 45 166 31 152 Sign up to vote on this 17 title  Useful  Not useful

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E) Xo= X1= a0= a1= m= r


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21 43 21 15 64

X 0.54117647 0.01176471 0.48627451 0.96078431 0.43137255 0.90588235 0.37647059 0.85098039 0.32156863 0.79607843 0.26666667 0.74117647 0.21176471 0.68627451 0.15686275 0.63137255 0.10196078 0.57647059 0.04705882 0.52156863 0.99607843 0.46666667 0.94117647 0.41176471

62 62




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0.50196078 0.97647059 0.44705882 0.92156863 0.39215686 0.86666667 0.3372549 0.81176471 0.28235294 0.75686275 0.22745098 0.70196078 0.17254902 0.64705882 0.11764706 0.59215686 0.0627451 0.5372549 0.00784314 0.48235294 0.95686275 0.42745098 0.90196078 0.37254902 0.84705882 0.31764706 0.79215686 0.2627451 0.7372549 0.20784314 0.68235294 0.15294118 0.62745098


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Guia Laboratorio 02

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0.71764706 0.18823529 0.6627451 0.13333333 0.60784314 0.07843137 0.55294118 0.02352941 0.49803922 0.97254902 0.44313725 0.91764706 0.38823529 0.8627451 0.33333333 0.80784314 0.27843137 0.75294118 0.22352941 0.69803922 0.16862745 0.64313725 0.11372549 0.58823529 0.05882353 0.53333333 0.00392157 0.47843137 0.95294118 0.42352941 0.89803922 0.36862745 0.84313725


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Guia Laboratorio 02

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0.93333333 0.40392157 0.87843137 0.34901961 0.82352941 0.29411765 0.76862745 0.23921569 0.71372549 0.18431373 0.65882353 0.12941176 0.60392157 0.0745098 0.54901961 0.01960784 0.49411765 0.96862745 0.43921569 0.91372549 0.38431373 0.85882353 0.32941176 0.80392157 0.2745098 0.74901961 0.21960784 0.69411765 0.16470588 0.63921569 0.10980392 0.58431373 0.05490196


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Guia Laboratorio 02

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0.14509804 0.61960784 0.09019608 0.56470588 0.03529412 0.50980392 0.98431373 0.45490196 0.92941176 0.4 0.8745098 0.34509804 0.81960784 0.29019608 0.76470588 0.23529412 0.70980392 0.18039216 0.65490196 0.1254902 0.6 0.07058824 0.54509804 0.01568627 0.49019608 0.96470588 0.43529412 0.90980392 0.38039216 0.85490196 0.3254902 0.8 0.27058824


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0.36078431 0.83529412 0.30588235 0.78039216 0.25098039 0.7254902 0.19607843 0.67058824 0.14117647 0.61568627 0.08627451 0.56078431 0.03137255 0.50588235 0.98039216 0.45098039 0.9254902 0.39607843 0.87058824 0.34117647 0.81568627 0.28627451 0.76078431 0.23137255 0.70588235 0.17647059 0.65098039 0.12156863 0.59607843 0.06666667


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3.Sheet Music

y

32890225 79245604 6031936 101761 30976 9585216 34245904 6046681 217156 2941225 88585744 34304449 9265936 7070281 492804 86118400 1401856 16144324 2082249 675684 57274624 7540516 29214025 4579600 33593616 35236096 5569600 32444416 19749136 56115081 1322500

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intervalo [0,00-0,10) [0,10-0,20) [0,20-0,30) [0,30-0,40) [0,40-0,50) [0,50-0,60) [0,60-0,70) [0,70-0,80) [0,80-0,90) [0,90-1,00)

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0.8902 7 5 0.2456 7 5 0.0319 9 5 0.0176 5 5 0.3096 3 5 0.5852 7 5 0.2459 3 5 0.0466 2 5 0.1715 3 5 0.9412 5 5 0.5857 x²= 0.3044 0.2659 0.0702 la chi cuadrada de calculada es menor que 0.928 0.1184 0.4018 0.1443 0.0822 0.7568You're Reading a Preview 0.2746 Unlock full access with a free trial. 0.5405 0.214 0.5796Download With Free Trial 0.5936 0.236 0.5696  Sign up to vote on this title 0.4444  Useful  Not useful 0.7491 0.115 0 3225

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11916304 83960569 92198404 3936256 87647044 41860900

9163 9602 1984 9362 6470 8609

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0.9163 0.9602 0.1984 0.9362 0.647 0.8609




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(Ei-Oi)²/Ei 0.8 0.8 3.2 0 0.8 0.8 0.8 1.8 0.8 0 9.8 62.031 la de tablas por lo tanto se acepta




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5.a= 71 Xo= 167 m= 357 A) PRUEBA DE CORRIDAS ARRIBA Y ABAJO X r 76 0.21348315 s= {0,1,1,0,0,1,0,1,0,0,1,1,0,1,1} 41 0.11516854 55 0.15449438 Co= 10 335 0.94101124 α= 5% 223 0.62640449 125 0.3511236 10.3333 307 0.86235955 20 0.05617978 2.5222 349 0.98033708 146 0.41011236 -0.13214654 13 0.03651685 209 0.58707865 Z5%/2= 1.96 202 0.56741573 62 0.1741573 118 0.33146067 no se rechaza que lo nùmeros del conjunto ri son indepe 167 0.46910112 You're Reading a Preview Unlock full access with a free trial.

B) PRUEBAS DE CORRIDAS ARRIBA Y DEBAJO DE LA MEDIA S= { 0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0} Co= n0= n1=

9 10 6



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dientes




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TD 1P TD T TD 1P TD 1P TD TD 1P

TD TD TD TD 2P TD TD T 1P TD 1P

1P TD 2P TD T TD TD 1P TD TD TD

1P TD TD 1P TD TD TD 1P T 1P 1P

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11.8336 12.3904 9.1809 16.3216 0.0121

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55.44 47.52 2.97 3.96 0.11

1P 1P TD 1P T TD 1P TD 1P 1P TD

2P T 1P TD T 1P TD TD TD 1P 1P

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You're Reading a Preview X²=

11.07

Unlock full access with a free trial.

el estadistico 7,797017797 es menor que x² = 11,07 por lo tanto se ace



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1P TD 2P TD 1P 1P TD TD 1P TD 2P


1P 1P 1P 1P TD TD TD 2P TD TD TD

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1P 1P 1P TD TD 1P TD 1P TD 1P TD


ta que los numeros del conjunto ri son independientes



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9.Sheet Music

12808 69033 40909 34089 46302 30398 93165 11500 52476 27722

60889 41046 63569 13191 48360 85061 36933 30430 17440 55864

26283 60884 12156 17046 42288 50230 71184 51163 11274 47513

46160 14974 49935 86429 45982 16918 30569 81305 16008 48928

18367 10165 55691 77515 12276 48906 29389 74140 53623 54051

media

42650.74

prueba de corridas arriba y abajo S={ 1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1} Co= α=

31 5% 33

You're Reading a Preview 8.5666

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Download With Free Trial -0.2334 Z5%/2=

1.96

 Sign up to los votenumeros on this title el estadistico Zo es menor que el de la tabla por lo tanto no se rechaza que del conjunt  Useful  Not useful

B) PRUEBAS DE CORRIDAS ARRIBA Y DEBAJO DE LA MEDIA

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como 0,208113 cae dentro del intervalo ± 1,96 no se puede rechazar que los numeros del conjunto r Sheet Music

PRUEBA DE POKER 12808 69033 40909 34089 46302 30398 93165 11500 52476 27722

60889 41046 63569 13191 48360 85061 36933 30430 17440 55864

26283 60884 12156 17046 42288 50230 71184 51163 11274 47513

1P 1P 2P TD TD 1P TD 2P TD TP

1P 1P 1P T TD TD T 2P 1P 1P

1P 1P 1P TD 2P 1P 1P 1P 1P TD

CATEGORIA TD 1P 2P TP T P

Oi

Ei 15 27 5 1 2 0

46160 14974 49935 86429 45982 16918 30569 81305 16008 48928

18367 10165 55691 77515 12276 48906 29389 74140 53623 54051

1P TD TD 1P 1P 1P TD 2P TD 1P 1P TD TD 1Pa Preview You're Reading TD 1P Unlock full access with a free trial. 1P 1P 1P 1P


15.12 25.2 5.4 0.45 3.6 0 225

(Ei-Oi)²/Ei 0.00095238 0.12857143 0.02962963 0.67222222 0.71111111 0 225


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son independientes


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i son independientes Sheet Music




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11.S={ 1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0} Co=28

no=24

n1=26 25.46

12.2049

0.208113

como 0,208113 cae dentro del intervalo ± 1,645 no se puede rechazar que los numeros del conjunto




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ri son independientes




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13.0.17290993 0.16042939 0.62402592 0.81520631 0.85160568 0.72274065 0.86531546 0.63997937 0.85714119 0.04051174 0.01288959 0.51213024 0.48605289 0.85387667 0.14489023 0.15912427 0.19406343 0.82284107 0.86329047 0.47650883 0.4970492 0.35475831 0.66041721 0.3776478 0.56066975 0.77996415 0.48401775 0.02665725 0.57196768 0.01517334 0.9811446 0.75319026


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1.2

0.17290993 0.16042939 0.62402592 0.81520631 0.85160568 0.72274065 0.86531546 0.63997937 0.85714119 0.04051174 0.01288959 0.51213024 0.48605289 0.85387667 0.14489023 0.15912427 0.19406343 0.82284107 0.86329047 0.47650883 0.4970492 0.35475831 0.66041721 0.3776478 0.56066975 0.77996415 0.48401775 0.02665725 0.57196768 0.01517334 0.9811446

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0.89566325 0.25056987 0.8805374 0.66977257 0.58468762 0.58119371 0.83909218 0.14400236 0.81671119 0.05185475 0.42871422 0.81989216 0.63218915 0.44464372 0.53273274 0.5890644 0.49145085 0.82481571 0.80171751 0.19835038 0.22397893 0.16060039 0.31779787 0.35939353 0.52039555 0.05120661 0.99755196 0.87248859 0.8256951 0.1642297 0.72321352 0.48371379 0.06930395


0.92352182 0.89566325 0.25056987 0.8805374 0.66977257 0.58468762 0.58119371 0.83909218 0.14400236 0.81671119 0.05185475 0.42871422 0.81989216 0.63218915 0.44464372 0.53273274 0.5890644 0.49145085 0.82481571 0.80171751 0.19835038 0.22397893 0.16060039 0.31779787 0.35939353 0.52039555 0.05120661 0.99755196 0.87248859 0.8256951 0.1642297 0.72321352 0.48371379

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0.04384257 0.72302802 0.27326311 0.79826754 0.80981969 0.5805857 0.88185438 0.54066489 0.93928197 0.48009287 0.75534748 0.6122683 0.4343608 0.0006021 0.66236315 0.45592499 0.47029833 0.02683463 0.13193598 0.62868512 0.94617882 0.52296973 0.53301243 0.97317395 0.01227297 0.10073448 0.40023077 0.32989144 0.25149393 0.10777585 0.80231173 0.57162939 0.85102049


0.11090658 0.04384257 0.72302802 0.27326311 0.79826754 0.80981969 0.5805857 0.88185438 0.54066489 0.93928197 0.48009287 0.75534748 0.6122683 0.4343608 0.0006021 0.66236315 0.45592499 0.47029833 0.02683463 0.13193598 0.62868512 0.94617882 0.52296973 0.53301243 0.97317395 0.01227297 0.10073448 0.40023077 0.32989144 0.25149393 0.10777585 0.80231173 0.57162939

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0.04403977 0.88530532 0.85449299 0.70439849 0.73521796 0.17522527 0.32728047 0.58930723 0.62868995 0.04860771 0.20058971 0.94852377 0.61533856 0.10463395 0.2844702 0.96936768 0.90795235 0.05796875 0.14363351 0.80870986 0.71090954 0.79031776 0.00149336 0.5631049 0.32924621 0.42411743 0.93795346 0.63859925 0.59967688 0.43191973 0.3293606 0.98032517 0.62210106


0.66224104 0.04403977 0.88530532 0.85449299 0.70439849 0.73521796 0.17522527 0.32728047 0.58930723 0.62868995 0.04860771 0.20058971 0.94852377 0.61533856 0.10463395 0.2844702 0.96936768 0.90795235 0.05796875 0.14363351 0.80870986 0.71090954 0.79031776 0.00149336 0.5631049 0.32924621 0.42411743 0.93795346 0.63859925 0.59967688 0.43191973 0.3293606 0.98032517

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0.02080433 0.50812196 0.15006832 0.39807127 0.32199798 0.0227408 0.95929012 0.09135625 0.52748749 0.92085098 0.7932655 0.31325179 0.01545468


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0.54747816 0.02080433 0.50812196 0.15006832 0.39807127 0.32199798 0.0227408 0.95929012 0.09135625 0.52748749 0.92085098 0.7932655 0.31325179 0.01545468




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Series1



0.6 eje x

0.8

1


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15.Sheet Music

CATEGORIA TD 1P T 35721 39601 400

Oi

Ei 13851 5464 215

X²=

(Ei-Oi)²/Ei 14040 2.54423077 5265 7.52155745 195 2.05128205 12.1170703 7.815

el estadistico 12,1170703 es mayor que x² = 7,815 por lo tanto no se acepta que los numeros del co




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junto ri son independientes




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17.Sheet Music

si aceptaria la hipotesis de independencia




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19.n=

357500

2p

17500

CATEGORIA

2p

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Oi

PROBA.

0.108


Guia Laboratorio 02

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E 1

17500

38610

11541.88293

Se rechaza la hipotesis de independencia




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21.Sheet Music

92 88 96 100

85 98 91 85

90 93 86 84

93 90 88 81

Ho= independiente H1= dependiente intervalo

Oi 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Ei=n-1/m 100 85 84 81 96 91 86 88 88 98 93 90 92 85 90 93 1440

90 1.11111111 90 0.27777778 90 0.4 90 0.9 90 0.4 90 0.01111111 90 0.17777778 90 0.04444444 90 0.04444444 90 You're 0.71111111 Reading a Preview 90 0.1 Unlock full access with a free trial. 90 0 90 0.04444444 With Free Trial 90 Download 0.27777778 90 0 90 0.1 1440 4.6 Sign up to vote on this title x²=

24.996

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mi X² de tablas es mayor que la calculada por lo tanto Ho se acepta

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23.0.52220543 0.35141018 0.58541118 0.37872994 0.46223393 0.09412615 0.22364802 0.6011947 0.25278556 0.96857426


0.46689069 0.71734213 0.37860494 0.83575505 0.43861372 0.62672139 0.43647084 0.50491705 0.88524578 0.97309479

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0.63429937 0.47060916 0.72001898 0.31540443 0.22095392 0.92516847 0.15761661 0.28650269 0.37547834 0.1429841

0.39893586 0.70597023 0.52631862 0.96674142 0.84355334 0.89429724 0.24632912 0.91182324 0.0496024 0.80307218

Guia Laboratorio 02

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0.51210733 0.10770064 0.5135264 0.27784772 0.53482743 0.70642959 0.70663406 0.68419365 0.15112422 0.30080196

0.56304921 0.29561921 0.65878476 0.32454468 0.58450083 0.76518771 0.37601083 0.77578796 0.91727914 0.81154537

0.50121769 0.03849417 0.61753945 0.05910183 0.54843791 0.36766605 0.43527693 0.81282921 0.85471327 0.413145

prueba de medias

prueba de varianza

prueba de un

Ho: µri=o.5 H1: µri≠o.5

Ho: σ²ri=1/12 H1: σ²ri≠1/12

Ho= ri es unif H1= ri no es

media= LI= LS= Ho se acepta

0.494689469 0.443419674 0.556580326

varianza= LI= LS=

0.073626169 0.10809638 0.061755051

Ho se acepta You're Reading a Preview Unlock full access with a free trial.


intervalo [0,00-0,10) [0,10-0,20) [0,20-0,30) [0,30-0,40) [0,40-0,50) [0,50-0,60) [0,60-0,70) [0,70-0,80) [0,80-0,90) [0,90-1,00)


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0.83547372 0.57599083 0.50131548 0.34635999 0.34206261 0.48331544 0.36022558 0.13957648 0.00497052 0.36762767

0.27779852 0.43133477 0.14648457 0.25042406 0.17002028 0.85698325 0.97066179 0.92599652 0.07056533 0.54401853

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0.05367221 0.08488553 0.80776662 0.09392422 0.68880564 0.20373336 0.37330809 0.85315665 0.33293005 0.85997823

ormidad rme niforme Oi

(Ei-Oi)²/Ei

Ei=n/m 9 7 10 16 9 14 7 7 13 8 100

10 10 10 10 10 10 10 10 10 10 100

0.1 0.9 0 3.6 You're Reading a Preview 0.1 Unlock full access with a free trial. 1.6 0.9 0.9 Download With Free Trial 0.9 0.4 9.4 Sign up to vote on this title x²= 123.2222  Useful  Not useful es menor que la de tablas por lo tanto se acepta Ho

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algunos ejercicios resueltos Entrega Final Simulacion

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25.ho= independientes h1= dependientes ≥5 (0.5,0.8) S={ 1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1} 0.5858 0.6213 0.1931 0.1242 0.8658

0.8863 0.436 0.0843 0.8826 0.4028

H= Tamaño del hueco 0 1 2 3 4 5

12

0.8378 0.6279 0.9152 0.9921 0.6136

0.3203 0.8415 0.6093 0.8523 0.872

0.4115 0.5786 0.7587 0.7723 0.1126

α=

0.271 0.0543 0.4515 0.854 0.5857

0.9238 0.3567 0.3203 0.4722 0.9172

0.5 β=

0.8

Ei= (h)(β-α)(1-(β-α))i

Oi

You're Reading a Preview

3 2 2 1 0 4 12

3.6 0.1 Unlock full access with a free trial. 2.52 0.10730159 1.764 0.0315737 Download With Free Trial 1.2348 0.04464775 0.86436 0.86436 2.01684 1.95004244 X0= 3.09792547 Sign up to vote on this title

 X^2α,m-1=

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