trials. The probability of success for each trial is 0.3. What is the probability of obtaining 190-215 successes? Approximate the probability using a normal distribution. (This binomial experiment easily pas the rule-of thumb test for approximating a binomial distribution using a normal distribution, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Si Cick the icon to visw the area under the standard normal curve table. The probability of obta

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A binomial experiment consists of 700 trials. The probability of success for each trial is 0.3. What is the probability of obtaining 190-215 successes? Approximate the probability using a normal distribution. (This binomial experiment easily pas the rule-of thumb test for approximating a binomial distribution using a normal distribution, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Si Cick the icon to visw the area under the standard normal curve table. The probability of obtaining 190-215 successes is approximately? The chart is below
P.5 on eac
00
.01
.02
.03
.04
.05
.06
.07
08
.09
0.0
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
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
is
0.3
0.1179
0.1217
0.1255
0.1293
0.1331
0.1368
0.1406
0.1443
0.1480
0.1517
0.4
0.1554
0.1591
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
OS86
0.3888
1.1
0.3643
0.3665
0.3708
0.3907
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
1.2
0.3849
0.3869
0.3925
0.3944
0.3962
0.3980
0.3997
0.4015
1.3
0.4032
0.4049
0.4066
0.4082
0.4099
0.4115
0.4131
0.4147
0.4162
0.4177
1.4
0.4207
0.4222
0.4306
0.4429
0,4192
0.4236
0.4251
0.4279
0.4292
0.4418
0.4265
0.4319
1.5
0.4332
0.4345
0.4357
0.4370
0.4382
0.4394
0.4406
0.4441
1.6
0.4452
0.4463
0.4474
0.4484
0.4495
0.4505
0.4515
0.4525
0.4535
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
0,4713
0.4726
0.4732
0.4788
0.4738
0.4750
0.4803
1.9
0.4719
0.4744
0.4756
0.4761
0.4767
2.0
0.4772
0.4778
0.4783
0.4793
0.4798
0.4808
0.4812
0.4817
2.1
0.4821
0.4826
0.4830
0.4834
0.4838
0.4842
0.4846
0.4850
0.4854
0.4857
2.2
0.4861
0.4864
0.4868
0.4871
0.4875
0.4878
0,4881
0.4884
0.4887
0.4890
2.3
0.4893
0.4896
0.4898
0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
2.4
0.4918
0.4920
0.4922
0.4925
0.4927
0.4929
0.4931
0.4932
0.4934
0.4936
2.5
0.4938
0.4940
0.4941
0.4943
0.4945
0.4946
0.4948
0.4949
0.4951
0.4952
0.4961
0.4964
0,4956
0.4967
2.6
0.4953
0,4955
0.4957
0.4959
0.4960
0.4962
0,4963
2.7
0.4965
0.4966
0.4968
0.4969
0.4970
0.4971
0.4972
0.4973
0.4974
2.8
0.4974
0.4975
0.4976
0.4977
0.4977
0.4978
0.4979
0,4979
0.4980
0.4981
2.9
0.4981
0.4982
0.4982
0.4983
0.4984
0,4984
0.4985
0.4985
0.4986
0.4986
0.4987
0.4987
0.4987
0.4988
0.4988
0.4989
0,4989
0.4989
0.4990
0.4990
3.0
3.1
0.4990
0.4991
0.4991
0.4991
0.4992
0.4992
0.4992
0.4992
0.4993
0.4993
3.2
0.4993
0.4993
0.4994
0.4994
0.4994
0.4994
0.4994
0.4995
0.4995
0.4995
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Transcribed Image Text:P.5 on eac 00 .01 .02 .03 .04 .05 .06 .07 08 .09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 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 is 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 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 OS86 0.3888 1.1 0.3643 0.3665 0.3708 0.3907 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4207 0.4222 0.4306 0.4429 0,4192 0.4236 0.4251 0.4279 0.4292 0.4418 0.4265 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 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 0,4713 0.4726 0.4732 0.4788 0.4738 0.4750 0.4803 1.9 0.4719 0.4744 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4793 0.4798 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0,4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 0.4961 0.4964 0,4956 0.4967 2.6 0.4953 0,4955 0.4957 0.4959 0.4960 0.4962 0,4963 2.7 0.4965 0.4966 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0,4979 0.4980 0.4981 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0,4984 0.4985 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0,4989 0.4989 0.4990 0.4990 3.0 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 Print Done Clear all w an example Textbook
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