We know that the probability of Taylor Swift dying her hair bright pink is .50. Given that she has dyed her hair pink there is a 40% chance that she is complaining about an ex-boyfriend. *ONLY ANSWER D* a.) Write down the information given in terms of the probabilities of event C (Taylor Swift dyes her hair pink) and event D (she is complaining about an ex-boyfriend). b.) What is the probability that Taylor Swift is not complaining about an ex-boyfriend and she dyed her hair pink (hint: think about using the conditional probability you’re given here)? c.) What is the probability that Taylor Swift is not complaining about an ex-boyfriend and she did not dye her hair pink (hint: can you use independence here)? D.) Knowing Taylor Swift is not complaining about an ex-boyfriend, what is the probability that she did not dye her hair pink?

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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Question

We know that the probability of Taylor Swift dying her hair bright pink is .50. Given that she has dyed her hair pink there is a 40% chance that she is complaining about an ex-boyfriend. *ONLY ANSWER D*

a.) Write down the information given in terms of the probabilities of event C (Taylor Swift dyes her hair pink) and event D (she is complaining about an ex-boyfriend).

b.) What is the probability that Taylor Swift is not complaining about an ex-boyfriend and she dyed her hair pink (hint: think about using the conditional probability you’re given here)?

c.) What is the probability that Taylor Swift is not complaining about an ex-boyfriend and she did not dye her hair pink (hint: can you use independence here)?

D.) Knowing Taylor Swift is not complaining about an ex-boyfriend, what is the probability that she did not dye her hair pink?

Standard Normal Cumulative Probability Table
Cumulative probabilities for NEGATIVE z-values are shown in the following table:
0.04
0.0003
0.0004
0.0006
0.0008
0.01
0.02
0.03
0.05
0.0003
0.0004
0.0006
0.06
0.0003
0.0004
0.09
0.0002
0.00
0.07
0.08
0.0003
0.0005
0.0007
-3.4
0.0003
0.0003
0.0003
0.0005
0.0007
0.0005
0.0006
0.0004
0.0006
0.0003
0.0004
0.0005
0.0003
0.0004
0.0003
0.0005
-3.3
0.0005
0.0007
0.0010
-3.2
0.0006
0.0010
0.0013
0.0009
0.0013
0.0009
0.0012
-3.1
0.0009
0.0013
0.0008
0.0008
0.0008
0.0007
-3.0
0.0012
0.0011
0.0011
0.0011
0.0010
-2.9
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
-2.
-2.7
0026
0.0035
0.0047
0.0025
0.0034
0.0045
0.0024
0.0033
0.0044
0.0023
0.0032
0.0043
0
0.0031
0.0022
0.0030
0020
0.0027
0.0037
0.0019
0.0026
0.0036
0.0021
0.0021
0.0029
0.0039
0.0028
0.0038
0.0051
-2.6
0.0041
0.0040
-2.5
0.0062
0.0060
0.0059
0.0057
0.0055
0.0054
0.0052
0.0049
0.0048
0.0082
0.0107
0.0139
0.0179
0.0071
0.0094
0.0122
-2.4
-2.3
0.0080
0.0104
0.0078
0.0102
0.0132
0.0075
0.0099
0.0073
0.0069
0.0091
0.0068
0.0066
0.0087
0.0064
0.0096
0.0125
0.0162
0.0089
0.0084
0.0129
0.0166
0.0113
0.0146
-2.2
0.0136
0.0174
0.0119
0.0116
0.0110
0.0143
-2.1
0.0170
0.0158
0.0154
0.0150
-2.0
0.0228
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
0.0274
0.0262
0.0329
0.0409
-1.9
0.0287
0.0281
0.0268
0.0256
0.0250
0.0239
0.0301
0.0375
0.0244
0.0233
-1.8
0.0359
0.0351
0.0344
0.0336
0.0322
0.0314
0.0307
0.0294
-1.7
-1.6
0.0427
0.0526
0.0446
0.0436
0.0418
0.0401
0.0392
0.0384
0.0367
0.0548
0.0516
0.0505
0.0495
0.0485
0.0475
0.0537
0.0655
0.0465
0.0571
0.0455
0.0559
-1.5
0.0668
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
-1.4
0.0808
0.0793
0.0778
0.0764
0.0749
0.0735
0.0721
0.0708
0.0694
0.0681
0.0951
0.1131
0.1335
0.0918
0.1093
0.1292
0.1515
-1.3
-1.2
0.0968
0.1151
0.0934
0.1112
0.0853
0.1020
0.0901
0.0885
0.1056
0.1251
0.1469
0.0869
0.1038
0.0838
0.0823
0.0985
0.1170
0.1379
0.1075
0.1003
0.1357
0.1587
-1.1
0.1314
0.1271
0.1230
0.1210
0.1190
-1.0
0.1562
0.1539
0.1492
0.1446
0.1423
0.1401
-0.9
-0.8
0.1841
0.2119
0.1814
0.2090
0.1788
0.2061
0.1635
0.1894
0.1762
0.1736
0.2005
0.1711
0.1685
0.1949
0.1660
0.1611
0.2033
0.1977
0.1922
0.1867
-0.7
0.2420
0.2389
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
0.2148
0.2709
0.3050
0.2643
0.2981
-0.6
0.2743
0.2676
0.2611
0.2578
0.2546
0.2514
0.2483
0.2451
-0.5
0.3085
0.3015
0.2946
0.2912
0.2877
0.2843
0.2810
0.2776
-0.4
0.3446
0.3409
0.3372
0.3336
0.3156
0.3300
0.3669
0.3264
0.3228
0.3192
0.3557
0.3121
0.3745
0.4129
0.4522
0.4920
0.3783
0.3632
0.4013
-0.3
0.3821
0.3707
0.3594
0.3520
0.3483
0.4207
0.4602
0.5000
0.4168
0.4562
0.4960
0.4052
0.4443
0.3936
0.4325
0.4721
0.3897
0.4286
0.4681
-0.2
0.4090
0.3974
0.3859
0.4247
0.4641
-0.1
0.4483
0.4404
0.4364
0.0
0.4880
0.4840
0.4801
0.4761
*****
Transcribed Image Text:Standard Normal Cumulative Probability Table Cumulative probabilities for NEGATIVE z-values are shown in the following table: 0.04 0.0003 0.0004 0.0006 0.0008 0.01 0.02 0.03 0.05 0.0003 0.0004 0.0006 0.06 0.0003 0.0004 0.09 0.0002 0.00 0.07 0.08 0.0003 0.0005 0.0007 -3.4 0.0003 0.0003 0.0003 0.0005 0.0007 0.0005 0.0006 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0003 0.0005 -3.3 0.0005 0.0007 0.0010 -3.2 0.0006 0.0010 0.0013 0.0009 0.0013 0.0009 0.0012 -3.1 0.0009 0.0013 0.0008 0.0008 0.0008 0.0007 -3.0 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2. -2.7 0026 0.0035 0.0047 0.0025 0.0034 0.0045 0.0024 0.0033 0.0044 0.0023 0.0032 0.0043 0 0.0031 0.0022 0.0030 0020 0.0027 0.0037 0.0019 0.0026 0.0036 0.0021 0.0021 0.0029 0.0039 0.0028 0.0038 0.0051 -2.6 0.0041 0.0040 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0049 0.0048 0.0082 0.0107 0.0139 0.0179 0.0071 0.0094 0.0122 -2.4 -2.3 0.0080 0.0104 0.0078 0.0102 0.0132 0.0075 0.0099 0.0073 0.0069 0.0091 0.0068 0.0066 0.0087 0.0064 0.0096 0.0125 0.0162 0.0089 0.0084 0.0129 0.0166 0.0113 0.0146 -2.2 0.0136 0.0174 0.0119 0.0116 0.0110 0.0143 -2.1 0.0170 0.0158 0.0154 0.0150 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0274 0.0262 0.0329 0.0409 -1.9 0.0287 0.0281 0.0268 0.0256 0.0250 0.0239 0.0301 0.0375 0.0244 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0322 0.0314 0.0307 0.0294 -1.7 -1.6 0.0427 0.0526 0.0446 0.0436 0.0418 0.0401 0.0392 0.0384 0.0367 0.0548 0.0516 0.0505 0.0495 0.0485 0.0475 0.0537 0.0655 0.0465 0.0571 0.0455 0.0559 -1.5 0.0668 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0951 0.1131 0.1335 0.0918 0.1093 0.1292 0.1515 -1.3 -1.2 0.0968 0.1151 0.0934 0.1112 0.0853 0.1020 0.0901 0.0885 0.1056 0.1251 0.1469 0.0869 0.1038 0.0838 0.0823 0.0985 0.1170 0.1379 0.1075 0.1003 0.1357 0.1587 -1.1 0.1314 0.1271 0.1230 0.1210 0.1190 -1.0 0.1562 0.1539 0.1492 0.1446 0.1423 0.1401 -0.9 -0.8 0.1841 0.2119 0.1814 0.2090 0.1788 0.2061 0.1635 0.1894 0.1762 0.1736 0.2005 0.1711 0.1685 0.1949 0.1660 0.1611 0.2033 0.1977 0.1922 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2709 0.3050 0.2643 0.2981 -0.6 0.2743 0.2676 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.5 0.3085 0.3015 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3156 0.3300 0.3669 0.3264 0.3228 0.3192 0.3557 0.3121 0.3745 0.4129 0.4522 0.4920 0.3783 0.3632 0.4013 -0.3 0.3821 0.3707 0.3594 0.3520 0.3483 0.4207 0.4602 0.5000 0.4168 0.4562 0.4960 0.4052 0.4443 0.3936 0.4325 0.4721 0.3897 0.4286 0.4681 -0.2 0.4090 0.3974 0.3859 0.4247 0.4641 -0.1 0.4483 0.4404 0.4364 0.0 0.4880 0.4840 0.4801 0.4761 *****
Standard Normal Distribution
1
p(z< z,) =
dz
Z1
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279
0.5319
0.5359
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5675
0.5714
0.5753
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.6141
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7517
0.7549
0.7
0.7580
0.7611
0.7642
0.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8365
0.8389
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
1.1
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.8830
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.8980
0.8997
0.9015
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9131
0.9147
0.9162
0.9177
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
2.0
0.9772
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9812
0.9817
2.1
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850
0.9854
0.9857
2.2
0.9861
0.9864
0.9868
0.9871
0.9875
0.9878
0.9881
0.9884
0.9887
0.9890
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
2.4
0.9918
0.9920
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0.9948
0.9949
0.9951
0.9952
2.6
0.9953
0.9955
0.9956
0.9957
0.9959
0.9960
0.9961
0.9962
0.9963
0.9964
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973
0.9974
2.8
0.9974
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.9980
0.9981
2.9
0.9981
0.9982
0.9982
0.9983
0.9984
0.9984
0.9985
0.9985
0.9986
0.9986
3.0
0.9987
0.9987
0.9987
0.9988
0.9988
0.9989
0.9989
0.9989
0.9990
0.9990
3.1
0.9990
0.9991
0.9991
0.9991
0.9992
0.9992
0.9992
0.9992
0.9993
0.9993
3.2
0.9993
0.9993
0.9994
0.9994
0.9994
0.9994
0.9994
0.9995
0.9995
0.9995
3.3
0.9995
0.9995
0.9995
0.9996
0.9996
0.9996
0.9996
0.9996
0.9996
0.9997
3.4
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9997
0.9998
3.5
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
0.9998
3.6
0.9998
0.9998
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
3.7
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
3.8
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
0.9999
3.9
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
|의-|2|3 |4 | 5 |6 | |8 | |0 |1 |2 |3 ||5 |6
lolold
Transcribed Image Text:Standard Normal Distribution 1 p(z< z,) = dz Z1 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 3.6 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.7 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.8 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 3.9 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 |의-|2|3 |4 | 5 |6 | |8 | |0 |1 |2 |3 ||5 |6 lolold
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