In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 200 or fewer will have 2 girls? Approximate a binomial distribution with a nomal distribution. E Click the icon to view the area under the standard nomal curve table. The probability that 200 or fewer families will have 2 girls is. (Round to four decimal places as needed.)
In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 200 or fewer will have 2 girls? Approximate a binomial distribution with a nomal distribution. E Click the icon to view the area under the standard nomal curve table. The probability that 200 or fewer families will have 2 girls is. (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
 alt="0.4177
utand
Area
corresponding
to
have 2
2.
(Table Entries Represent the Area under the Standard Normal Curve from 0 to z, z20)
.07
0.0279
02
.03
0.0120
.00
.01
.04
.05
.06
.08
.09
0.0
0.0000
0.0040
0,0080
0,0160
0.0199
0.0239
0.0319
0.0359
0.1
0.0398
0.0438
0.0478
0.0517
0.0557
0.0596
0.0636
0.0675
0.0714
0.0753
0.2
0.0793
0.0832
0.0871
0.0910
0.0948
0.0987
0.1026
0.1064
0.1103
0.1141
0.1217
0.1591
0.3
0.1179
0.1255
0.1293
0.1331
0.1368
0.1406
0.1443
0.1480
0.1517
0.4
0.1554
0.1628
0.1664
0.1700
0.1736
0.1772
0.1808
0.1844
0.1879
0.5
0.1915
0.1950
0.1985
0.2019
0.2054
0.2088
0.2123
0.2157
0.2190
0.2224
0.6
0.2257
0.2291
0.2324
0.2357
0.2389
0.2422
0.2454
0.2486
0.2517
0.2549
0.7
0.2580
0.2611
0.2642
0.2673
0.2704
0.2734
0.2764
0.2794
0.2823
0.2852
0.8
0.2881
0.2910
0.2939
0.2967
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.9
0.3159
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
1.0
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
1.1
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
1.2
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.4015
13
0.4032
0.4049
0.4066
0.4082
0.4099
0.4115
0.4131
0.4147
0.4162
0.4177
1.4
0.4192
0.4207
0.4222
0.4236
0.4251
0.4265
0.4279
0.4292
0.4306
0.4319
1.5
0.4332
0.4345
0.4357
0.4429
0.4535
0.4370
0.4382
0.4394
0.4406
0.4418
0.4441
1.6
0,4452
0.4463
0,4474
0.4484
0.4495
0.4505
0.4515
0.4525
0.4545
1.7
0.4554
0.4564
0.4573
0.4582
0.4591
0,4599
0.4608
0.4616
0.4625
0.4633
1.8
0.4641
0.4649
0.4656
0.4664
0.4671
0.4678
0.4686
0.4693
0.4699
0.4706
1.9
0.4713
0.4719
0.4726
0.4744
0.4798
0.4732
0.4738
0.4750
0.4756
0.4761
0.4767
2.0
0.4772
0.4778
0.4783
0.4788
0.4793
0.4803
0.4808
0.4812
0.4817
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Transcribed Image Text:0.4177
utand
Area
corresponding
to
have 2
2.
(Table Entries Represent the Area under the Standard Normal Curve from 0 to z, z20)
.07
0.0279
02
.03
0.0120
.00
.01
.04
.05
.06
.08
.09
0.0
0.0000
0.0040
0,0080
0,0160
0.0199
0.0239
0.0319
0.0359
0.1
0.0398
0.0438
0.0478
0.0517
0.0557
0.0596
0.0636
0.0675
0.0714
0.0753
0.2
0.0793
0.0832
0.0871
0.0910
0.0948
0.0987
0.1026
0.1064
0.1103
0.1141
0.1217
0.1591
0.3
0.1179
0.1255
0.1293
0.1331
0.1368
0.1406
0.1443
0.1480
0.1517
0.4
0.1554
0.1628
0.1664
0.1700
0.1736
0.1772
0.1808
0.1844
0.1879
0.5
0.1915
0.1950
0.1985
0.2019
0.2054
0.2088
0.2123
0.2157
0.2190
0.2224
0.6
0.2257
0.2291
0.2324
0.2357
0.2389
0.2422
0.2454
0.2486
0.2517
0.2549
0.7
0.2580
0.2611
0.2642
0.2673
0.2704
0.2734
0.2764
0.2794
0.2823
0.2852
0.8
0.2881
0.2910
0.2939
0.2967
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.9
0.3159
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
1.0
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
1.1
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
1.2
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.4015
13
0.4032
0.4049
0.4066
0.4082
0.4099
0.4115
0.4131
0.4147
0.4162
0.4177
1.4
0.4192
0.4207
0.4222
0.4236
0.4251
0.4265
0.4279
0.4292
0.4306
0.4319
1.5
0.4332
0.4345
0.4357
0.4429
0.4535
0.4370
0.4382
0.4394
0.4406
0.4418
0.4441
1.6
0,4452
0.4463
0,4474
0.4484
0.4495
0.4505
0.4515
0.4525
0.4545
1.7
0.4554
0.4564
0.4573
0.4582
0.4591
0,4599
0.4608
0.4616
0.4625
0.4633
1.8
0.4641
0.4649
0.4656
0.4664
0.4671
0.4678
0.4686
0.4693
0.4699
0.4706
1.9
0.4713
0.4719
0.4726
0.4744
0.4798
0.4732
0.4738
0.4750
0.4756
0.4761
0.4767
2.0
0.4772
0.4778
0.4783
0.4788
0.4793
0.4803
0.4808
0.4812
0.4817
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 alt="In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 200 or fewer will have 2 girls? Approximate a binomial
distribution with a normal distribution.
E Click the icon to view the area under the standard normal curve table.
The probability that 200 or fewer families will have 2 girls is-
(Round to four decimal places as needed.)
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Transcribed Image Text:In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 200 or fewer will have 2 girls? Approximate a binomial
distribution with a normal distribution.
E Click the icon to view the area under the standard normal curve table.
The probability that 200 or fewer families will have 2 girls is-
(Round to four decimal places as needed.)
Clear all
Check answer
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