Use the z Table to find the area that corresponds to each of the following. Sketch and label each curve. 1. Z= 0.56 2. Z = 1.32 3. Z = -1.05 4. Z=-2.18 5. between z 0.50 and z = 2.33 6. between z = 1.56 and Z= 2.96 7. between z = -1.32 and z = -3 8. between z = -1.75 and z = -2.4 9. betweenz = -2.6 and z = 1.58 10. betweenz= -0.56 and z = 0.70 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Table Z: Areas under the standard normal curve (negative Z)
Second decimal place in z
0.03
0.09
0.08
0.07
0.06
0.05
0.04
0.02
0.01
0.00
* 0.0000 -3.9
0.0001 -3.8
0.0001
0.0002 -3.6
0.0002 -3.5
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
-3.7
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0001
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
0.0002
0.0003 -3.4
0.0005 -3.3
0.0007 -3.2
0.0010 -3.1
0.0013 -3.0
0.0002
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0003
0.0004
0.0004
0.0004
0.0004
0.0004
0.0004
0.0005
0.0005
0.0005
0.0005
0.0005
0.0006
0.0006
0.0006
0.0006
0.0006
0.0007
0.0007
0.0007
0.0008
0.0008
0.0008
0.0008
0.0009
0.0009
0.0009
0.0010
0.0010
0.0011
0.0011 0.0011
0.0012 0.0012 0.0013
0.0013
0.0014
0.0014
0.0015
0.0015 0.0016
0.0016 0.0017
0.0018
0.0018
0.0019
-2.9
0.0026 -2.8
0.0035 -2.7
0.0047 -2.6
0.0062 -2.5
0.0019
0.0020
0.0021
0.0021
0.0022
0.0023
0.0023
0.0024
0.0025
0.0026
0.0036
0.0027
0.0028
0.0029
0.0030
0.0031
0.0032
0.0033
0.0034
0.0037
0.0038
0.0039
0.0040
0.0041
0.0043
0.0044
0.0045
0.0048
0.0049
0.0051
0.0052 0.0054
0.0055
0.0057
0.0059
0.0060
0.0082 -2.4
0.0107 -2.3
0.0139 -2.2
0.0179 -2.1
0.0228 -2.0
0.0064
0.0066
0.0068
0.0069
0.0071
0.0073
0.0075
0.0078
0.0080
0.0084
0.0087
0.0089
0.0091
0.0094
0.0096
0.0099
0.0102 0.0104
0.0110
0.0113
0.0116
0.0119
0.0122
0.0125
0.0129
0.0132
0.0136
0.0143
0.0146
0.0150 0.0154 0.0158 0.0162
0.0166
0.0170 0.0174
0.0183
0.0188
0.0192
0.0197
0.0202
0.0207
0.0212
0.0217
0.0222
0.0287 -1.9
0.0359 -1.8
0.0446 -1.7
0.0548 -1.6
0.0668 -1.5
0.0233
0.0239
0.0244 0.0250
0.0256
0.0262
0.0268
0.0274
0.0281
0.0294
0.0301
0.0307
0.0314
0.0322
0.0329
0.0336
0.0344
0.0351
0.0367
0.0375
0.0384
0.0392
0.0401
0.0409
0.0418
0.0427
0.0436
0.0455
0.0465
0.0475
0.0485
0.0495
0.0505
0.0516
0.0526
0.0537
0.0559
0.0571
0.0582
0.0594
0.0606
0.0618 0.0630
0.0643
0.0655
0.0808 -1.4
0.0968 -1.3
0.1151 -1.2
0.1357 -1.1
0.1587 -1.0
0.0681
0.0694
0.0708
0.0721
0.0735 0.0749
0.0764
0.0778
0.0793
0.0823
0.0838
0.0885
0.1056
0.0853
0.0869
0.0901
0.0918
0.0934
0.0951
0.0985
0.1003
0.1020
0.1038
0.1075
0.1093
0.1112
0.1131
0.1170
0.1190
0.1210
0.1230
0.1251
0.1271
0.1292
0.1314
0.1335
0.1379
0.1401
0.1423
0.1446
0.1469
0.1492
0.1515
0.1539
0.1562
0.1841 -0.9
0.2119 -0.8
0.2420 -0.7
0.2743 -0.6
0.3085 -0.5
0.1611
0.1635
0.1660
0.1685
0.1711
0.1736
0.1762 0.1788
0.1814
0.1867
0.1894
0.1922
0.1949
0.1977
0.2005
0.2033
0.2061
0.2090
0.2148
0.2177
0.2206
0.2236
0.2266
0.2296
0.2327
0.2358
0.2389
0.2451
0.2483
0.2514
0.2546
0.2578
0.2611
0.2643
0.2676
0.2709
0.2776
0.2810
0.2843
0.2877
0.2912
0.2946
0.2981
0.3015
0.3050
0.3446 -0.4
0.3821 -0.3
0.4207 -0.2
0.4602 -0.1
0.5000 -0.0
0.3121
0.3336
0.3372
0.3745
0.3156
0.3192
0.3228
0.3264
0.3300
0.3409
0.3483
0.3520
0.3557
0.3594
0.3632
0.3669
0.3707
0.3783
0.3859
0.3936
0.4013
0.4404
0.4052
0.4443
0.3897
0.3974
0.4090
0.4129
0.4168
0.4247
0.4286
0.4325
0.4364
0.4483
0.4522
0.4562
0.4641
0.4681
0.4721
0.4761
0.4801
0.4840
0.4880
0.4920
0.4960
For values of z<-3.90, the areas are 0.0000 to four decimal places
Transcribed Image Text:Table Z: Areas under the standard normal curve (negative Z) Second decimal place in z 0.03 0.09 0.08 0.07 0.06 0.05 0.04 0.02 0.01 0.00 * 0.0000 -3.9 0.0001 -3.8 0.0001 0.0002 -3.6 0.0002 -3.5 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 -3.4 0.0005 -3.3 0.0007 -3.2 0.0010 -3.1 0.0013 -3.0 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 -2.9 0.0026 -2.8 0.0035 -2.7 0.0047 -2.6 0.0062 -2.5 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026 0.0036 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0037 0.0038 0.0039 0.0040 0.0041 0.0043 0.0044 0.0045 0.0048 0.0049 0.0051 0.0052 0.0054 0.0055 0.0057 0.0059 0.0060 0.0082 -2.4 0.0107 -2.3 0.0139 -2.2 0.0179 -2.1 0.0228 -2.0 0.0064 0.0066 0.0068 0.0069 0.0071 0.0073 0.0075 0.0078 0.0080 0.0084 0.0087 0.0089 0.0091 0.0094 0.0096 0.0099 0.0102 0.0104 0.0110 0.0113 0.0116 0.0119 0.0122 0.0125 0.0129 0.0132 0.0136 0.0143 0.0146 0.0150 0.0154 0.0158 0.0162 0.0166 0.0170 0.0174 0.0183 0.0188 0.0192 0.0197 0.0202 0.0207 0.0212 0.0217 0.0222 0.0287 -1.9 0.0359 -1.8 0.0446 -1.7 0.0548 -1.6 0.0668 -1.5 0.0233 0.0239 0.0244 0.0250 0.0256 0.0262 0.0268 0.0274 0.0281 0.0294 0.0301 0.0307 0.0314 0.0322 0.0329 0.0336 0.0344 0.0351 0.0367 0.0375 0.0384 0.0392 0.0401 0.0409 0.0418 0.0427 0.0436 0.0455 0.0465 0.0475 0.0485 0.0495 0.0505 0.0516 0.0526 0.0537 0.0559 0.0571 0.0582 0.0594 0.0606 0.0618 0.0630 0.0643 0.0655 0.0808 -1.4 0.0968 -1.3 0.1151 -1.2 0.1357 -1.1 0.1587 -1.0 0.0681 0.0694 0.0708 0.0721 0.0735 0.0749 0.0764 0.0778 0.0793 0.0823 0.0838 0.0885 0.1056 0.0853 0.0869 0.0901 0.0918 0.0934 0.0951 0.0985 0.1003 0.1020 0.1038 0.1075 0.1093 0.1112 0.1131 0.1170 0.1190 0.1210 0.1230 0.1251 0.1271 0.1292 0.1314 0.1335 0.1379 0.1401 0.1423 0.1446 0.1469 0.1492 0.1515 0.1539 0.1562 0.1841 -0.9 0.2119 -0.8 0.2420 -0.7 0.2743 -0.6 0.3085 -0.5 0.1611 0.1635 0.1660 0.1685 0.1711 0.1736 0.1762 0.1788 0.1814 0.1867 0.1894 0.1922 0.1949 0.1977 0.2005 0.2033 0.2061 0.2090 0.2148 0.2177 0.2206 0.2236 0.2266 0.2296 0.2327 0.2358 0.2389 0.2451 0.2483 0.2514 0.2546 0.2578 0.2611 0.2643 0.2676 0.2709 0.2776 0.2810 0.2843 0.2877 0.2912 0.2946 0.2981 0.3015 0.3050 0.3446 -0.4 0.3821 -0.3 0.4207 -0.2 0.4602 -0.1 0.5000 -0.0 0.3121 0.3336 0.3372 0.3745 0.3156 0.3192 0.3228 0.3264 0.3300 0.3409 0.3483 0.3520 0.3557 0.3594 0.3632 0.3669 0.3707 0.3783 0.3859 0.3936 0.4013 0.4404 0.4052 0.4443 0.3897 0.3974 0.4090 0.4129 0.4168 0.4247 0.4286 0.4325 0.4364 0.4483 0.4522 0.4562 0.4641 0.4681 0.4721 0.4761 0.4801 0.4840 0.4880 0.4920 0.4960 For values of z<-3.90, the areas are 0.0000 to four decimal places
MELC 11: Identifies regions under the normal curve corresponding to different standard
normal values
Use the z Table to find the area that corresponds to each of the following. Sketch and label
each curve.
1. z 0.56
2. Z=1.32
3. Z= -1.05
4. Z=-2.18
5. betweenz 0.50 and z = 2.33
6. between z = 1.56 and z = 2.96
7. betweenz = -1.32 and z = -3
8. betweenz = -1.75 and z = -2.4
9. betweenz = -2.6 andz = 1.58
10. betweenz = -0.56 and z 0.70
%3D
Transcribed Image Text:MELC 11: Identifies regions under the normal curve corresponding to different standard normal values Use the z Table to find the area that corresponds to each of the following. Sketch and label each curve. 1. z 0.56 2. Z=1.32 3. Z= -1.05 4. Z=-2.18 5. betweenz 0.50 and z = 2.33 6. between z = 1.56 and z = 2.96 7. betweenz = -1.32 and z = -3 8. betweenz = -1.75 and z = -2.4 9. betweenz = -2.6 andz = 1.58 10. betweenz = -0.56 and z 0.70 %3D
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