1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
|
Distribution class=Binomial name=Binomial dimension=1 n=15 p=0.7
Distribution Binomial(n = 15, p = 0.7)
Elliptical = False
Continuous = False
oneRealization= class=Point name=Unnamed dimension=1 values=[10]
Point= class=Point name=Unnamed dimension=1 values=[5]
pdf =0.002980
cdf=0.003653
quantile= class=Point name=Unnamed dimension=1 values=[13]
cdf(quantile)=0.964732
entropy=1.986819
mean= class=Point name=Unnamed dimension=1 values=[10.5]
standard deviation= class=Point name=Unnamed dimension=1 values=[1.77482]
skewness= class=Point name=Unnamed dimension=1 values=[-0.225374]
kurtosis= class=Point name=Unnamed dimension=1 values=[2.91746]
covariance= class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[3.15]
parameters= [class=PointWithDescription name=X0 dimension=2 description=[n,p] values=[15,0.7]]
Standard representative= Binomial(n = 15, p = 0.7)
95.00% bilateral confidence interval = [7, 13]
Check on dataset
row = 0/35, x = 0, n = 10, pr = 0.0, P(X = x) = 1.0, CDF = 1.0, Compl. CDF = 0.0
computePDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeComplementaryCDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeSurvivalFunction. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
row = 1/35, x = 10, n = 10, pr = 0.0, P(X = x) = 0.0, CDF = 1.0, Compl. CDF = 0.0
computePDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeComplementaryCDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeSurvivalFunction. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeQuantile (B). Computed X = 10, expected = 10
row = 2/35, x = 0, n = 10, pr = 1.0, P(X = x) = 0.0, CDF = 0.0, Compl. CDF = 1.0
computePDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeCDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 0, F(X - 1) = 0.0000000e+00, F(X) = 0.0000000e+00
row = 3/35, x = 10, n = 10, pr = 1.0, P(X = x) = 1.0, CDF = 1.0, Compl. CDF = 0.0
computePDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeComplementaryCDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeSurvivalFunction. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeQuantile (B). Computed X = 10, expected = 10
row = 4/35, x = 1, n = 1030, pr = 0.5, P(X = x) = 8.952445602587756e-308, CDF = 8.96113729734744e-308, Compl. CDF = 1.0
computePDF. Computed = 8.95244560259e-308, expected = 8.95244560259e-308
computeCDF. Computed = 8.96113729735e-308, expected = 8.96113729735e-308
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 1, F(X - 1) = 8.6916948e-311, F(X) = 8.9611373e-308
row = 5/35, x = 400, n = 1030, pr = 0.5, P(X = x) = 1.4435068396634365e-13, CDF = 3.897352466243578e-13, Compl. CDF = 0.9999999999996103
computePDF. Computed = 1.44350683966e-13, expected = 1.44350683966e-13
computeCDF. Computed = 3.89735246624e-13, expected = 3.89735246624e-13
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 400, F(X - 1) = 2.4538456e-13, F(X) = 3.8973525e-13
row = 6/35, x = 589, n = 1030, pr = 0.5, P(X = x) = 5.835293291163824e-07, CDF = 0.9999983439256698, Compl. CDF = 1.6560743301714625e-06
computePDF. Computed = 5.83529329116e-07, expected = 5.83529329116e-07
computeCDF. Computed = 9.99998343926e-01, expected = 9.99998343926e-01
computeComplementaryCDF. Computed = 1.65607433017e-06, expected = 1.65607433017e-06
computeSurvivalFunction. Computed = 1.65607433017e-06, expected = 1.65607433017e-06
computeQuantile (B). Computed X = 589, expected = 589
row = 7/35, x = 1, n = 30, pr = 0.1, P(X = x) = 0.14130386091738736, CDF = 0.18369501919260356, Compl. CDF = 0.8163049808073964
computePDF. Computed = 1.41303860917e-01, expected = 1.41303860917e-01
computeCDF. Computed = 1.83695019193e-01, expected = 1.83695019193e-01
computeComplementaryCDF. Computed = 8.16304980807e-01, expected = 8.16304980807e-01
computeSurvivalFunction. Computed = 8.16304980807e-01, expected = 8.16304980807e-01
computeQuantile (A). Computed X = 1, F(X - 1) = 4.2391158e-02, F(X) = 1.8369502e-01
row = 8/35, x = 1, n = 50, pr = 0.001, P(X = x) = 0.047607889299150725, CDF = 0.9988135174961821, Compl. CDF = 0.001186482503817932
computePDF. Computed = 4.76078892992e-02, expected = 4.76078892992e-02
computeCDF. Computed = 9.98813517496e-01, expected = 9.98813517496e-01
computeComplementaryCDF. Computed = 1.18648250382e-03, expected = 1.18648250382e-03
computeSurvivalFunction. Computed = 1.18648250382e-03, expected = 1.18648250382e-03
computeQuantile (B). Computed X = 1, expected = 1
row = 9/35, x = 16, n = 30, pr = 0.999, P(X = x) = 1.4311328174833965e-34, CDF = 1.4326623224074817e-34, Compl. CDF = 1.0
computePDF. Computed = 1.43113281748e-34, expected = 1.43113281748e-34
computeCDF. Computed = 1.43266232241e-34, expected = 1.43266232241e-34
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 16, F(X - 1) = 1.5295049e-37, F(X) = 1.4326623e-34
row = 10/35, x = 1, n = 240, pr = 0.9999, P(X = x) = 0.0, CDF = 0.0, Compl. CDF = 1.0
computePDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeCDF. Computed = 0.00000000000e+00, expected = 0.00000000000e+00
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 0, F(X - 1) = 0.0000000e+00, F(X) = 0.0000000e+00
row = 11/35, x = 28, n = 100, pr = 0.22, P(X = x) = 0.032924061808075285, CDF = 0.9383900809697512, Compl. CDF = 0.06160991903024881
computePDF. Computed = 3.29240618081e-02, expected = 3.29240618081e-02
computeCDF. Computed = 9.38390080970e-01, expected = 9.38390080970e-01
computeComplementaryCDF. Computed = 6.16099190302e-02, expected = 6.16099190302e-02
computeSurvivalFunction. Computed = 6.16099190302e-02, expected = 6.16099190302e-02
computeQuantile (B). Computed X = 28, expected = 28
row = 12/35, x = 152, n = 1000, pr = 0.71, P(X = x) = 1.3502335695551398e-295, CDF = 1.4566914903506442e-295, Compl. CDF = 1.0
computePDF. Computed = 1.35023356956e-295, expected = 1.35023356956e-295
computeCDF. Computed = 1.45669149035e-295, expected = 1.45669149035e-295
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 152, F(X - 1) = 1.0645792e-296, F(X) = 1.4566915e-295
row = 13/35, x = 3, n = 1080, pr = 0.001, P(X = x) = 0.07127603460581645, CDF = 0.9757780300552841, Compl. CDF = 0.024221969944715913
computePDF. Computed = 7.12760346058e-02, expected = 7.12760346058e-02
computeCDF. Computed = 9.75778030055e-01, expected = 9.75778030055e-01
computeComplementaryCDF. Computed = 2.42219699447e-02, expected = 2.42219699447e-02
computeSurvivalFunction. Computed = 2.42219699447e-02, expected = 2.42219699447e-02
computeQuantile (B). Computed X = 3, expected = 3
row = 14/35, x = 187, n = 1030, pr = 0.5, P(X = x) = 2.305222442510606e-100, CDF = 2.9597951362079584e-100, Compl. CDF = 1.0
computePDF. Computed = 2.30522244251e-100, expected = 2.30522244251e-100
computeCDF. Computed = 2.95979513621e-100, expected = 2.95979513621e-100
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 187, F(X - 1) = 6.5457269e-101, F(X) = 2.9597951e-100
row = 15/35, x = 4, n = 1030, pr = 0.5, P(X = x) = 4.052372710930284e-300, CDF = 4.0682022015213084e-300, Compl. CDF = 1.0
computePDF. Computed = 4.05237271093e-300, expected = 4.05237271093e-300
computeCDF. Computed = 4.06820220152e-300, expected = 4.06820220152e-300
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 4, F(X - 1) = 1.5829491e-302, F(X) = 4.0682022e-300
row = 16/35, x = 71, n = 1030, pr = 0.5, P(X = x) = 7.052396863408603e-200, CDF = 7.614904751686653e-200, Compl. CDF = 1.0
computePDF. Computed = 7.05239686341e-200, expected = 7.05239686341e-200
computeCDF. Computed = 7.61490475169e-200, expected = 7.61490475169e-200
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 71, F(X - 1) = 5.6250789e-201, F(X) = 7.6149048e-200
row = 17/35, x = 280, n = 1030, pr = 0.5, P(X = x) = 1.280342764528666e-50, CDF = 2.037991584857348e-50, Compl. CDF = 1.0
computePDF. Computed = 1.28034276453e-50, expected = 1.28034276453e-50
computeCDF. Computed = 2.03799158486e-50, expected = 2.03799158486e-50
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 280, F(X - 1) = 7.5764882e-51, F(X) = 2.0379916e-50
row = 18/35, x = 367, n = 1030, pr = 0.5, P(X = x) = 4.78246519228016e-21, CDF = 1.0625330196420556e-20, Compl. CDF = 1.0
computePDF. Computed = 4.78246519228e-21, expected = 4.78246519228e-21
computeCDF. Computed = 1.06253301964e-20, expected = 1.06253301964e-20
computeComplementaryCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeSurvivalFunction. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeQuantile (A). Computed X = 367, F(X - 1) = 5.8428650e-21, F(X) = 1.0625330e-20
row = 19/35, x = 413, n = 1030, pr = 0.5, P(X = x) = 3.7344641140712264e-11, CDF = 1.1085627607135255e-10, Compl. CDF = 0.9999999998891437
computePDF. Computed = 3.73446411407e-11, expected = 3.73446411407e-11
computeCDF. Computed = 1.10856276071e-10, expected = 1.10856276071e-10
computeComplementaryCDF. Computed = 9.99999999889e-01, expected = 9.99999999889e-01
computeSurvivalFunction. Computed = 9.99999999889e-01, expected = 9.99999999889e-01
computeQuantile (A). Computed X = 413, F(X - 1) = 7.3511635e-11, F(X) = 1.1085628e-10
row = 20/35, x = 447, n = 1030, pr = 0.5, P(X = x) = 3.079274333642467e-06, CDF = 1.2646931839564025e-05, Compl. CDF = 0.9999873530681604
computePDF. Computed = 3.07927433364e-06, expected = 3.07927433364e-06
computeCDF. Computed = 1.26469318396e-05, expected = 1.26469318396e-05
computeComplementaryCDF. Computed = 9.99987353068e-01, expected = 9.99987353068e-01
computeSurvivalFunction. Computed = 9.99987353068e-01, expected = 9.99987353068e-01
computeQuantile (A). Computed X = 447, F(X - 1) = 9.5676575e-06, F(X) = 1.2646932e-05
row = 21/35, x = 478, n = 1030, pr = 0.5, P(X = x) = 0.0017421256529667251, CDF = 0.011442014956264542, Compl. CDF = 0.9885579850437355
computePDF. Computed = 1.74212565297e-03, expected = 1.74212565297e-03
computeCDF. Computed = 1.14420149563e-02, expected = 1.14420149563e-02
computeComplementaryCDF. Computed = 9.88557985044e-01, expected = 9.88557985044e-01
computeSurvivalFunction. Computed = 9.88557985044e-01, expected = 9.88557985044e-01
computeQuantile (A). Computed X = 478, F(X - 1) = 9.6998893e-03, F(X) = 1.1442015e-02
row = 22/35, x = 494, n = 1030, pr = 0.5, P(X = x) = 0.01056289669305525, CDF = 0.10069913185943613, Compl. CDF = 0.8993008681405639
computePDF. Computed = 1.05628966931e-02, expected = 1.05628966931e-02
computeCDF. Computed = 1.00699131859e-01, expected = 1.00699131859e-01
computeComplementaryCDF. Computed = 8.99300868141e-01, expected = 8.99300868141e-01
computeSurvivalFunction. Computed = 8.99300868141e-01, expected = 8.99300868141e-01
computeQuantile (A). Computed X = 494, F(X - 1) = 9.0136235e-02, F(X) = 1.0069913e-01
row = 23/35, x = 501, n = 1030, pr = 0.5, P(X = x) = 0.016993045111617772, CDF = 0.20009865401157712, Compl. CDF = 0.7999013459884229
computePDF. Computed = 1.69930451116e-02, expected = 1.69930451116e-02
computeCDF. Computed = 2.00098654012e-01, expected = 2.00098654012e-01
computeComplementaryCDF. Computed = 7.99901345988e-01, expected = 7.99901345988e-01
computeSurvivalFunction. Computed = 7.99901345988e-01, expected = 7.99901345988e-01
computeQuantile (A). Computed X = 501, F(X - 1) = 1.8310561e-01, F(X) = 2.0009865e-01
row = 24/35, x = 515, n = 1030, pr = 0.5, P(X = x) = 0.02485512993657447, CDF = 0.5124275649682872, Compl. CDF = 0.48757243503171277
computePDF. Computed = 2.48551299366e-02, expected = 2.48551299366e-02
computeCDF. Computed = 5.12427564968e-01, expected = 5.12427564968e-01
computeComplementaryCDF. Computed = 4.87572435032e-01, expected = 4.87572435032e-01
computeSurvivalFunction. Computed = 4.87572435032e-01, expected = 4.87572435032e-01
computeQuantile (B). Computed X = 515, expected = 515
row = 25/35, x = 519, n = 1030, pr = 0.5, P(X = x) = 0.024095522581366862, CDF = 0.6104180157142418, Compl. CDF = 0.38958198428575824
computePDF. Computed = 2.40955225814e-02, expected = 2.40955225814e-02
computeCDF. Computed = 6.10418015714e-01, expected = 6.10418015714e-01
computeComplementaryCDF. Computed = 3.89581984286e-01, expected = 3.89581984286e-01
computeSurvivalFunction. Computed = 3.89581984286e-01, expected = 3.89581984286e-01
computeQuantile (B). Computed X = 519, expected = 519
row = 26/35, x = 529, n = 1030, pr = 0.5, P(X = x) = 0.016993045111617772, CDF = 0.8168943911000407, Compl. CDF = 0.1831056088999593
computePDF. Computed = 1.69930451116e-02, expected = 1.69930451116e-02
computeCDF. Computed = 8.16894391100e-01, expected = 8.16894391100e-01
computeComplementaryCDF. Computed = 1.83105608900e-01, expected = 1.83105608900e-01
computeSurvivalFunction. Computed = 1.83105608900e-01, expected = 1.83105608900e-01
computeQuantile (B). Computed X = 529, expected = 529
row = 27/35, x = 536, n = 1030, pr = 0.5, P(X = x) = 0.01056289669305525, CDF = 0.9098637648336196, Compl. CDF = 0.09013623516638039
computePDF. Computed = 1.05628966931e-02, expected = 1.05628966931e-02
computeCDF. Computed = 9.09863764834e-01, expected = 9.09863764834e-01
computeComplementaryCDF. Computed = 9.01362351664e-02, expected = 9.01362351664e-02
computeSurvivalFunction. Computed = 9.01362351664e-02, expected = 9.01362351664e-02
computeQuantile (B). Computed X = 536, expected = 536
row = 28/35, x = 552, n = 1030, pr = 0.5, P(X = x) = 0.0017421256529667269, CDF = 0.9903001106967022, Compl. CDF = 0.009699889303297828
computePDF. Computed = 1.74212565297e-03, expected = 1.74212565297e-03
computeCDF. Computed = 9.90300110697e-01, expected = 9.90300110697e-01
computeComplementaryCDF. Computed = 9.69988930330e-03, expected = 9.69988930330e-03
computeSurvivalFunction. Computed = 9.69988930330e-03, expected = 9.69988930330e-03
computeQuantile (B). Computed X = 552, expected = 552
row = 29/35, x = 565, n = 1030, pr = 0.5, P(X = x) = 0.00019316170481490288, CDF = 0.9991817412924979, Compl. CDF = 0.0008182587075020682
computePDF. Computed = 1.93161704815e-04, expected = 1.93161704815e-04
computeCDF. Computed = 9.99181741292e-01, expected = 9.99181741292e-01
computeComplementaryCDF. Computed = 8.18258707502e-04, expected = 8.18258707502e-04
computeSurvivalFunction. Computed = 8.18258707502e-04, expected = 8.18258707502e-04
computeQuantile (B). Computed X = 565, expected = 565
row = 30/35, x = 575, n = 1030, pr = 0.5, P(X = x) = 2.2679394170815888e-05, CDF = 0.99991976208378, Compl. CDF = 8.02379162200689e-05
computePDF. Computed = 2.26793941708e-05, expected = 2.26793941708e-05
computeCDF. Computed = 9.99919762084e-01, expected = 9.99919762084e-01
computeComplementaryCDF. Computed = 8.02379162201e-05, expected = 8.02379162201e-05
computeSurvivalFunction. Computed = 8.02379162201e-05, expected = 8.02379162201e-05
computeQuantile (B). Computed X = 575, expected = 575
row = 31/35, x = 583, n = 1030, pr = 0.5, P(X = x) = 3.079274333642467e-06, CDF = 0.9999904323424941, Compl. CDF = 9.567657505921526e-06
computePDF. Computed = 3.07927433364e-06, expected = 3.07927433364e-06
computeCDF. Computed = 9.99990432342e-01, expected = 9.99990432342e-01
computeComplementaryCDF. Computed = 9.56765750592e-06, expected = 9.56765750592e-06
computeSurvivalFunction. Computed = 9.56765750592e-06, expected = 9.56765750592e-06
computeQuantile (B). Computed X = 583, expected = 583
row = 32/35, x = 598, n = 1030, pr = 0.5, P(X = x) = 3.6837174964506594e-08, CDF = 0.9999999078985209, Compl. CDF = 9.210147907487249e-08
computePDF. Computed = 3.68371749645e-08, expected = 3.68371749645e-08
computeCDF. Computed = 9.99999907899e-01, expected = 9.99999907899e-01
computeComplementaryCDF. Computed = 9.21014790749e-08, expected = 9.21014790749e-08
computeSurvivalFunction. Computed = 9.21014790749e-08, expected = 9.21014790749e-08
computeQuantile (B). Computed X = 598, expected = 598
row = 33/35, x = 617, n = 1030, pr = 0.5, P(X = x) = 3.7344641140712264e-11, CDF = 0.9999999999264884, Compl. CDF = 7.351163493063993e-11
computePDF. Computed = 3.73446411407e-11, expected = 3.73446411407e-11
computeCDF. Computed = 9.99999999926e-01, expected = 9.99999999926e-01
computeComplementaryCDF. Computed = 7.35116349306e-11, expected = 7.35116349306e-11
computeSurvivalFunction. Computed = 7.35116349306e-11, expected = 7.35116349306e-11
computeQuantile (B). Computed X = 617, expected = 617
row = 34/35, x = 635, n = 1030, pr = 0.5, P(X = x) = 1.4184282330185442e-14, CDF = 0.9999999999999771, Compl. CDF = 2.2855665875415883e-14
computePDF. Computed = 1.41842823302e-14, expected = 1.41842823302e-14
computeCDF. Computed = 1.00000000000e+00, expected = 1.00000000000e+00
computeComplementaryCDF. Computed = 2.28556658754e-14, expected = 2.28556658754e-14
computeSurvivalFunction. Computed = 2.28556658754e-14, expected = 2.28556658754e-14
computeQuantile (B). Computed X = 635, expected = 635
n=59 k=1 p(k-1)=0.0485 p(k)=0.1991 ok=True
n=60 k=1 p(k-1)=0.0461 p(k)=0.1916 ok=True
n=61 k=1 p(k-1)=0.0438 p(k)=0.1843 ok=True
n=62 k=1 p(k-1)=0.0416 p(k)=0.1773 ok=True
n=63 k=1 p(k-1)=0.0395 p(k)=0.1705 ok=True
n=64 k=1 p(k-1)=0.0375 p(k)=0.1639 ok=True
n=65 k=1 p(k-1)=0.0356 p(k)=0.1576 ok=True
n=66 k=1 p(k-1)=0.0339 p(k)=0.1515 ok=True
n=67 k=1 p(k-1)=0.0322 p(k)=0.1456 ok=True
n=68 k=1 p(k-1)=0.0306 p(k)=0.1399 ok=True
n=69 k=1 p(k-1)=0.0290 p(k)=0.1345 ok=True
n=70 k=1 p(k-1)=0.0276 p(k)=0.1292 ok=True
n=71 k=1 p(k-1)=0.0262 p(k)=0.1241 ok=True
n=72 k=1 p(k-1)=0.0249 p(k)=0.1192 ok=True
n=73 k=1 p(k-1)=0.0236 p(k)=0.1145 ok=True
n=74 k=1 p(k-1)=0.0225 p(k)=0.1100 ok=True
n=75 k=1 p(k-1)=0.0213 p(k)=0.1056 ok=True
n=76 k=1 p(k-1)=0.0203 p(k)=0.1014 ok=True
n=77 k=1 p(k-1)=0.0193 p(k)=0.0973 ok=True
n=78 k=1 p(k-1)=0.0183 p(k)=0.0934 ok=True
n=79 k=1 p(k-1)=0.0174 p(k)=0.0897 ok=True
n=80 k=1 p(k-1)=0.0165 p(k)=0.0861 ok=True
n=81 k=1 p(k-1)=0.0157 p(k)=0.0826 ok=True
n=82 k=1 p(k-1)=0.0149 p(k)=0.0792 ok=True
n=83 k=1 p(k-1)=0.0142 p(k)=0.0760 ok=True
n=84 k=1 p(k-1)=0.0135 p(k)=0.0729 ok=True
n=85 k=1 p(k-1)=0.0128 p(k)=0.0699 ok=True
n=86 k=1 p(k-1)=0.0121 p(k)=0.0671 ok=True
n=87 k=1 p(k-1)=0.0115 p(k)=0.0643 ok=True
n=88 k=1 p(k-1)=0.0110 p(k)=0.0617 ok=True
n=89 k=1 p(k-1)=0.0104 p(k)=0.0592 ok=True
n=90 k=1 p(k-1)=0.0099 p(k)=0.0567 ok=True
n=91 k=1 p(k-1)=0.0094 p(k)=0.0544 ok=True
n=92 k=1 p(k-1)=0.0089 p(k)=0.0521 ok=True
n=93 k=2 p(k-1)=0.0500 p(k)=0.1504 ok=True
n=94 k=2 p(k-1)=0.0479 p(k)=0.1454 ok=True
n=95 k=2 p(k-1)=0.0459 p(k)=0.1405 ok=True
n=96 k=2 p(k-1)=0.0440 p(k)=0.1358 ok=True
n=97 k=2 p(k-1)=0.0422 p(k)=0.1312 ok=True
n=98 k=2 p(k-1)=0.0404 p(k)=0.1268 ok=True
n=99 k=2 p(k-1)=0.0387 p(k)=0.1225 ok=True
|
