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An Essay on Probabilities and their Application to Life Contingencies and Insurance Offices, Augustus de Morgan (1838)
Part of the
American Term Life Insurance
History Project
Term Life Insurance
xxxiv
TABLE I.
t.
H.
-I
A -
A
z
t.
H
C
42
0'00
0
.00000 00
1128 33
22
0'40
0'42839 22
957 68
7 82
0'01
0101128
33
1128 ll
45
041
0'4:3796 90
949 86
7 95
0
.02
0
.02256 44
11
.27 66
67
0
.42
0'44746 76
941 91
8 07
0'03
0'03384 10
1126 99
90
0'43
0
.43648 67
933 84
8 17
0
.04
0
.04511 09
1126 09
1 12
0
.
44
0
.
46622 51
925 67
8 30
0
.05
0
.05637 18
1124 97
1
35
0
.
45
0
.
47548
18
917 37
8 40
0'06
0'06762 15
1123 62
1 58
0
.46
0'48465 55
908 97
8 51
0
.07
0'07885 77
1122 04
1 79
0
.47
0'49374 52
900 46
8 61
0'08
0'093117 81
1120 25
2 01
0
.48
0
.50274 98
891 85
8 19
0
.09
0
.10128 06
1118 24
2 24
0
.49
051166 83
883 16
8 78
0
.10
0'11246 30
1116 00
2 46
0'50
0
.
52049
99
874 38
8 88
0
.11
0
.12362 30
1113 54
2 07
0
.51
0
.
52924
37
865 50
8 96
0'12
0
.13475 84
1110 87
2 88
0
.
52
0
.53789 87
856 54
9 03
0
.13
0
.14586 71
1107 99
3 10
053
0'54646 41
847 51
9 10
0
.14
0'15694 70
1104 89
3 31
0
.
54
0'55493
92
838 41
9 17
0
.15
0
.16799 59
1101 58
3 52
0
.55
056332 33
829 24
9
23
0
.16
0
.17901 17
1098 (6
3 72
0'56
0'57161 57
820 01
9 30
0
.17
0
.18999 23
1094 34
3 93
0'57
0'57981 58
810 71
9
35
0'18
0
.20093 57
1090 41
4 14
0
.54
0'58792 29
801 36
9 40
0'19
0
.21183 98
1096 27
4 34
0'59
0
.59593 65
791 96
9
45
0'20
0'22270 25
1081 93
4 53
0'60
0
.60385 61
782 51
9 49
0'21
0'23352 18
1077 40
4 73
0 61
0
.61168 12
773 02
9 53
1
0'22
0
.24429 58
1072 67
4 92
062
0'61941 14
763 49
9
55
0
.23
0
.25502 25
1067 75
5 12
0'63
062704 63
753 94
9 59
0 24
0'26570 00
1062 63
5 29
0
.64
0'63458 57
744 35
9 62
0'25
0'27632 63
1057 34
5 49
0
.65
0'64202 92
734 73
9
63
0'26
0
.28689 97
1051 85
5 67
0
.616
0
.64937 65
725 10
9 65
0'27
0'29741 82
1046 18
5 84
0
.67
0'65662 75
715 45
9 66
0
.28
0
.30788 CO
1040 34
6 01
0-68
0
.66378 20
705 79
9 68
0
.29
0
.31828
34
1034 33
6 19
0'09
0'67083 99
696 11
9 67
0
.30
0'32862 67
1028 14
6 36
0'70
0
.67780 10
686 44
9 68
0
.31
0
.33890 81
1021 78
6 52
0'71
0
.08466
54
676 76
9 68
0
.32
0'34912 59
1015 26
6 67
0
.72
0'69143 30
667 08
966
0
.33
0-35927 85
1008 59
6 84
0'73
0
.69410 38
657
42
9 66
0'34
0
.36936
44
1001 75
6 98
074
0
.70467 80
647 76
9 65
035
0'37938 19
994 77
7 14
0
.75
0'71115 56
638 11
9 62
0'36
0
.38932 96
987 63
7 29
0
.76
0
.71753 67
628 49
9 61
0'37
0'39920
59
980
34
7 42
0
.77
0
.72382 16
618 88
9 57
0'38
0
.40900 93
972 92
7
55
0'78
0'73001 04
609 31
9
56
0'39
0
.41873 85
965 37
7 69
0
.79
0'73610 35
599 75
9 52
TaBLE
I.
t.
H. A
A
,
t. l 11 p A
,
1
0
.80 0
.74210 10 590 23 9 48
1'30 0 93400 80 205
52 5 32
0
.81 0
.74800
33 '
580 75 9
45
1-31 0 931506 32 200 20 5 22
0'82 0
.75351 08 571 30 9 41
1
.32 0
.93806 52 194 98 5 11
0'83 0
.7:952 38 561 89 9 36
I33 0'940111 50 189 87 5 02
0'84 0
.76514 27 552 53 9 31
1
.34 09ii91 37 184 85 4 93
0
.85 0
.77066 80
543 22
9 26
135 0
.94376 22 179 92
4
82
0
.86 077610 02
533
96
9 21
1
.36 0'94556 14 175 10 4 74 I
0
.87 0'75143 98
524 75
9 16
1'37
094731 24 170 36 4 63 I
0
.88 0
.78665 73
515 59
9 09
1
.35
094901 60 165 73 14 55
0'89
0
.79184 32
506 50
9 04
1'39
095067 33 161 18
4 45
0
.90
0
.79690 82
497 46
8 97
1'40
0'95225 51 1 56 73
4 35
0'91
0
.80188 28
488 49
8 91
1'41
0 95355 24 152 38
4 27 I
0'92
0
.80676 77
479 58
8 83
1'42
0 95537 62 148 II
4 18
0'93
081156
35
470 75
8 77
1
.
43
0'95685 73 143 93
4
09
094
081627 10
461 98
8 70
1'44
095829 66
139 84
3 99
095
0
.82099 08
453
28
8 61
1
.45
095969 50
135 85
3 91
096
0'8254
.2 36
444 67
8 55
1
.46
0
.96105
35
131 94
3 52
0'97
0
.82987 03
436 12
8 46
1
.47
096237 29
128 12
3 74
0'99
0
.
83423
15
427 06
8 39
1
.48
0'96365 41
124 38
3 65
0
.99
0
.83850 81
419 27
8 30
1
.49
0 96489 79
120 73
3 57
1
.00
0
.84270 08
410 97
8 22
1
.50
0
.96610
52
117 16
3 49 j
1
.01
0'84681 05
402 75
8 13
1'51
0'91;727 65
113 67
3 40
1
.02
0'85053 80
394 62
8 05
1
.52
0
.96841 35
110 27
3 32
1'03
0
.85478 42
356 57
7 96
1
.
53
0
.96951 62
106 95
3.25
1
.04
0
.85804 99
378 61
7 86
154
0
.97058 57
103 70
3 16
1
.05
0'56243
60
370 75
7 77
155
0'97162 27
100
54
3 C9
1
.06
0
.86614 35
362 97
7 68
1'56
0'97262 81
97 45
3 01
1
.07
0
.86977 32
355
29
7 60
1'57
097360 26
94 44
2 94
1
.08
0'87332 61
347 69
7 49
1'58
0'97454
70
91 50
2 86
1
.09
0
.87680 30
340 20
7 40
1
.59
0
.97546 20
88 64
2 79
1
.10
0'88020 50
332
80
7 31
1'130
0
.97634 84
85 85
2 73
1
.11
0
.88353 30
325 49
7 21
1
.61
0
.97720 69
83 12
2 64
1
.12
0'88678 79
318 28
7 12
1
.62
097803 81
80 48
2 59
1
.13
0
.88997 07
311 16
7 01
1
.63
0
.97854 29
77 89
2 51
1
.14
0
.89305 23
304 15
6 91
1
.64
0'97962 18
75 38
2 45
1
.15
089612 38
297 24
6 82
1'65
0
.98037 56
72 93
2 38
1
.16
0
.89909 62
290 42
6 72
1'66
0'98110 49
70 55
2 31
1'17
090200 04
283 70
6 61
1
.67
0'98181 04
68 24
2 26
1
.18
0
.90483 74
277 09
6 52
1
.68
0'95240 28
65 98
2 20
1'19
0
.90760 83
270 57
6
42
1'69
0
.98315 26
63 78
2
12
1
.20
0
.91031 40
264 15
6 31
1
.70
0'98379 04
61 66
2 08
1
.21
091295
55
257 84
6 22
1
.71
0
.95440 70
59 58
2 01
1
.22
0
.91553 39
251 62
6 II
1'72
095500 28
57 57
196
1
.23
0
.91505 01
245
51
6 02
1'73
0 98557 85
55
61
1 90
1
.
24
0
.92050
52
239
49
5 91
1
.74
098613 46
53
71
1 85
1
.
25
0
.92290 01
233 58
5 81
1'75
0
.98667 17
51 86
1 79
1
.26
0'92523 59
227 77
5 71
1
.76
0'98719 03
50 07
175
1
.27
10
.92751 36
222
06
5 61
1
.77
0
.95709 10
48
32
1 68
1'29
0'92973
42
216 45
5 52
1'78
098817 42
46 64
1 65
1
.24
093189 87
210 93
5 41
1'79
0
.98864 06
44 99
1 59
z3
TABLE I.
t.
H.
A
A
2
t.
H.
A
I
~=
180
0'98909 05
43
40
1
54
2'30
0'99885 68
5 56
25
1
.81
0
.98952 45
41 86
1 50
2
.31
0
.99891 24
5 31
24
1
.82
0
.98994 31
40 36
144
2
.
32
0'99896 55
5 07
23
1
.83
0'99034 67
38 92
1 41
2'33
0
.99901 62
4 84
23
1
.84
0
.99073 59
.
37 51
1 36
2
.
34
0'99906 46
4
61
20
1
.85
0'99111 10
36 15
1
33
2
.
35
0
.99911 07
4 41
21
1'86
0'99147 25
34
82
1 27
2
.36
099915 48
4 20
19
1
.87
0'99182 07
33
55
124
2'37
0'99919 68
4 01
19
1
.88
0'99215 62
32 31
1 20
2
.38
0'99923 69
3 82
18
1
.89
0'99247 93
31 11
1 16
2'39
0'99927 51
3 64
17
1
.90
0'99279 04
29 95
1 12
240
0
.99931 15
3 47
16
1
.91
0'99318 99
28 83
1 08
2'41
0'99934 62
3 31
16
1
.92
0'99337 82
27 75
1 06
2
.
42
0'99937 93
3 15
15
1'93
0'99365 57
26 69
1 01
2
.
43
0'99941 08
3 00
14
1
.94
0'99392 26
25 68
99
2
.
44
0'99944 08
2 86
14
1
.95
0'99417 94
24 69
95
2'45
0
.99946 94
2 72
12
1
.96
099442 63
23 74
91
2
.46
0'99949 66
2 60
14
1
.97
0'99466 37
22 83
89
2'47
0
.99952 26
2 46
11
1
.98
099489 20
21 94
85
2
.48
0'99954 72
2 35
11
1
.99
0
.99511 14
21 69
84
2
.49
0
.90957 07
2 24
12
2
.00
0
.
99532
23
20
25
78
2
.50
0'99959 31
2 12
10
2'01
0
.99552 48
19 47
79
2'51
0
.99961 43
2 02
10
2
.02
0
.99571 95
18 68
73
2
.
52
0'99963 45
1 92
9
2'03
0
.99590 63
17 95
72
2
.
53
0
.999655 37
1 83
10
2
.04
0
.99608 58
17 23
69
2
.
54
0
.99967 20
1 73
8
1
2
.05
0
.99625 81
16
54
G7
2
.
55
0
.99968 93
1 65
8
2
.06
099642 35
15 87
65
2
.56
0'99970 58
1 57
7
2'07
0
.99658 22
15 22
61
2
.57
0
.99972 15
150
9
2'08
0'99673
44
14 61
61
2
.58
099973 65
1 41
7
2'09
099688 05
14 00
57
2
.59
0
.99975 06
1
34
7
2'10
0
.99702 05
13 43
55
2
.60
0
.99976 40
1 27
6
2'11
0'99715 48
12 88
54
2'61
0
.99977 67
1 21
6
2
.12
0'99728 36
12 34
51
2
.62
099978 88
1 15
6
2'13
0
.99740 70
11 83
50
2
.63
0
.99980 03
1 09
6
2
.14
0'99752 53
11
33
47
2'64
0
.99981 12
1 03
5
2'15
0'99763 86
10 86
47
2
.65
0
.99982 15
98
5
2
.16
0'99774 72
10 39
43
2
.66
099983 13
93
5
2'17
0
.9978.5 I1
9 96
44
2'67
0
.99984 06
88
4
2'18
0
.99795 07
9 52
39
2
.68
0
.99984 94
84
.5
2'19
0'99804 59
9 13
41
2'69
099985 78
79
4
2
.20
0'99813 72
8 72
36
2'70
0
.99986 57
75
4
2
.21
0
.99822
44
8 36
38
2'71
0
.99987 3°_
71
4
2'22
0'99830 80
7 98
34
272
099988 03
67
4
2'23
0'99838 78
7 64
33
2'73
0
.99988 70
63
2
2
.24
0'99846 42
7 31
33
2
.74
0'99989 33
61
4
2'25
0'99853 73
6 98
30
2'75
0
.99989 94
57
3
2'26
0'99860 71
6 68
30
2
.76
0'99090 51
54
3
2'27
099867 39
6 38
29
2'77
0
.99991 05
51
3
2'28
299873 77
6 09
27
2'78
099991 56
48
2
2
.29
0
.99879 86
5 82 26 2
.79
0'99992 04
46
3
TABLE I.
t. H. A A
Z t.
J H.
A I A
2
2
.80 0
.99992 50
43
2 2
.91 0'99996 13 23 1
2'81 099992 93 41 3 2'92 0'99996 36 22 1
2'82 0'99993 34 38 1 2
.93 0'99996 58 21
2
2
.83 0
.99993 72 37 3 2'94 0
.99996 79 19 1
2'84
0
.99994 09
34
1
2
.95 0'99996 98 18 1
2'85 0
.99994 43
33
2 296 0'99997 16 17 0
2'86 099994 76 31 2 2'97 0'99997 33 17
2
2
.87 0'99995 07 29 2 2
.98 0
.99997 50 15 1
2'88 099995 36 27 1 2
.99 0
.99997 65 14
2'89 0'99995 63 26 2
2'90 0
.99995 89
24
I
1
3
.00 0
.99997 79
y
s
This table has been continued to 3'00 from the data in Kramp's Treatise on Astronomical Refractions. The description of it to the work was written before this addition was made.