Below are the scores for Exam 2 82 84 83 80 76 86 77 96 81 83 78 70 76 80 86 89 93 82 88 86 92 87 85 80 75 Normal Distribution notation: N ( mean, SD) SD: Standard Deviation N ( 83, 6.069) 1) Using Table A or the stapplet app Find the probability that a randomly selected student scores higher than 85 %. Upload a picture of the normal curve with the indicated shaded probability. 2) Using Table A or the stapplet app Find the probability that a randomly selected student scores higher than 77% and 86%. Upload a picture of the normal curve with the indicated shaded probability.
Below are the scores for Exam 2 82 84 83 80 76 86 77 96 81 83 78 70 76 80 86 89 93 82 88 86 92 87 85 80 75 Normal Distribution notation: N ( mean, SD) SD: Standard Deviation N ( 83, 6.069) 1) Using Table A or the stapplet app Find the probability that a randomly selected student scores higher than 85 %. Upload a picture of the normal curve with the indicated shaded probability. 2) Using Table A or the stapplet app Find the probability that a randomly selected student scores higher than 77% and 86%. Upload a picture of the normal curve with the indicated shaded probability.
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
Below are the scores for Exam 2
82 84 83 80 76 86 77 96 81 83 78 70 76 80 86 89 93 82 88 86 92 87 85 80 75
N ( mean, SD) SD: Standard Deviation
N ( 83, 6.069)
1) Using Table A or the stapplet app Find the
2) Using Table A or the stapplet app Find the probability that a randomly selected student scores higher than 77% and 86%. Upload a picture of the normal curve with the indicated shaded probability.
![Table A Standard normal probabilities
Z
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
- 1.8
-1.7
-1.6
-1.5
-1.4
-1.3
- 1.2
- 1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
Table entry for z is the
probability lying below z.
-0.4
-0.3
-0.2
-0.1
-0.0
.00
.0003
.0005
,0007
.0010
.0013
.0019
.0026
.0035
.0047
.0062
.0082
.0107
.0139
.0179
.0228
.0287
.0359
.0446
.0548
.0668
.0808
.0968
.1151
.1357
.1587
.1841
.2119
.2420
.2743
.3085
.3446
.3821
.4207
.4602
.5000
.01
.0003
.0005
.0007
.0009
.0013
.0018
.0025
.0034
.0045
.0060
.0080
.0104
.0136
.0174
.0222
,0281
.0351
.0436
.0537
.0655
.0793
.0951
.1131
.1335
.1562
.1814
.2090
.2389
.2709
.3050
.3409
.3783
.4168
.4562
.4960
.02
.0003
.0005
.0006
.0009
.0013
.0018
.0024
.0033
.0044
.0059
.0078
.0102
.0132
.0170
.0217
.0274
.0344
.0427
.0526
.0643
.0778
.0934
1112
.1314
.1539
.1788
.2061
.2358
.2676
.3015
.3372
.3745
.4129
.4522
.4920
Probability
.03
.0003
.0004
.0006
.0009
.0012
.0017
.0023
.0032
.0043
.0057
.0075
.0099
.0129
.0166
.0212
.0268
.0336
.0418
.0516
.0630
.0764
.0918
.1093
.1292
.1515
.1762
.2033
.2327
.2643
.2981
.3336
.3707
.4090
.4483
.4880
.04
.0003
.0004
.0006
.0008
.0012
.0016
.0023
.0031
.0041
.0055
.0073
.0096
.0125
.0162
.0207
.0262
.0329
.0409
0505
.0618
.0749
.0901
.1075
.1271
.1492
.1736
.2005
.2296
.2611
.2946
.3300
.3669
.4052
.4443
.4840
Z
.05
.0003
.0004
.0006
.0008
.0011
.0016
.0022
.0030
.0040
.0054
.0071
.0094
0122
.0158
.0202
.0256
.0322
.0401
0495
.0606
.0735
.0885
.1056
.1251
.1469
.1711
.1977
2266
.2578
2912
.3264
.3632
.4013
.4404
.4801
.06
.0003
.0004
.0006
.0008
.0011
.0015
.0021
.0029
.0039
.0052
.0069
.0091
.0119
.0154
.0197
.0250
.0314
.0392
.0485
.0594
.0721
.0869
.1038
.1230
.1446
1685
.1949
.2236
.2546
2877
.3228
3594
.3974
.4364
4761
.07
0.0003
.0004
.0005
.0008
.0011
.0015
.0021
.0028
.0038
.0051
.0068
.0089
.0116
.0150
.0192
.0244
.0307
.0384
.0475
.0582
.0708
0853
.1020
.1210
.1423
1660
.1922
.2206
.2514
.2843
.3192
.3557
.3936
.4325
.4721
.08
.0003
.0004
.0005
.0007
.0010
.0014
.0020
.0027
.0037
.0049
.0066
.0087
.0113
0146
.0188
.0239
.0301
.0375
0465
0571
.0694
.09
.0002
.0003
0005
.0007
.0010
.0014
.0019
.0026
.0036
.0048
.0064
.0084
.0110
0143
.0183
0233
.0838
.1003
1190
.1401
.1635
.1894
.0294
.0367
0455
.0559
.0681
.0823
.0985
.1170
.1379
.1611
.1867
2177
2148
.2483 .2451
2810
.2776
.3156
3121
3520
.3483
.3897
.3859
.4286
4247
.4681
.4641](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b779863-aa72-4537-9750-69366ddc9e6e%2F0859eed2-c165-4330-8aee-865cf814eda6%2Fwjlaux_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table A Standard normal probabilities
Z
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
- 1.8
-1.7
-1.6
-1.5
-1.4
-1.3
- 1.2
- 1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
Table entry for z is the
probability lying below z.
-0.4
-0.3
-0.2
-0.1
-0.0
.00
.0003
.0005
,0007
.0010
.0013
.0019
.0026
.0035
.0047
.0062
.0082
.0107
.0139
.0179
.0228
.0287
.0359
.0446
.0548
.0668
.0808
.0968
.1151
.1357
.1587
.1841
.2119
.2420
.2743
.3085
.3446
.3821
.4207
.4602
.5000
.01
.0003
.0005
.0007
.0009
.0013
.0018
.0025
.0034
.0045
.0060
.0080
.0104
.0136
.0174
.0222
,0281
.0351
.0436
.0537
.0655
.0793
.0951
.1131
.1335
.1562
.1814
.2090
.2389
.2709
.3050
.3409
.3783
.4168
.4562
.4960
.02
.0003
.0005
.0006
.0009
.0013
.0018
.0024
.0033
.0044
.0059
.0078
.0102
.0132
.0170
.0217
.0274
.0344
.0427
.0526
.0643
.0778
.0934
1112
.1314
.1539
.1788
.2061
.2358
.2676
.3015
.3372
.3745
.4129
.4522
.4920
Probability
.03
.0003
.0004
.0006
.0009
.0012
.0017
.0023
.0032
.0043
.0057
.0075
.0099
.0129
.0166
.0212
.0268
.0336
.0418
.0516
.0630
.0764
.0918
.1093
.1292
.1515
.1762
.2033
.2327
.2643
.2981
.3336
.3707
.4090
.4483
.4880
.04
.0003
.0004
.0006
.0008
.0012
.0016
.0023
.0031
.0041
.0055
.0073
.0096
.0125
.0162
.0207
.0262
.0329
.0409
0505
.0618
.0749
.0901
.1075
.1271
.1492
.1736
.2005
.2296
.2611
.2946
.3300
.3669
.4052
.4443
.4840
Z
.05
.0003
.0004
.0006
.0008
.0011
.0016
.0022
.0030
.0040
.0054
.0071
.0094
0122
.0158
.0202
.0256
.0322
.0401
0495
.0606
.0735
.0885
.1056
.1251
.1469
.1711
.1977
2266
.2578
2912
.3264
.3632
.4013
.4404
.4801
.06
.0003
.0004
.0006
.0008
.0011
.0015
.0021
.0029
.0039
.0052
.0069
.0091
.0119
.0154
.0197
.0250
.0314
.0392
.0485
.0594
.0721
.0869
.1038
.1230
.1446
1685
.1949
.2236
.2546
2877
.3228
3594
.3974
.4364
4761
.07
0.0003
.0004
.0005
.0008
.0011
.0015
.0021
.0028
.0038
.0051
.0068
.0089
.0116
.0150
.0192
.0244
.0307
.0384
.0475
.0582
.0708
0853
.1020
.1210
.1423
1660
.1922
.2206
.2514
.2843
.3192
.3557
.3936
.4325
.4721
.08
.0003
.0004
.0005
.0007
.0010
.0014
.0020
.0027
.0037
.0049
.0066
.0087
.0113
0146
.0188
.0239
.0301
.0375
0465
0571
.0694
.09
.0002
.0003
0005
.0007
.0010
.0014
.0019
.0026
.0036
.0048
.0064
.0084
.0110
0143
.0183
0233
.0838
.1003
1190
.1401
.1635
.1894
.0294
.0367
0455
.0559
.0681
.0823
.0985
.1170
.1379
.1611
.1867
2177
2148
.2483 .2451
2810
.2776
.3156
3121
3520
.3483
.3897
.3859
.4286
4247
.4681
.4641
![Table A (Continued)
2.3
2.4
2.5
2.6
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.7
2.8
2.9
3.0
3.1
3.2
Table entry for z is the
probability lying below z.
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
3.3
3.4
Z
0.0
0.1
0.2
0.3
0.4
.00
.5000
5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
.9032
.9192
.9332
.9452
.9554
9641
.9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
.9990
.9993
.9995
.9997
.01
.5040
.5438
.5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
9719
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
.9987
.9991
.9993
.9995
.9997
.02
.5080
.5478
.5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
.8686
.8888
.9066
.9222
.9357
.9474
.9573
.9656
.9726
.9783
.9830
.9868
.9898
.9922
.9941.
.9956
.9967
.9976
.9982
.9987
.9991
.9994
.9995
.9997
.03
.5120
.5517
.5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
.9484
.9582
.9664
.9732
.9788
.9834
.9871
.9901
.9925
.9943
.9957
.9968
.9977
.9983
.9988
.9991
.9994
.9996
.9997
Probability
.04
.5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
.9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
9927
.9945
.9959
.9969
.9977
.9984
.9988
.9992
.9994
.9996
.9997
.05
.5199
.5596
.5987
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
.9878
.9906
.9929
.9946
9960
.9970
.9978
.9984
.9989
.9992
.9994
9996
.9997
.06
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
9909
.9931
9948
.9961
.9971
.9979
.9985
9989
.9992
9994
.9996
.9997
2
.07
.5279
.5675
.6064
.6443
.6808
.7157
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
.9525
.9616
.9693
.9756
9808
.9850
.9884
.9911
.9932
9949
.9962
9972
.08
.5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.9162
.9306
.9429
.9535
.9625
.9699
.9761
9812
.9854
9887
9913
9916
9934 ..9936
.9951
.9952
.9963
.9964
.9973
.9974
.9980
.9981
.9986
9986
.9990
.9990
.9993
.9993
.9995
.9995
.9996
.9997
.9997
9998
.09
.5359
.5753
.6141
.9979
.9985
.9989
.9992
.9995
.9996
.9997
.6517
.6879
.7224
.7549
.7852
.8133
.8389
.8621
.8830
.9015
9177
.9319
9441
9545
.9633
.9706
.9767
9817
.9857
.9890](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b779863-aa72-4537-9750-69366ddc9e6e%2F0859eed2-c165-4330-8aee-865cf814eda6%2Fecdkd9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Table A (Continued)
2.3
2.4
2.5
2.6
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.7
2.8
2.9
3.0
3.1
3.2
Table entry for z is the
probability lying below z.
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
3.3
3.4
Z
0.0
0.1
0.2
0.3
0.4
.00
.5000
5398
.5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
.9032
.9192
.9332
.9452
.9554
9641
.9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
.9990
.9993
.9995
.9997
.01
.5040
.5438
.5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
9719
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
.9987
.9991
.9993
.9995
.9997
.02
.5080
.5478
.5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
.8686
.8888
.9066
.9222
.9357
.9474
.9573
.9656
.9726
.9783
.9830
.9868
.9898
.9922
.9941.
.9956
.9967
.9976
.9982
.9987
.9991
.9994
.9995
.9997
.03
.5120
.5517
.5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
.9484
.9582
.9664
.9732
.9788
.9834
.9871
.9901
.9925
.9943
.9957
.9968
.9977
.9983
.9988
.9991
.9994
.9996
.9997
Probability
.04
.5160
.5557
.5948
.6331
.6700
.7054
.7389
.7704
7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
.9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
9927
.9945
.9959
.9969
.9977
.9984
.9988
.9992
.9994
.9996
.9997
.05
.5199
.5596
.5987
.6368
.6736
.7088
.7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9265
.9394
.9505
.9599
.9678
.9744
.9798
.9842
.9878
.9906
.9929
.9946
9960
.9970
.9978
.9984
.9989
.9992
.9994
9996
.9997
.06
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
9909
.9931
9948
.9961
.9971
.9979
.9985
9989
.9992
9994
.9996
.9997
2
.07
.5279
.5675
.6064
.6443
.6808
.7157
.7486
.7794
.8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
.9525
.9616
.9693
.9756
9808
.9850
.9884
.9911
.9932
9949
.9962
9972
.08
.5319
.5714
.6103
.6480
.6844
.7190
.7517
.7823
.8106
.8365
.8599
.8810
.8997
.9162
.9306
.9429
.9535
.9625
.9699
.9761
9812
.9854
9887
9913
9916
9934 ..9936
.9951
.9952
.9963
.9964
.9973
.9974
.9980
.9981
.9986
9986
.9990
.9990
.9993
.9993
.9995
.9995
.9996
.9997
.9997
9998
.09
.5359
.5753
.6141
.9979
.9985
.9989
.9992
.9995
.9996
.9997
.6517
.6879
.7224
.7549
.7852
.8133
.8389
.8621
.8830
.9015
9177
.9319
9441
9545
.9633
.9706
.9767
9817
.9857
.9890
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