ST - Lucrarea 4 - Anexe A-D.pdf
4
ANEXA A Repartiția normală (redusă)- Repartiția Laplace x x 2 z dx e 2 1 dx ) x ( f ) x ( F 2 1- z F(z) f(z) z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.5 0.6 0.7 0.8 0.9 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306 0.8921 0.8830 0.9015 0.9177 0.9319 1.5 1.6 1.7 1.8 1.9 0.9332 0.9452 0.9554 0.9641 0.9713 0.9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9671 0.9738 0.9394 0.9505 0.9599 0.9678 0.9742 0.9406 0.9515 0.9608 0.9686 0.9744 0.9418 0.9525 0.9616 0.9639 0.9756 0.9429 0.9535 0.9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.9706 0.9767 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9901 0.9925 0.9783 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 2.5 2.6 2.7 2.8 2.9 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 0.9981 0.9986 3.0 3.1 3.2 3.3 3.4 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9993 0.9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9988 0.9991 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9996 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998
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Transcript of ST - Lucrarea 4 - Anexe A-D.pdf
ANEXA A Repartiția normală (redusă)- Repartiția Laplace
x x
2
zdxe
2
1dx)x(f)x(F
2
1-
z
F(z)
f(z)
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.0
0.1
0.2
0.3
0.4
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.6217
0.6591
0.5080
0.5478
0.5871
0.6255
0.6628
0.5120
0.5517
0.5910
0.6293
0.6664
0.5160
0.5557
0.5948
0.6331
0.6700
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.6808
0.5319
0.5714
0.6103
0.6480
0.6844
0.5359
0.5753
0.6141
0.6517
0.6879
0.5
0.6
0.7
0.8
0.9
0.6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7611
0.7910
0.8186
0.6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0.7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.8340
0.7190
0.7517
0.7823
0.8106
0.8365
0.7224
0.7549
0.7852
0.8133
0.8389
1.0
1.1
1.2
1.3
1.4
0.8413
0.8643
0.8849
0.9032
0.9192
0.8438
0.8665
0.8869
0.9049
0.9207
0.8461
0.8686
0.8888
0.9066
0.9222
0.8485
0.8708
0.8907
0.9082
0.9236
0.8508
0.8729
0.8925
0.9099
0.9251
0.8531
0.8749
0.8944
0.9115
0.9265
0.8554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.9147
0.9292
0.8599
0.8810
0.8997
0.9162
0.9306
0.8921
0.8830
0.9015
0.9177
0.9319
1.5
1.6
1.7
1.8
1.9
0.9332
0.9452
0.9554
0.9641
0.9713
0.9345
0.9463
0.9564
0.9649
0.9719
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0.9394
0.9505
0.9599
0.9678
0.9742
0.9406
0.9515
0.9608
0.9686
0.9744
0.9418
0.9525
0.9616
0.9639
0.9756
0.9429
0.9535
0.9625
0.9699
0.9761
0.9441
0.9545
0.9633
0.9706
0.9767
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9893
0.9918
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9868
0.9898
0.9922
0.9788
0.9834
0.9871
0.9901
0.9925
0.9783
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
0.9906
0.9929
0.9803
0.9846
0.9881
0.9909
0.9931
0.9808
0.9850
0.9884
0.9911
0.9932
0.9812
0.9854
0.9887
0.9913
0.9934
0.9817
0.9857
0.9890
0.9916
0.9936
2.5
2.6
2.7
2.8
2.9
0.9938
0.9953
0.9965
0.9974
0.9981
0.9940
0.9955
0.9966
0.9975
0.9982
0.9941
0.9956
0.9967
0.9976
0.9982
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0.9959
0.9969
0.9977
0.9984
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9985
0.9949
0.9962
0.9972
0.9979
0.9985
0.9951
0.9963
0.9973
0.9980
0.9986
0.9952
0.9964
0.9974
0.9981
0.9986
3.0
3.1
3.2
3.3
3.4
0.9987
0.9990
0.9993
0.9995
0.9997
0.9987
0.9991
0.9993
0.9995
0.9997
0.9987
0.9991
0.9994
0.9995
0.9997
0.9988
0.9991
0.9994
0.9996
0.9997
0.9988
0.9992
0.9994
0.9996
0.9997
0.9988
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9996
0.9997
0.9990
0.9993
0.9995
0.9996
0.9997
0.9990
0.9993
0.9995
0.9997
0.9998
ANEXA B Repartiția 2
i ii
ii
i
i
zx2 2
0
2
0
( )
,γ2
1-
0.0
25
5.0
24
7.3
78
9.3
48
11
.143
12
.832
14
.449
16
.013
17
.535
19
.023
20
.483
21
.920
23
.337
24
.736
26
.119
27
.488
28
.845
30
.191
31
.526
32
.852
34
.170
35
.479
36
.781
38
.076
39
.364
40
.646
41
.923
43
.194
44
.461
45
.722
46
.979
0.0
5
3.8
41
5.9
91
7.8
15
9.4
88
11
.070
12
.592
14
.067
15
.507
16
.919
18
.307
19
.675
21
.026
22
.362
23
.685
24
.996
26
.296
27
.587
28
.869
30
.144
31
.410
32
.671
33
.942
35
.172
36
.415
37
.652
38
.885
40
.113
41
.337
42
.557
43
.773
0.1
0
2.7
06
4.6
05
6.2
51
7.7
79
9.2
36
10
.645
12
.017
13
.362
14
.684
15
.987
17
.275
18
.549
19
.812
21
.064
22
.307
23
.542
24
.769
25
.989
27
.204
28
.412
29
.615
30
.813
32
.007
33
.196
34
.382
35
.563
36
.741
37
.916
39
.087
40
.256
0.2
0
1.6
42
3.2
19
4.6
42
5.9
89
7.2
89
8.5
58
9.8
03
11
.030
12
.242
13
.442
14
.631
15
.812
16
.985
18
.151
19
.311
20
.456
21
.615
22
.760
23
.900
25
.038
26
.171
27
.301
28
.429
29
.553
30
.675
31
.795
32
.912
34
.027
35
.139
36
.250
0.2
5
1.3
23
2.7
73
4.1
08
5.3
58
6.6
26
7.8
41
9.0
37
10
.219
11
.389
12
.549
13
.701
14
.845
15
.984
17
.117
18
.245
19
.369
20
.489
21
.605
22
.718
23
.828
24
.953
26
.039
27
.141
28
.241
29
.339
30
.434
31
.528
32
.620
33
.711
34
.800
0.3
0
1.0
74
2.4
08
3.6
65
4.8
78
6.0
64
7.2
31
8.3
83
9.5
42
10
.656
11
.781
12
.899
14
.011
15
.119
16
.222
17
.322
18
.418
19
.511
20
.601
21
.689
22
.775
23
.858
24
.939
26
.018
27
.096
28
.172
29
.246
30
.319
31
.391
32
.461
33
.530
0.5
0
0.4
55
1.3
86
2.3
66
3.3
57
4.3
51
5.3
48
6.3
46
7.3
44
8.3
43
9.3
42
10
.341
11
.340
12
.340
13
.339
14
.339
15
.338
16
.338
17
.338
18
.338
19
.337
20
.337
21
.337
22
.337
23
.337
24
.337
25
.336
26
.336
27
.336
28
.336
29
.336
0.7
0
0.1
48
0.7
13
1.4
24
2.1
95
3.0
00
3.8
28
4.6
71
5.5
27
6.3
93
7.2
67
8.1
48
9.0
34
9.9
26
10
.821
11
.721
12
.624
13
.531
14
.440
15
.352
16
.266
17
.182
18
.101
19
.021
19
.943
20
.867
21
.792
22
.719
23
.647
24
.577
25
.508
0.7
5
0.1
02
0.5
75
1.2
13
1.9
23
2.6
75
3.4
55
4.2
55
5.0
71
5.8
99
6.7
37
7.5
84
8.4
38
9.2
99
10
.165
11
.036
11
.912
12
.792
13
.675
14
.562
15
.452
16
.344
17
.240
18
.137
19
.037
19
.939
20
.843
21
.794
22
.657
23
.567
24
.478
0.8
0
0.0
642
0.4
46
1.0
05
1.6
49
2.3
43
3.0
70
3.8
22
4.5
94
4.3
80
6.1
79
6.9
89
7.8
07
8.6
34
9.4
67
10
.307
11
.152
12
.002
12
.857
13
.716
14
.578
15
.445
16
.314
17
.187
18
.062
18
.940
19
.820
20
.703
21
.588
22
.475
23
.364
0.9
0
0.0
158
0.2
11
0.5
84
1.0
64
1.6
10
2.2
04
2.8
33
3.4
90
4.1
68
4.8
65
5.5
78
6.3
04
7.0
42
7.7
90
8.5
47
9.3
12
10
.085
10
.865
11
.651
12
.443
13
.240
14
.041
14
.848
15
.659
16
.473
17
.292
18
.114
18
.939
19
.768
20
.599
0.9
5
0.0
03
0.1
03
0.3
52
0.7
11
1.1
45
1.6
35
2.1
67
2.7
33
3.3
25
3.9
40
4.5
75
5.2
26
5.8
92
6.5
71
7.2
61
7.9
62
8.6
27
9.3
90
10
.117
10
.851
11
.591
12
.338
13
.091
13
.848
14
.611
15
.379
16
.151
16
.928
17
.708
18
.493
0.9
75
0.0
39
8
0.0
506
0.2
16
0.4
84
0.8
31
1.2
37
1.6
90
2.1
80
2.7
00
3.2
47
3.8
16
4.4
04
5.0
09
5.6
29
6.2
62
6.9
08
7.5
64
8.2
31
8.9
07
9.5
91
10
.283
10
.982
11
.688
12
.401
13
.120
13
.844
14
.573
15
.308
16
.047
16
.791
0.9
8
0.0
36
2
0.0
404
0.1
85
0.4
29
0.7
52
1.1
34
1.5
64
2.0
32
2.5
32
3.0
59
3.6
09
4.1
78
4.7
65
5.3
68
5.9
85
6.6
14
7.2
55
7.9
06
8.5
67
9.2
37
9.9
15
10
.600
11
.293
11
.992
12
.697
13
.409
14
.125
14
.847
15
.574
16
.306
0.9
9
0.0
31
5
0.0
201
0.1
15
0.2
97
0.5
54
0.8
72
1.2
39
1.6
46
2.0
88
2.5
58
3.0
53
3.5
71
4.1
07
4.6
60
5.2
29
5.8
12
6.4
08
7.0
15
7.6
33
8.2
60
8.8
97
9.5
42
10
.196
10
.856
11
.524
12
.198
12
.879
13
.565
14
.256
14
.953
0.9
95
0.0
43
9
0.0
100
0.0
717
0.2
07
0.4
12
0.6
76
0.9
89
1.3
44
1.7
35
2.1
56
2.6
03
3.0
74
3.5
65
4.0
75
4.6
01
5.1
42
5.6
97
6.2
65
6.8
44
7.4
34
8.0
34
8.6
43
9.2
60
9.8
86
10
.520
11
.160
11
.808
12
.461
13
.121
13
.787
/α
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
ANEXA C Repartiția Student
t1
2
2
1
1)t(f
2 2
1
/2
1-
tγ, /2-tγ, /2
Nivel de semnificatie pentru testul bilateral
α/γ 0.50 0.20 0.10 0.05 0.02 0.01 0.002 0.001 0.0001
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 35 40 45 50 60 70 80 90
100 120 200 500
1000
∞
1.000 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.700 0.697 0.695 0.694 0.692 0.691 0.690 0.689 0.688 0.688 0.687 0.686 0.686 0.685 0.685 0.684 0.684 0.684 0.683 0.683 0.683 0.682 0.681 0.680 0.679 0.679 0.678 0.678 0.667 0.667 0.667 0.676 0.675 0.675 0.675
3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.306 1.303 1.301 1.299 1.296 1.294 1.292 1.291 1.290 1.289 1.286 1.283 1.282 1.282
6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.690 1.684 1.679 1.676 1.671 1.667 1.664 1.662 1.660 1.658 1.653 1.648 1.646 1.645
12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.030 2.021 2.014 2.009 2.000 1.994 1.990 1.987 1.984 1.980 1.972 1.965 1.962 1.960
31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.438 2.423 2.412 2.403 2.390 2.381 2.374 2.368 2.364 2.358 2.345 2.334 2.330 2.326
63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.742 2.704 2.690 2.678 2.660 2.648 2.639 2.632 2.626 2.617 2.601 2.586 2.581 2.576
318.309 22.327 10.214 7.173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 3.686 3.646 3.610 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.435 3.421 3.408 3.396 3.385 3.340 3.307 3.281 3.261 3.232 3.211 3.195 3.183 3.174 3.160 3.131 3.107 3.098 3.090
636.619 31.598 12.924 8.610 6.896 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.767 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.591 3.551 3.520 3.496 3.460 3.435 3.416 3.402 3.390 3.373 3.340 3.310 3.300 3.290
6366.198 99.992 28.000 15.544 11.178 9.082 7.885 7.120 6.591 6.211 5.921 5.694 5.513 5.363 5.239 5.134 5.044 4.966 4.897 4.837 4.784 4.736 4.693 4.654 4.619 4.587 4.558 4.530 4.506 4.482 4.389 4.321 4.269 4.228 4.169 4.127 4.096 4.072 4.053 4.025 3.970 3.922 3.906 3.891
α/γ 0.25 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 0.00005
Nivel de semnificatie pentru testul unilateral
t1
2
2
1
1)t(f
2 2
1
1-
tγ,
ANEXA D Repartiția Fischer
2
)(
1
*
2
*
2
*)F(f
212
2
1
2
21
1
21
(10%)
F1,2,
1-
Valoarea variabilei F avand probabilitatea 0.10 de a fi depasita
Numarul de grade de libertate al numaratorului (γ1)
1 2 3 4 5 6 7 8 9 10 15 20 30 50 100 200 500 ∞
Nu
măru
l d
e g
rad
e d
e lib
ert
ate
al n
um
ito
rulu
i (γ
2)
1
2
3
4
5
39.9
8.53
5.54
4.54
4.06
49.5
9.00
5.46
4.32
3.78
53.6
9.16
5.39
4.19
3.62
55.8
9.24
5.34
4.11
3.52
57.2
9.29
5.31
4.05
3.45
58.2
9.33
5.28
4.01
3.40
58.9
9.35
5.27
3.98
3.37
54.9
9.37
5.25
3.95
3.34
59.9
9.38
5.24
3.94
3.32
60.2
9.39
5.23
3.92
3.30
61.2
9.42
5.20
3.87
3.24
61.7
9.44
5.18
3.84
3.21
62.3
9.46
5.17
3.82
3.17
62.7
9.47
5.15
3.80
3.15
63.0
9.48
5.14
3.78
3.13
63.2
9.49
5.14
3.77
3.12
63.3
9.49
5.14
3.76
3.11
63.3
9.49
5.13
3.76
3.10
6
7
8
9
10
3.78
3.59
3.46
3.36
3.28
3.46
3.26
3.11
3.01
2.92
3.29
3.07
2.92
2.81
2.73
3.18
2.96
2.81
2.69
2.61
3.11
2.88
2.73
2.61
2.52
3.05
2.83
2.67
2.55
2.46
3.01
2.78
2.62
2.51
2.41
2.98
2.75
2.59
2.47
2.38
2.96
2.72
2.56
2.44
2.35
2.94
2.70
2.54
2.42
2.32
2.87
2.63
2.46
2.34
2.24
2.84
2.59
2.42
2.30
2.20
2.80
2.56
2.38
2.25
2.16
2.77
2.52
2.35
2.22
2.12
2.75
2.50
2.32
2.19
2.09
2.73
2.48
2.31
2.17
2.07
2.73
2.48
2.30
2.17
2.06
2.72
2.47
2.29
2.16
2.06
11
12
13
14
15
3.23
3.18
3.14
3.10
3.07
2.86
2.81
2.76
2.73
2.70
2.66
2.61
2.56
2.52
2.49
2.54
2.48
2.43
2.39
2.36
2.45
2.39
2.35
2.31
2.27
2.39
2.33
2.28
2.24
2.21
2.34
2.28
2.23
2.19
2.16
2.30
2.24
2.20
2.15
2.12
2.27
2.21
2.16
2.12
2.09
2.25
2.19
2.14
2.10
2.06
2.17
2.10
2.05
2.01
1.97
2.12
2.06
2.01
1.96
1.92
2.08
2.01
1.96
1.91
1.87
2.04
1.97
1.92
1.87
1.83
2.00
1.94
1.88
1.83
1.79
1.99
1.92
1.86
1.82
1.77
1.98
1.91
1.85
1.80
1.76
1.97
1.90
1.85
1.80
1.76
16
17
18
19
20
3.05
3.03
3.01
2.99
2.97
2.67
2.64
2.62
2.61
2.59
2.46
2.44
2.42
2.40
2.38
2.33
2.31
2.29
2.27
2.25
2.24
2.22
2.20
2.18
2.16
2.18
2.15
2.13
2.11
2.09
2.13
2.10
2.08
2.06
2.04
2.09
2.06
2.04
2.02
2.00
2.06
2.03
2.00
1.98
1.96
2.03
2.00
1.98
1.96
1.94
1.94
1.91
1.89
1.86
1.84
1.89
1.86
1.84
1.81
1.79
1.84
1.81
1.78
1.76
1.74
1.79
1.76
1.74
1.71
1.69
1.76
1.73
1.70
1.67
1.65
1.74
1.71
1.68
1.65
1.63
1.73
1.69
1.67
1.64
1.62
1.72
1.69
1.66
1.63
1.61
22
24
26
28
30
2.95
2.93
2.91
2.89
2.88
2.56
2.54
2.52
2.50
2.49
2.35
2.33
2.31
2.29
2.28
2.22
2.19
2.17
2.16
2.14
2.13
2.10
2.08
2.06
2.05
2.06
2.04
2.01
2.00
1.98
2.01
1.98
1.96
1.94
1.93
1.97
1.94
1.92
1.90
1.88
1.93
1.91
1.88
1.87
1.85
1.90
1.88
1.86
1.84
1.82
1.81
1.78
1.76
1.74
1.72
1.76
1.73
1.71
1.69
1.67
1.70
1.67
1.65
1.63
1.61
1.65
1.62
1.59
1.57
1.55
1.61
1.58
1.55
1.53
1.51
1.59
1.56
1.53
1.50
1.48
1.58
1.54
1.51
1.49
1.47
1.57
1.53
1.50
1.48
1.46
40
50
60
80
100
2.84
2.81
2.79
2.77
2.76
2.44
2.41
2.39
2.37
2.36
2.23
2.20
2.18
2.15
2.14
2.09
2.06
2.04
2.02
2.00
2.00
1.97
1.95
1.92
1.91
1.93
1.90
1.87
1.85
1.83
1.87
1.84
1.82
1.79
1.78
1.83
1.80
1.77
1.75
1.73
1.79
1.76
1.74
1.71
1.70
1.76
1.73
1.71
1.68
1.66
1.66
1.63
1.60
1.57
1.56
1.61
1.57
1.54
1.51
1.49
1.54
1.50
1.48
1.44
1.42
1.48
1.44
1.41
1.38
1.35
1.43
1.39
1.36
1.32
1.29
1.41
1.36
1.33
1.28
1.26
1.39
1.34
1.31
1.26
1.23
1.38
1.33
1.29
1.24
1.21
200
500
∞
2.73
2.72
2.71
2.33
2.31
2.30
2.11
2.10
2.08
1.97
1.96
1.94
1.88
1.86
1.85
1.80
1.79
1.77
1.75
1.73
1.72
1.70
1.68
1.67
1.66
1.64
1.63
1.63
1.61
1.60
1.52
1.50
1.49
1.46
1.44
1.42
1.38
1.36
1.34
1.31
1.28
1.26
1.24
1.21
1.18
1.20
1.16
1.13
1.17
1.12
1.08
1.14
1.09
1.00
