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
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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.

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
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
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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