第4章 概率与概率分布计算结果.xls

0品牌得分概率得分乘概率离差平方乘积n=10n=100 240.100.400.4209 130.200.600.22116 220.350.700.00437 210.250.250.23424 200.10-0.38114 1合计1.001.95001.247510100 3 1均值1.95 1方差1.25 1 2频率分布 3品牌得分n=10n=100n=1000概率 040.000.090.100.10 030.100.160.180.20 120.400.370.350.35 310.400.240.250.25 100.100.140.110.10 4合计1.001.001.001.00 0 4均值1.50001.82001.9060 2方差0.72221.30061.2804 3 3 0 2 1 3 2-2.91649485 0-0.828654265 21.399625944 2-0.04886374 2-0.999075382 2 1 2 2 2 4 1 2 2 1 2 2 3 1 2 0 0 1 3 1 1 2 2 0 3 2 2 2 0 1 1 4 2 4 1 3 3 0 3 3 2 1 4 1 0 1 4 1 0 2 2 2 2 4 2 3 2 1 4 1 3 3 2 0 2 2 2 2 2 1 4 2 2 1 1 2 1 1 1 1 3 2 3 0 4 1 3 1 1 2 3 2 4 1 1 1 1 2 1 0 4 2 4 2 3 4 4 2 4 4 1 3 2 3 2 3 1 2 3 3 1 2 1 1 0 2 2 2 0 3 1 2 2 1 1 1 0 4 1 4 1 1 2 2 0 0 1 4 4 2 3 4 1 2 1 2 2 4 0 3 0 2 2 3 3 2 2 1 2 3 2 1 0 1 2 2 1 1 4 2 1 0 3 2 2 1 1 1 1 1 2 2 2 2 3 2 1 2 4 1 3 2 2 1 1 2 2 3 1 1 3 0 1 1 0 0 3 3 0 2 3 2 1 0 1 0 0 1 1 3 3 1 2 1 2 0 4 3 4 3 2 3 3 1 2 2 2 2 2 1 2 2 3 4 2 2 0 3 3 2 3 1 2 1 2 1 4 2 1 1 3 4 2 1 1 0 2 4 1 2 1 4 3 2 4 0 2 1 2 3 2 2 3 3 1 1 3 3 1 3 0 0 2 1 1 3 1 2 2 3 3 4 3 2 3 2 0 3 2 0 2 0 2 2 1 4 4 0 3 3 3 2 1 1 2 3 2 2 1 3 0 2 2 3 1 3 3 3 1 2 3 3 4 2 4 3 3 1 2 1 4 2 3 0 0 2 1 3 0 2 4 4 1 3 2 0 2 3 3 2 1 1 1 2 1 1 2 1 3 1 2 3 2 1 0 1 2 1 3 2 2 3 2 1 2 1 0 4 2 1 2 2 3 1 3 3 0 4 2 2 2 2 4 2 2 1 0 2 1 2 2 3 1 2 1 4 3 1 2 0 1 2 0 0 1 1 2 2 2 4 2 0 2 2 1 1 3 2 2 2 4 1 0 2 2 2 1 1 1 0 4 3 1 1 1 2 3 3 4 2 2 4 2 3 1 1 0 1 2 2 2 2 2 2 4 3 2 3 2 2 3 2 1 2 4 2 1 1 3 2 0 3 1 4 2 2 0 2 3 2 0 3 3 2 2 2 1 4 2 2 1 2 3 2 0 0 1 2 2 1 1 3 2 0 1 2 2 4 1 3 0 3 3 0 1 1 3 4 2 3 3 1 1 4 0 2 3 0 4 0 0 2 3 2 1 2 2 3 2 0 0 0 2 2 1 3 1 0 3 1 2 2 1 4 3 4 1 0 2 3 4 1 2 2 2 1 3 0 3 1 2 4 1 3 2 1 2 2 2 4 0 2 2 4 2 3 1 4 4 2 1 1 3 4 1 3 1 1 3 1 1 2 4 1 1 1 2 1 2 3 1 4 3 2 2 2 2 3 2 2 2 2 2 2 3 4 3 2 1 0 4 2 4 3 2 2 0 2 3 2 1 0 3 2 2 2 2 2 3 2 2 0 2 4 3 2 2 4 1 1 4 3 2 2 2 2 1 1 3 0 2 2 2 2 2 1 4 2 0 2 1 2 2 3 2 3 0 1 3 2 3 3 0 1 1 2 2 1 2 0 1 4 2 1 2 3 2 2 1 2 1 1 0 1 4 0 1 0 2 4 2 2 4 2 4 1 1 3 4 3 2 0 3 1 2 1 2 1 2 2 1 3 1 2 2 3 2 4 2 0 0 2 3 4 0 1 3 1 4 2 1 2 0 2 1 1 4 1 1 0 2 2 0 2 2 2 1 2 2 1 4 3 2 2 1 1 2 2 3 1 1 3 1 0 2 2 2 3 0 2 2 3 1 0 1 1 2 1 3 3 2 3 1 1 3 2 4 0 2 1 4 3 2 1 2 4 2 4 4 0 2 0 2 1 1 2 4 2 3 3 2 0 1 2 1 2 2 4 2 2 2 0 4 2 2 3 1 3 3 3 2 0 1 1 2 0 2 3 4 1 2 2 0 1 0 3 2 3 0 4 2 3 1 0 1 1 2 0 3 3 2 2 1 3 3 2 1 1 1 4 0 3 2 3 4 2 0 1 3 4 3 3 1 2 2 1 2 1 2 2 1 2 2 3 2 1 1 n=1000 101 181 354 251 113 1000 x一般正态分布 标准正态分布 均值1 -5 6.07588e-09 1.48672e-06 标准差1 -4.9 1.10158e-08 2.43896e-06 -4.8 1.97732e-083.9613e-06 -4.7 3.51396e-08 6.36983e-06 -4.6 6.18262e-08 1.01409e-05 -4.5 1.07698e-07 1.59837e-05 -4.4 1.85736e-07 2.49425e-05 -4.3 3.17135e-07 3.85352e-05 -4.2 5.36104e-07 5.89431e-05 -4.1 8.97244e-07 8.92617e-05 -4 1.48672e-060.00013383 -3.9 2.43896e-06 0.000198655 -3.83.9613e-06 0.000291947 -3.7 6.36983e-060.00042478 -3.6 1.01409e-05 0.000611902 -3.5 1.59837e-05 0.000872683 -3.4 2.49425e-05 0.001232219 -3.3 3.85352e-05 0.001722569 -3.2 5.89431e-05 0.002384088 -3.1 8.92617e-05 0.003266819 -30.00013383 0.004431848 -2.9 0.000198655 0.005952532 -2.8 0.000291947 0.007915452 -2.70.00042478 0.010420935 -2.6 0.000611902 0.013582969 -2.5 0.0008726830.0175283 -2.4 0.0012322190.02239453 -2.3 0.001722569 0.028327038 -2.2 0.002384088 0.035474593 -2.1 0.003266819 0.043983596 -2 0.004431848 0.053990967 -1.9 0.005952532 0.065615815 -1.8 0.007915452 0.078950158 -1.7 0.010420935 0.094049077 -1.6 0.013582969 0.110920835 -1.50.0175283 0.129517596 -1.40.02239453 0.149727466 -1.3 0.028327038 0.171368592 -1.2 0.035474593 0.194186055 -1.1 0.043983596 0.217852177 -1 0.053990967 0.241970725 -0.9 0.0656158150.26608525 -0.8 0.078950158 0.289691553 -0.7 0.094049077 0.312253933 -0.6 0.110920835 0.333224603 -0.5 0.129517596 0.352065327 -0.4 0.1497274660.36827014 -0.3 0.171368592 0.381387815 -0.2 0.194186055 0.391042694 -0.1 0.217852177 0.396952547 0 0.2419707250.39894228 0.10.26608525 0.396952547 0.2 0.289691553 0.391042694 0.3 0.312253933 0.381387815 0.4 0.3332246030.36827014 0.5 0.352065327 0.352065327 6543210-1-2-3-4-5-6 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 一般正态分布标准正态分布 0.60.36827014 0.333224603 0.7 0.381387815 0.312253933 0.8 0.391042694 0.289691553 0.9 0.3969525470.26608525 10.39894228 0.241970725 1.1 0.396952547 0.217852177 1.2 0.391042694 0.194186055 1.3 0.381387815 0.171368592 1.40.36827014 0.149727466 1.5 0.352065327 0.129517596 1.6 0.333224603 0.110920835 1.7 0.312253933 0.094049077 1.8 0.289691553 0.078950158 1.90.26608525 0.065615815 2 0.241970725 0.053990967 2.1 0.217852177 0.043983596 2.2 0.194186055 0.035474593 2.3 0.171368592 0.028327038 2.4 0.1497274660.02239453 2.5 0.1295175960.0175283 2.6 0.110920835 0.013582969 2.7 0.094049077 0.010420935 2.8 0.078950158 0.007915452 2.9 0.065615815 0.005952532 3 0.053990967 0.004431848 3.1 0.043983596 0.003266819 3.2 0.035474593 0.002384088 3.3 0.028327038 0.001722569 3.40.02239453 0.001232219 3.50.0175283 0.000872683 3.6 0.013582969 0.000611902 3.7 0.0104209350.00042478 3.8 0.007915452 0.000291947 3.9 0.005952532 0.000198655 4 0.0044318480.00013383 4.1 0.003266819 8.92617e-05 4.2 0.002384088 5.89431e-05 4.3 0.001722569 3.85352e-05 4.4 0.001232219 2.49425e-05 4.5 0.000872683 1.59837e-05 4.6 0.000611902 1.01409e-05 4.70.00042478 6.36983e-06 4.8 0.0002919473.9613e-06 4.9 0.000198655 2.43896e-06 50.00013383 1.48672e-06 x二项分布正态分布n1000 0 1.23023e-97 0 p 0.2 1 3.07558e-950 均值200 =e1*e2 2 3.84063e-930 标准差12.6491106 =sqrt(e3*(1-e2) 3 3.19412e-910 4 1.99034e-890 5 9.91189e-880 64.1093e-860 71.4588e-840 8 4.52685e-830 91.2474e-810 10 3.09043e-800 11 6.95346e-790 121.4327e-770 13 2.72214e-760 14 4.79776e-750 15 7.88433e-740 16 1.21345e-720 17 1.75593e-710 18 2.39733e-700 193.0976e-690 20 3.79844e-680 21 4.43151e-670 22 4.93006e-660 23 5.24086e-650 24 5.33367e-640 25 5.20566e-630 26 4.88031e-620 27 4.40131e-610 28 3.82364e-600 29 3.20395e-590 30 2.59253e-580 31 2.02803e-570 32 1.53528e-560 33 1.12587e-550 34 8.00528e-550 35 5.52364e-540 36 3.70161e-530 37 2.41105e-520 38 1.52752e-510 39 9.41974e-510 40 5.65773e-500 41 3.31184e-490 42 1.89051e-480 43 1.05297e-470 44 5.72552e-470 45 3.04089e-460 46 1.57829e-450 47 8.00897e-450 48 3.97529e-440 49 1.93085e-430 50 9.18121e-430 51 4.27556e-420 52 1.95072e-410 53 8.72305e-410 54 3.82441e-400 551.6445e-390 120010008006004002000 0.0000 0.0050 0.0100 0.0150 0.0200 0.0250 0.0300 0.0350 二项分布正态分布 56 6.93772e-390 57 2.87246e-380 58 1.16756e-370 59 4.66033e-370 60 1.82724e-360 61 7.03936e-360 62 2.66531e-350 63 9.92086e-350 64 3.63119e-340 65 1.30723e-330 66 4.62977e-330 67 1.61351e-320 68 5.53457e-320 69 1.86892e-310 70 6.21416e-310 71 2.03492e-300 72 6.56403e-300 732.0861e-290 74 6.53316e-290 75 2.01657e-280 76 6.13594e-280 77 1.84078e-270 78 5.44565e-270 79 1.58889e-260 80 4.57302e-260 81 1.29851e-250 82 3.63821e-250 83 1.00599e-240 84 2.74551e-240 85 7.39672e-240 86 1.96744e-230 87 5.16736e-230 88 1.34028e-220 89 3.43353e-220 90 8.68875e-220 91 2.17219e-210 92 5.36554e-210 93 1.30965e-200 94 3.15919e-200 95 7.53217e-200 96 1.77516e-191.11022e-16 97 4.13594e-191.11022e-16 98 9.52744e-191.11022e-16 99 2.17014e-183.33067e-16 100 4.88824e-186.66134e-16 101 1.08896e-171.22125e-15 102 2.39946e-172.22045e-15 103 5.22988e-173.9968e-15 104 1.12769e-167.43849e-15 105 2.40575e-161.35447e-14 106 5.07817e-162.44249e-14 107 1.06072e-154.39648e-14 108 2.19265e-157.86038e-14 109 4.48587e-151.39666e-13 110 9.08389e-152.4647e-13 111 1.82087e-144.32321e-13 112 3.61329e-147.5373e-13 113 7.09867e-141.30551e-12 114 1.38082e-132.24754e-12 115 2.65957e-133.84504e-12 116 5.07268e-136.53744e-12 117 9.58172e-131.10456e-11 118 1.79251e-121.85467e-11 119 3.32142e-123.09477e-11 120 6.09619e-125.13195e-11 1211.1084e-118.45717e-11 122 1.99648e-111.38503e-10 123 3.56282e-112.25413e-10 124 6.29959e-113.64579e-10 125 1.10369e-105.85994e-10 126 1.91613e-109.36018e-10 127 3.29664e-101.48582e-09 128 5.62103e-102.34388e-09 129 9.49911e-103.67447e-09 1301.5911e-095.72459e-09 131 2.64171e-098.86306e-09 132 4.34782e-091.36368e-08 133 7.09381e-092.08512e-08 134 1.14745e-083.1684e-08 135 1.84017e-084.78451e-08 1362.926e-087.18e-08 137 4.61326e-081.07078e-07 1387.2124e-081.58697e-07 139 1.11818e-072.33735e-07 1401.7192e-073.42113e-07 141 2.62148e-074.97628e-07 142 3.96453e-077.19332e-07 1435.9468e-071.03334e-06 144 8.84792e-071.47519e-06 145 1.30583e-062.09286e-06 146 1.91179e-062.95068e-06 147 2.77665e-064.13421e-06 148 4.00081e-065.75643e-06 149 5.71928e-067.9653e-06 150 8.11185e-061.09532e-05 151 1.14157e-051.49682e-05 152 1.59406e-052.03275e-05 153 2.20877e-050.000027434 154 3.03706e-053.67946e-05 155 4.14411e-054.90418e-05 156 5.61182e-056.49587e-05 1570.000075428.55061e-05 1580.00010060.000111852 159 0.0001331840.000145406 160 0.0001750120.000187848 161 0.0002282770.000241168 162 0.0002955620.000307694 163 0.0003798790.000390129 164 0.0004846930.000491569 165 0.0006139440.000615529 166 0.0007720530.00076595 167 0.0009639110.000947196 168 0.0011948480.001164037 169 0.0014705820.001421611 170 0.0017971380.00172537 171 0.0021807380.002080994 172 0.0026276620.002494288 173 0.0031440810.002971046 174 0.0037358550.003516894 175 0.0044083090.004137101 176 0.0051659870.004836375 177 0.0060123920.005618633 178 0.0069497170.006486767 179 0.0079785850.007442398 180 0.0090978040.008485635 181 0.0103041420.009614855 1820.011592160.010826501 1830.012954080.012114919 184 0.0143797330.013472243 185 0.0158565710.014888345 186 0.0173697650.01635084 187 0.0189023910.017845177 188 0.0204356970.019354808 189 0.0219494520.020861429 190 0.0234223760.022345313 191 0.0248326240.023785704 192 0.0261583240.025161278 193 0.0273781420.026450653 194 0.0284718570.027632937 195 0.0294209190.028688283 196 0.0302089790.029598443 197 0.0308223590.030347298 198 0.0312504480.030921338 199 0.0314860040.03131008 200 0.0315253610.031506402 201 0.0313685190.031506402 202 0.0310191170.03131008 203 0.0304843040.030921338 204 0.0297744980.030347298 2050.028903050.029598443 206 0.0278858310.028688283 2070.026740760.027632937 208 0.0254872870.026450653 209 0.0241458510.025161278 210 0.0227373430.023785704 211 0.0212825840.022345313 212 0.0198018380.020861429 213 0.0183143760.019354808 214 0.0168381010.017845177 215 0.0153892410.01635084 216 0.0139821230.014888345 217 0.0126290140.013472243 218 0.0113400440.012114919 2190.010123190.010826501 220 0.0089843310.009614855 221 0.0079273510.008485635 222 0.0069542860.007442398 2230.006065510.006486767 224 0.0052599340.005618633 225 0.0045352320.004836375 226 0.0038880590.004137101 2270.003314270.003516894 228 0.0028091350.002971046 229 0.0023675240.002494288 230 0.0019840880.002080994 231 0.0016534070.00172537 232 0.0013701180.001421611 233 0.0011290250.001164037 234 0.0009251730.000947196 235 0.0007539170.00076595 236 0.0006109610.000615529 237 0.0004923780.000491569 238 0.0003946260.000390129 239 0.0003145450.000307694 240 0.0002493430.000241168 241 0.0001965770.000187848 242 0.0001541340.000145406 243 0.0001201990.000111852 244 9.32284e-058.55061e-05 245 7.19191e-056.49587e-05 246 5.51818e-054.90418e-05 247 4.21124e-053.67946e-05 248 3.19664e-050.000027434 249 2.41353e-052.03275e-05 250 1.81256e-051.49682e-05 2510.000013541.09532e-05 252 0.0000100617.9653e-06 253 7.43639e-065.75643e-06 2545.4675e-064.13421e-06 255 3.99878e-062.95068e-06 256 2.90927e-062.09286e-06 257 2.10554e-061.47519e-06 258 1.51591e-061.03334e-06 259 1.08572e-067.19332e-07 260 7.73574e-074.97628e-07 261 5.48319e-073.42113e-07 262 3.86648e-072.33735e-07 263 2.71242e-071.58697e-07 264 1.89304e-071.07078e-07 265 1.31441e-077.18e-08 266 9.07984e-084.78451e-08 267 6.24026e-083.1684e-08 2684.2669e-082.08512e-08 269 2.90276e-081.36368e-08 270 1.96474e-088.86306e-09 271 1.32312e-085.72459e-09 272 8.86537e-093.67447e-09 273 5.91024e-092.34388e-09 274 3.92039e-091.48582e-09 275 2.58746e-099.36018e-10 276 1.69919e-095.85994e-10 2771.1103e-093.64579e-10 278 7.21896e-102.25413e-10 279 4.67033e-101.38503e-10 280 3.00652e-108.45717e-11 281 1.92589e-105.13195e-11 282 1.22758e-103.09477e-11 283 7.78626e-111.85467e-11 284 4.91439e-111.10456e-11 285 3.08658e-116.53744e-12 286 1.92911e-113.84504e-12 287 1.19981e-112.24754e-12 288 7.42593e-121.30551e-12 289 4.57376e-127.5373e-13 2902.8034e-124.32321e-13 291 1.70998e-122.4647e-13 292 1.03799e-121.39666e-13 293 6.27046e-137.86038e-14 294 3.76974e-134.39648e-14 295 2.25545e-132.44249e-14 296 1.34299e-131.35447e-14 297 7.95843e-147.43849e-15 298 4.69361e-143.9968e-15 299 2.75494e-142.22045e-15 300 1.60935e-141.22125e-15 301 9.35666e-156.66134e-16 302 5.41416e-153.33067e-16 303 3.11806e-151.11022e-16 304 1.78724e-151.11022e-16 305 1.01961e-151.11022e-16 306 5.78943e-160 307 3.27188e-160 308 1.84043e-160 3091.0304e-160 310 5.74201e-170 311 3.18487e-170 312 1.75832e-170 313 9.66231e-180 314 5.28504e-180 315 2.87741e-180 316 1.55936e-180 317 8.41167e-190 318 4.51664e-190 319 2.41407e-190 320 1.28436e-190 3216.8019e-200 322 3.58579e-200 3231.8817e-200 324 9.82959e-210 325 5.11138e-210 326 2.64585e-210 327 1.36338e-210 328 6.99356e-220 329 3.57118e-220 330 1.81535e-220 331 9.18643e-230 3324.6278e-230 333 2.32085e-230 334 1.15869e-230 335 5.75885e-240 336 2.84943e-240 337 1.40358e-240 338 6.88293e-250 339 3.36025e-250 340 1.63318e-250 341 7.90249e-260 342 3.80683e-260 343 1.82572e-260 3448.7173e-270 345 4.14387e-270 346 1.96115e-270 3479.2406e-280 348 4.33485e-280 349 2.02459e-280 350 9.41432e-290 351 4.35848e-290 352 2.00899e-290 353 9.21972e-300 354 4.21268e-300 355 1.91647e-300 356 8.68066e-310 357 3.91481e-310 358 1.75784e-310 359 7.85885e-320 360 3.49828e-320 361 1.55048e-320 362 6.84226e-330 363 3.00645e-330 364 1.31532e-330 365 5.72975e-340 366 2.48524e-340 367 1.07333e-340 368 4.61559e-350 369 1.97632e-350 370 8.42609e-360 371 3.57711e-360 3721.5121e-360 3736.3646e-370 374 2.66752e-370 375 1.11324e-370 376 4.62618e-380 377 1.91428e-380 378 7.88755e-390 379 3.23618e-390 380 1.32215e-390 381 5.37883e-400 382 2.17899e-400 383 8.78992e-410 384 3.53085e-410 385 1.41234e-410 386 5.62557e-420 387 2.23133e-420 388 8.81318e-430 389 3.46637e-430 390 1.35766e-430 391 5.29522e-440 392 2.05663e-440 393 7.95438e-450 394 3.06365e-450 395 1.17505e-450 396 4.48802e-460 397 1.70703e-460 3986.4657e-470 399 2.43882e-470 4009.1608e-480 401 3.42673e-480 4021.2765e-480 403 4.73541e-490 4041.7494e-490 405 6.43608e-500 406 2.35805e-500 407 8.60369e-510 408 3.12622e-510 409 1.13125e-510 410 4.07663e-520 411 1.46302e-520 412 5.22889e-530 413 1.86113e-530 414 6.59712e-540 415 2.32886e-540 416 8.18741e-550 417 2.86658e-550 4189.9953e-560 419 3.47092e-560 420 1.20036e-560 421 4.13426e-570 422 1.41809e-570 4234.8443e-580 424 1.64809e-580 425 5.58412e-590 426 1.88431e-590 427 6.33252e-600 428 2.11947e-600 429 7.06491e-610 430 2.34538e-610 431 7.75446e-620 432 2.55341e-620 433 8.37376e-630 434 2.73498e-630 435 8.89654e-640 436 2.88219e-640 437 9.29952e-650 438 2.98837e-650 439 9.56416e-660 440 3.04858e-660 441 9.67802e-670 442 3.05996e-670 443 9.63577e-680 444 3.02203e-680 4459.4396e-690 446 2.93665e-690 447 9.09901e-700 4482.8079e-700 449 8.63006e-710 450 2.64176e-710 451 8.05414e-720 452 2.44564e-720 453 7.39631e-730 454 2.22785e-730 455 6.68358e-740 4561.997e-740 457 5.94278e-750 458 1.76096e-750 459 5.19501e-760 460 1.52237e-760 461 4.45814e-770 462 1.08358e-770 46300 46400 46500 46600 46700 46800 46900 47000 47100 47200 47300 47400 47500 47600 47700 47800 47900 48000 48100 48200 48300 48400 48500 48600 48700 48800 48900 49000 49100 49200 49300 49400 49500 49600 49700 49800 49900 50000 50100 50200 50300 50400 50500 50600 50700 50800 50900 51000 51100 51200 51300 51400 51500 51600 51700 51800 51900 52000 52100 52200 52300 52400 52500 52600 52700 52800 52900 53000 53100 53200 53300 53400 53500 53600 53700 53800 53900 54000 54100 54200 54300 54400 54500 54600 54700 54800 54900 55000 55100 55200 55300 55400 55500 55600 55700 55800 55900 56000 56100 56200 56300 56400 56500 56600 56700 56800 56900 57000 57100 57200 57300 57400 57500 57600 57700 57800 57900 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