A couple plans to have children until they have a girl. Suppose that they set no limit on the number of children. Each child has probability 0.49 of being a girl and 0.51 of being a boy. Simulate 25 repetitions, using Table A of random digits, starting at line 104.What is your estimate of the expected number of children? (Use decimal notation. Give your answer to two decimal place.) expected number of children:

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A couple plans to have children until they have a girl. Suppose that they set no limit on the number of children. Each child has probability 0.49 of being a girl and 0.51 of being a boy. Simulate 25 repetitions, using Table A of random digits, starting at line 104.What is your estimate of the expected number of children?

(Use decimal notation. Give your answer to two decimal place.)

expected number of children:
 
1 / 2
101%
TABLE A Random digits
Line
28713
01927
00095
96409
12531
82853
42544
82425
95034
47150
71709
38889
101
19223
05756
102
73676
99400
27754
42648
36290
77558
93074
32863
40011
60779
29485
85848
82226
48767
17297
50211
90056
52573
59335
47487
14893
18883
103
45467
104
52711
60227
69971
15529
91481
72765
53791
57067
105
95592
94007
68417
82739
60940
35013
85089
106
107
108
57890
20807
47511
81676
55300
94383
72024
19365
48789
17868
15412
18338
60513
04634
40325
75730
94322
24943
39638
61790
85453
90656
46816
42006
71238
87964
83485
109
36009
41979
110
38448
08708
39950
45785
11776
24697
39364
76688
111
81486
69487
09297
00412
27649
59636
62568
45149
88804
112
113
19352
71080
03819
73698
65103
73089
22553
56202
84898
11486
02938
71197
70206
03699
114
32992
66280
70915
32592
61181
61041
77684
26056
115
31893
50490
24709
14526
116
117
14459
38167
31424
80371
70632
62253
98532
62183
23417
26185
41448
75532
118
73190
32533
04470
87664
39421
84407
90785
65956
98624
43742
29669
86382
119
95857
07118
92099
66979
35435
47052
75186
58806
84826
120
35476
55972
65850
04266
61683
11937
121
71487
09984
81598
29077
14863
90908
56027
49497
71868
51025
95761
62224
122
13873
95052
27102
43367
73592
87136
41842
123
54580
71035
81507
55892
33063
81868
124
09001
12149
72719
96758
27611
91596
125
96746
37823
35119
88741
16925
18442
62103
39244
126
96927
19931
36809
74192
77567
48409
41903
36071
127
43909
99477
25330
64359
40085
85117
81982
00795
87201
45195
128
15689
14227
06565
14374
13352
49367
87209
129
36759
58984
68288
22913
18638
54303
08727
130
69051
64817
16632
55259
87174
81194
09517
84534
06489
97245
131
05007
14873
04197
85576
93739
96565
132
68732
84292
08796
43165
31685
97150
133
45740
41807
65561
33302
07051
93623
37741
19876
08563
15373
18132
09547
134
27816
78416
18329
21337
78458
35213
04312
68508
135
66925
55658
39100
11206
87151
31260
136
08421
44753
77377
28744
75592
79140
92454
137
53645
66812
61421
47836
12609
98481
14592
138
66831
68908
40772
21558
47781
79177
48394
33586
06928
139
55588
99404
70708
41098
43563
56934
51719
140
12975
13258
35964
50232
13048
45144
72321
81940
00360
02428
141
96767
23822
97892
96012
94591
77919
65194
50842
24870
88604
53372
04178
142
72829
63408
44575
143
88565
42628
17797
49376
61762
16953
12724
144
62964
88145
12633
83083
57857
69453
46109
59505
69680
00900
145
19687
95806
09931
60705
02150
43163
58636
146
37609
59057
66967
83401
02384
90597
93600
147
54973
86278
88737
74351
47500
84552
19909
67181
148
00694
05977
19664
65441
20903
62371
22725
53340
149
71546
05233
53946
68743
72460
27601
45403
150
07511
88915
88692
41267
16853
84569
79367
32337
03316
667
Transcribed Image Text:1 / 2 101% TABLE A Random digits Line 28713 01927 00095 96409 12531 82853 42544 82425 95034 47150 71709 38889 101 19223 05756 102 73676 99400 27754 42648 36290 77558 93074 32863 40011 60779 29485 85848 82226 48767 17297 50211 90056 52573 59335 47487 14893 18883 103 45467 104 52711 60227 69971 15529 91481 72765 53791 57067 105 95592 94007 68417 82739 60940 35013 85089 106 107 108 57890 20807 47511 81676 55300 94383 72024 19365 48789 17868 15412 18338 60513 04634 40325 75730 94322 24943 39638 61790 85453 90656 46816 42006 71238 87964 83485 109 36009 41979 110 38448 08708 39950 45785 11776 24697 39364 76688 111 81486 69487 09297 00412 27649 59636 62568 45149 88804 112 113 19352 71080 03819 73698 65103 73089 22553 56202 84898 11486 02938 71197 70206 03699 114 32992 66280 70915 32592 61181 61041 77684 26056 115 31893 50490 24709 14526 116 117 14459 38167 31424 80371 70632 62253 98532 62183 23417 26185 41448 75532 118 73190 32533 04470 87664 39421 84407 90785 65956 98624 43742 29669 86382 119 95857 07118 92099 66979 35435 47052 75186 58806 84826 120 35476 55972 65850 04266 61683 11937 121 71487 09984 81598 29077 14863 90908 56027 49497 71868 51025 95761 62224 122 13873 95052 27102 43367 73592 87136 41842 123 54580 71035 81507 55892 33063 81868 124 09001 12149 72719 96758 27611 91596 125 96746 37823 35119 88741 16925 18442 62103 39244 126 96927 19931 36809 74192 77567 48409 41903 36071 127 43909 99477 25330 64359 40085 85117 81982 00795 87201 45195 128 15689 14227 06565 14374 13352 49367 87209 129 36759 58984 68288 22913 18638 54303 08727 130 69051 64817 16632 55259 87174 81194 09517 84534 06489 97245 131 05007 14873 04197 85576 93739 96565 132 68732 84292 08796 43165 31685 97150 133 45740 41807 65561 33302 07051 93623 37741 19876 08563 15373 18132 09547 134 27816 78416 18329 21337 78458 35213 04312 68508 135 66925 55658 39100 11206 87151 31260 136 08421 44753 77377 28744 75592 79140 92454 137 53645 66812 61421 47836 12609 98481 14592 138 66831 68908 40772 21558 47781 79177 48394 33586 06928 139 55588 99404 70708 41098 43563 56934 51719 140 12975 13258 35964 50232 13048 45144 72321 81940 00360 02428 141 96767 23822 97892 96012 94591 77919 65194 50842 24870 88604 53372 04178 142 72829 63408 44575 143 88565 42628 17797 49376 61762 16953 12724 144 62964 88145 12633 83083 57857 69453 46109 59505 69680 00900 145 19687 95806 09931 60705 02150 43163 58636 146 37609 59057 66967 83401 02384 90597 93600 147 54973 86278 88737 74351 47500 84552 19909 67181 148 00694 05977 19664 65441 20903 62371 22725 53340 149 71546 05233 53946 68743 72460 27601 45403 150 07511 88915 88692 41267 16853 84569 79367 32337 03316 667
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