个体值/个体和概率分布

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  • 的数学意义为:获得一只个体值之和超过n的品种所需要捕获的个体的期望。例如在3项个体值随机取值的情况下,个体和57所对应的期望为3.9121。这意味着在3项个体值随机取值时,这3项之和大于57的概率为1/3.9121。当捕获了x只怪兽且x足够大时,共有x/3.9121只怪兽的对应3项个体值之和超过57。
  • aEb=

n(个体和) 6项个体值随机取值 5项个体值随机取值 4项个体值随机取值 3项个体值随机取值
p(出现概率) p p p
0 0.00% 1 0.00% 1 0.00% 1 0.00% 1
1 0.00% 1 0.00% 1 0.00% 1 0.01% 1.0001
2 0.00% 1 0.00% 1 0.00% 1 0.02% 1.0003
3 0.00% 1 0.00% 1 0.00% 1 0.03% 1.0006
4 0.00% 1 0.00% 1 0.00% 1.0001 0.05% 1.0011
5 0.00% 1 0.00% 1 0.01% 1.0001 0.06% 1.0017
6 0.00% 1 0.00% 1 0.01% 1.0002 0.09% 1.0026
7 0.00% 1 0.00% 1 0.01% 1.0003 0.11% 1.0037
8 0.00% 1 0.00% 1 0.02% 1.0005 0.14% 1.0051
9 0.00% 1 0.00% 1.0001 0.02% 1.0007 0.17% 1.0068
10 0.00% 1 0.00% 1.0001 0.03% 1.001 0.20% 1.0088
11 0.00% 1 0.00% 1.0001 0.04% 1.0013 0.24% 1.0112
12 0.00% 1 0.01% 1.0002 0.04% 1.0017 0.28% 1.0141
13 0.00% 1 0.01% 1.0003 0.05% 1.0023 0.32% 1.0174
14 0.00% 1 0.01% 1.0003 0.07% 1.0029 0.37% 1.0212
15 0.00% 1.0001 0.01% 1.0005 0.08% 1.0037 0.42% 1.0255
16 0.00% 1.0001 0.01% 1.0006 0.09% 1.0046 0.47% 1.0305
17 0.00% 1.0001 0.02% 1.0008 0.11% 1.0057 0.52% 1.036
18 0.00% 1.0001 0.02% 1.001 0.13% 1.007 0.58% 1.0423
19 0.00% 1.0002 0.03% 1.0013 0.15% 1.0085 0.64% 1.0493
20 0.01% 1.0002 0.03% 1.0016 0.17% 1.0102 0.71% 1.0571
21 0.01% 1.0003 0.04% 1.002 0.19% 1.0122 0.77% 1.0658
22 0.01% 1.0004 0.05% 1.0024 0.22% 1.0145 0.84% 1.0755
23 0.01% 1.0004 0.05% 1.0029 0.25% 1.017 0.92% 1.0862
24 0.01% 1.0006 0.06% 1.0036 0.28% 1.0199 0.99% 1.098
25 0.01% 1.0007 0.07% 1.0043 0.31% 1.0232 1.07% 1.1111
26 0.02% 1.0008 0.08% 1.0051 0.35% 1.0268 1.15% 1.1255
27 0.02% 1.001 0.09% 1.006 0.39% 1.0309 1.24% 1.1414
28 0.02% 1.0013 0.11% 1.0071 0.43% 1.0355 1.33% 1.159
29 0.03% 1.0015 0.12% 1.0084 0.47% 1.0406 1.42% 1.1784
30 0.03% 1.0018 0.14% 1.0098 0.52% 1.0463 1.51% 1.1998
31 0.04% 1.0022 0.16% 1.0114 0.57% 1.0526 1.61% 1.2234
32 0.04% 1.0026 0.18% 1.0132 0.62% 1.0595 1.70% 1.2494
33 0.05% 1.003 0.20% 1.0152 0.68% 1.0672 1.79% 1.278
34 0.05% 1.0036 0.22% 1.0175 0.74% 1.0757 1.87% 1.3093
35 0.06% 1.0042 0.25% 1.02 0.80% 1.085 1.94% 1.3434
36 0.07% 1.0049 0.27% 1.0228 0.86% 1.0952 2.01% 1.3806
37 0.08% 1.0057 0.30% 1.026 0.92% 1.1063 2.07% 1.4212
38 0.09% 1.0066 0.33% 1.0295 0.99% 1.1185 2.12% 1.4655
39 0.10% 1.0076 0.36% 1.0333 1.05% 1.1318 2.17% 1.5137
40 0.11% 1.0088 0.40% 1.0376 1.11% 1.1462 2.22% 1.5662
41 0.13% 1.0101 0.43% 1.0423 1.18% 1.1619 2.25% 1.6235
42 0.14% 1.0115 0.47% 1.0474 1.24% 1.179 2.28% 1.6859
43 0.16% 1.0131 0.51% 1.0531 1.31% 1.1975 2.31% 1.7542
44 0.17% 1.0149 0.55% 1.0592 1.37% 1.2175 2.33% 1.8288
45 0.19% 1.0169 0.60% 1.0659 1.44% 1.2391 2.34% 1.9104
46 0.21% 1.0191 0.64% 1.0733 1.50% 1.2626 2.34% 2
47 0.23% 1.0215 0.69% 1.0813 1.56% 1.2879 2.34% 2.0984
48 0.26% 1.0242 0.74% 1.0899 1.62% 1.3153 2.34% 2.2066
49 0.28% 1.0272 0.78% 1.0993 1.67% 1.3449 2.33% 2.326
50 0.31% 1.0304 0.83% 1.1095 1.73% 1.3768 2.31% 2.4578
51 0.33% 1.0339 0.88% 1.1205 1.78% 1.4114 2.28% 2.6039
52 0.36% 1.0378 0.94% 1.1323 1.83% 1.4487 2.25% 2.7662
53 0.39% 1.042 0.99% 1.1452 1.87% 1.4891 2.22% 2.9468
54 0.42% 1.0466 1.04% 1.159 1.91% 1.5328 2.17% 3.1483
55 0.45% 1.0516 1.10% 1.1739 1.95% 1.58 2.12% 3.374
56 0.49% 1.057 1.15% 1.1899 1.99% 1.6312 2.07% 3.6272
57 0.52% 1.0629 1.20% 1.2072 2.01% 1.6866 2.01% 3.9121
58 0.56% 1.0692 1.25% 1.2257 2.04% 1.7466 1.94% 4.2336
59 0.60% 1.0761 1.31% 1.2457 2.06% 1.8117 1.87% 4.5971
60 0.64% 1.0835 1.36% 1.2671 2.07% 1.8824 1.79% 5.0089
61 0.68% 1.0916 1.41% 1.2901 2.08% 1.9592 1.70% 5.4759
62 0.72% 1.1002 1.46% 1.3148 2.08% 2.0426 1.61% 6.0059
63 0.76% 1.1095 1.50% 1.3414 2.08% 2.1333 1.51% 6.6065
64 0.80% 1.1194 1.55% 1.3698 2.07% 2.2319 1.42% 7.2899
65 0.85% 1.1301 1.59% 1.4004 2.06% 2.3394 1.33% 8.0709
66 0.89% 1.1416 1.63% 1.4331 2.04% 2.4565 1.24% 8.9677
67 0.94% 1.154 1.67% 1.4683 2.01% 2.5844 1.15% 10.002
68 0.98% 1.1672 1.71% 1.506 1.99% 2.7241 1.07% 11.203
69 1.03% 1.1813 1.74% 1.5465 1.95% 2.877 0.99% 12.603
70 1.07% 1.1964 1.77% 1.59 1.91% 3.0446 0.92% 14.247
71 1.12% 1.2126 1.79% 1.6367 1.87% 3.2285 0.84% 16.19
72 1.16% 1.2299 1.82% 1.6868 1.83% 3.4308 0.77% 18.503
73 1.20% 1.2483 1.83% 1.7406 1.78% 3.6537 0.71% 21.278
74 1.25% 1.2681 1.85% 1.7985 1.73% 3.8997 0.64% 24.638
75 1.29% 1.2891 1.86% 1.8608 1.67% 4.1719 0.58% 28.744
76 1.33% 1.3116 1.87% 1.9278 1.62% 4.4735 0.52% 33.816
77 1.37% 1.3356 1.87% 2 1.56% 4.8087 0.47% 40.157
78 1.41% 1.3612 1.87% 2.0778 1.50% 5.1818 0.42% 48.188
79 1.45% 1.3885 1.87% 2.1617 1.44% 5.5984 0.37% 58.514
80 1.48% 1.4176 1.86% 2.2523 1.37% 6.0645 0.32% 72.018
81 1.51% 1.4487 1.85% 2.3502 1.31% 6.5873 0.28% 90.022
82 1.54% 1.4818 1.83% 2.4561 1.24% 7.1754 0.24% 114.57
83 1.57% 1.5172 1.82% 2.5707 1.18% 7.8386 0.20% 148.95
84 1.60% 1.555 1.79% 2.6949 1.11% 8.5885 0.17% 198.59
85 1.63% 1.5953 1.77% 2.8297 1.05% 9.439 0.14% 273.07
86 1.65% 1.6383 1.74% 2.9761 0.99% 10.406 0.11% 390.1
87 1.67% 1.6842 1.71% 3.1353 0.92% 11.509 0.09% 585.14
88 1.68% 1.7333 1.67% 3.3087 0.86% 12.77 0.06% 936.23
89 1.70% 1.7858 1.63% 3.4977 0.80% 14.217 0.05% 1638.4
90 1.71% 1.8419 1.59% 3.704 0.74% 15.881 0.03% 3276.8
91 1.71% 1.9019 1.55% 3.9295 0.68% 17.802 0.02% 8192
92 1.72% 1.9662 1.50% 4.1763 0.62% 20.026 0.01% 32768
93 1.72% 2.035 1.46% 4.4469 0.57% 22.61 0.00%
94 1.72% 2.1087 1.41% 4.7439 0.52% 25.625
95 1.71% 2.1878 1.36% 5.0705 0.47% 29.16
96 1.71% 2.2726 1.31% 5.4301 0.43% 33.325
97 1.70% 2.3636 1.25% 5.827 0.39% 38.262
98 1.68% 2.4615 1.20% 6.2656 0.35% 44.149
99 1.67% 2.5667 1.15% 6.7512 0.31% 51.213
100 1.65% 2.6799 1.10% 7.2901 0.28% 59.748
101 1.63% 2.8019 1.04% 7.8892 0.25% 70.139
102 1.60% 2.9334 0.99% 8.5566 0.22% 82.891
103 1.57% 3.0754 0.94% 9.3018 0.19% 98.68
104 1.54% 3.2287 0.88% 10.136 0.17% 118.42
105 1.51% 3.3946 0.83% 11.071 0.15% 143.35
106 1.48% 3.5741 0.78% 12.123 0.13% 175.2
107 1.45% 3.7687 0.74% 13.308 0.11% 216.42
108 1.41% 3.9798 0.69% 14.647 0.09% 270.53
109 1.37% 4.2092 0.64% 16.164 0.08% 342.67
110 1.33% 4.4586 0.60% 17.887 0.07% 440.58
111 1.29% 4.7303 0.55% 19.849 0.05% 576.14
112 1.25% 5.0266 0.51% 22.091 0.04% 768.19
113 1.20% 5.3501 0.47% 24.659 0.04% 1047.5
114 1.16% 5.7038 0.43% 27.609 0.03% 1466.5
115 1.12% 6.0912 0.40% 31.01 0.02% 2118.3
116 1.07% 6.5159 0.36% 34.942 0.02% 3177.5
117 1.03% 6.9824 0.33% 39.503 0.01% 4993.2
118 0.98% 7.4954 0.30% 44.813 0.01% 8322
119 0.94% 8.0606 0.27% 51.016 0.01% 14980
120 0.89% 8.6842 0.25% 58.289 0.00% 29959
121 0.85% 9.3734 0.22% 66.853 0.00% 69905
122 0.80% 10.136 0.20% 76.979 0.00% 2.10E+05
123 0.76% 10.983 0.18% 89.006 0.00% 1.05E+06
124 0.72% 11.923 0.16% 103.36 0.00%
125 0.68% 12.97 0.14% 120.59
126 0.64% 14.137 0.12% 141.38
127 0.60% 15.441 0.11% 166.63
128 0.56% 16.902 0.09% 197.48
129 0.52% 18.541 0.08% 235.46
130 0.49% 20.384 0.07% 282.55
131 0.45% 22.462 0.06% 341.42
132 0.42% 24.808 0.05% 415.64
133 0.39% 27.466 0.05% 510.1
134 0.36% 30.482 0.04% 631.55
135 0.33% 33.914 0.03% 789.44
136 0.31% 37.829 0.03% 997.19
137 0.28% 42.307 0.02% 1274.2
138 0.26% 47.444 0.02% 1648.9
139 0.23% 53.351 0.01% 2164.2
140 0.21% 60.165 0.01% 2885.7
141 0.19% 68.047 0.01% 3916.3
142 0.17% 77.195 0.01% 5422.5
143 0.16% 87.843 0.01% 7681.9
144 0.14% 100.28 0.00% 11174
145 0.13% 114.85 0.00% 16760
146 0.11% 131.99 0.00% 26072
147 0.10% 152.23 0.00% 42367
148 0.09% 176.21 0.00% 72629
149 0.08% 204.74 0.00% 1.33E+05
150 0.07% 238.83 0.00% 2.66E+05
151 0.06% 279.75 0.00% 5.99E+05
152 0.05% 329.11 0.00% 1.60E+06
153 0.05% 388.94 0.00% 5.59E+06
154 0.04% 461.87 0.00% 3.36E+07
155 0.04% 551.26 0.00%
156 0.03% 661.51
157 0.03% 798.38
158 0.02% 969.46
159 0.02% 1184.9
160 0.02% 1458.3
161 0.01% 1808.3
162 0.01% 2260.4
163 0.01% 2850.1
164 0.01% 3627.4
165 0.01% 4663.8
166 0.01% 6062.9
167 0.00% 7977.5
168 0.00% 10637
169 0.00% 14391
170 0.00% 19787
171 0.00% 27702
172 0.00% 39575
173 0.00% 57840
174 0.00% 86760
175 0.00% 1.34E+05
176 0.00% 2.15E+05
177 0.00% 3.58E+05
178 0.00% 6.26E+05
179 0.00% 1.16E+06
180 0.00% 2.32E+06
181 0.00% 5.11E+06
182 0.00% 1.28E+07
183 0.00% 3.83E+07
184 0.00% 1.53E+08
185 0.00% 1.07E+09
186 0.00%