Table entry Table entry for z is the area under the standard Normal curve to the left of z. > TABLE B Standard Normal probabilities .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 3.3 .0003 .0005 .0007 .0010 .0003 .0003 .0005 0006 .0009 0013 0018 .0024 .0003 .0004 .0006 .0009 .0003 .0004 .0006 .0003 .0004 .0003 .0003 .0004 .0003 .0004 .0002 .0003 .0005 .0004 3.2 .0007 .0009 .0006 .0006 .0008 .0005 .0008 .0005 .0005 -3.1 3.0 .0008 .0012 .0016 .0008 .0007 .0010 .0014 .0020 .0027 .0037 .0049 .0066 .0087 0113 0007 .0010 .0013 .0019 .0026 .0035 .0047 .0013 .0018 .0025 .0034 .0045 .0060 .0080 0104 0136 0174 .0222 .0281 .0012 .0017 .0011 .0016 .0011 0015 .0011 -2.9 .0015 .0021 .0028 .0038 .0051 .0068 .0089 .0116 .0150 .0192 .0244 .0307 .0384 .0475 0582 .0708 .0853 1020 1210 .1423 .0014 .0019 .0026 0036 0048 .0064 -2.8 .0023 .0023 0022 .0030 .0040 .0054 0071 .0094 0122 0158 .0021 -2.7 .0033 .0032 .0043 .0057 .0075 .0099 0129 .0166 .0212 .0268 0336 .0418 .0516 0031 .0041 .0055 .0073 .0096 .0125 0162 .0207 .0262 .0029 -2.6 .0044 0039 .0052 .0069 0091 0119 0154 0197 0250 .0314 0392 .0485 0594 0721 .0869 .1038 .1230 2.5 .0062 0059 2.4 .0082 .0078 -2.3 -2.2 .0107 .0139 .0179 .0228 0287 .0359 .0446 0548 .0668 .0808 .0968 1151 0102 0132 0084 0110 0143 0183 0233 0294 .0367 0455 -2.1 0170 0217 0274 0344 .0427 0146 .0188 -2.0 .0202 .0256 -1.9 .0239 .0301 -1.8 .0351 .0329 0322 .0401 .0495 .0606 .0735 .0885 -1.7 .0436 .0537 .0655 .0793 .0951 1131 .1335 .0409 .0505 .0618 .0749 .0901 1075 .1271 0375 .0465 -1.6 0526 .0643 .0778 0934 112 1314 -1.5 .0630 .0764 0918 .1093 ,1292 .1515 1762 .2033 2327 2643 2981 3336 .0571 .0694 .0838 1003 1190 1401 1635 .1894 2177 2483 2810 3156 3520 3897 4286 4681 -1.4 .0559 .0681 1.3 -1.2 0823 .0985 .1170 1379 1611 .1867 2148 2451 2776 3121 .1056 1357 1587 1.1 1251 -1.0 .1562 .1814 2090 2389 2709 3050 3409 3783 .1539 .1492 .1736 2005 1469 .1446 1685 .1949 2236 2546 2877 3228 0.9 1841 .2119 2420 2743 1788 2061 2358 .1711 ,1977 .1660 .1922 2206 0.8 0.7 .2296 2611 2946 3300 2266 0.6 2676 3015 3372 3745 2578 2912 3264 3632 .2514 2843 3192 3557 0.5 -0.4 3085 3446 3821 0.3 3707 4090 4483 3669 4052 .4443 4840 3594 3974 4364 4761 3483 3859 4247 0.2 0.1 4207 4602 5000 .4168 .4562 .4960 4129 4522 4920 4013 4404 4801 3936 4325 4721 0.0 4880 .4641 (continued)

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
Use table to find the values for the normal standard distribution
bles.pdf
| –
+ | E O
63%
-
Table entry
Table entry for z is the area under
the standard Normal curve to the
left of z.
> TABLE B Standard Normal probabilities
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.4
3.3
.0003
.0005
.0003
.0005
.0003
.0005
.0003
.0004
.0006
0008
.0012
.0003
.0004
.0006
.0002
.0003
.0004
.0003
.0004
.0006
.0003
.0003
.0004
.0004
.0003
-3.2
-3.1
-3.0
.0007
.0006
.0007
.0009
.0013
0006
.0005
.0008
.0011
.0015
.0021
0028
.0005
.0005
.0010
.0009
.0009
.0012
.0008
.0011
.0008
.0007
.0010
.0007
.0010
.0013
0018
.0024
.0033
0044
0059
.0078
0102
0132
0170
0217
0274
0344
.0013
.0019
.0011
.0015
.0017
.0023
.0032
0043
.0057
.0075
.0099
0129
.0018
.0025
-2.9
.0016
0016
.0014
.0020
.0027
.0037
.0014
.0019
.0026
.0035
.0047
.0062
.0082
0023
0031
0041
-2.8
.0022
.0021
.0030
.0040
.0054
0071
.0094
0122
.0029
.0039
-2.7
.0034
0045
.0026
0036
.0048
0064
2.6
.0038
.0055
.0052
.0069
.0051
.0068
.0060
.0049
.0066
.0087
-2.5
.0073
.0096
.0125
.0162
.0207
.0262
-2.4
.0080
.0107
0139
0179
.0228
0104
0136
0174
0222
.0089
.0116
0150
.0192
0084
0110
0143
.0183
-2.3
0091
0119
.0154
0197
0250
0314
0392
0485
0594
0721
0869
.1038
1230
-2.2
-2.1
.0113
.0166
.0212
.0268
0158
.0202
.0146
.0188
-2.0
0256
.0322
0401
.0495
.0244
.02 39
0301
0375
.0465
.0571
.0694
.0838
1003
1190
1401
1635
.1894
2177
2483
2810
3156
3520
-1.9
0233
.0287
.0359
.0446
0548
.0668
.0808
.0968
1151
1357
1587
1841
.2119
2420
.2743
3085
3446
3821
4207
.4602
5000
.0281
-1.8
0336
.0329
0294
.0351
.0436
.0537
.0655
.0793
.0951
1131
.1335
.1562
.0307
.0384
.0475
.0582
0708
.0853
0367
0455
.0418
.0516
.0630
.0764
.0918
.0427
0526
.0643
0778
0934
1112
.1314
.0409
.0505
.0618
.0749
.0901
1075
.1271
.1492
.1736
2005
.2296
-1.7
-1.6
1.5
0606
.0559
.0681
.0735
0885
.1056
.1251
-1.4
0823
0985
.1170
1379
-1.3
1020
1210
-1.2
.1093
-1.1
1.1
1292
1515
1762
2033
2327
1469
1711
.1977
2266
.2578
1423
.1660
.1922
-1.0
1539
.1446
1611
-0.9
-0.8
.1814
2090
2389
2709
3050
3409
3783
1788
2061
2358
2676
3015
3372
3745
1685
.1867
.1949
2236
2546
2877
3228
3594
3974
4364
2206
2514
2843
3192
3557
0.7
2148
2451
2776
3121
3483
0.6
2643
2611
2981
3336
2946
3300
3669
-0.5
2912
3264
3632
0.4
3707
4090
4483
4880
0.3
3897
.4286
4681
3936
3859
.4168
.4562
.4960
4052
.4443
4840
4013
4404
4801
0.2
4129
4325
4721
4247
4522
4920
0.1
-0.0
4761
4641
(continued)
Transcribed Image Text:bles.pdf | – + | E O 63% - Table entry Table entry for z is the area under the standard Normal curve to the left of z. > TABLE B Standard Normal probabilities .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 3.3 .0003 .0005 .0003 .0005 .0003 .0005 .0003 .0004 .0006 0008 .0012 .0003 .0004 .0006 .0002 .0003 .0004 .0003 .0004 .0006 .0003 .0003 .0004 .0004 .0003 -3.2 -3.1 -3.0 .0007 .0006 .0007 .0009 .0013 0006 .0005 .0008 .0011 .0015 .0021 0028 .0005 .0005 .0010 .0009 .0009 .0012 .0008 .0011 .0008 .0007 .0010 .0007 .0010 .0013 0018 .0024 .0033 0044 0059 .0078 0102 0132 0170 0217 0274 0344 .0013 .0019 .0011 .0015 .0017 .0023 .0032 0043 .0057 .0075 .0099 0129 .0018 .0025 -2.9 .0016 0016 .0014 .0020 .0027 .0037 .0014 .0019 .0026 .0035 .0047 .0062 .0082 0023 0031 0041 -2.8 .0022 .0021 .0030 .0040 .0054 0071 .0094 0122 .0029 .0039 -2.7 .0034 0045 .0026 0036 .0048 0064 2.6 .0038 .0055 .0052 .0069 .0051 .0068 .0060 .0049 .0066 .0087 -2.5 .0073 .0096 .0125 .0162 .0207 .0262 -2.4 .0080 .0107 0139 0179 .0228 0104 0136 0174 0222 .0089 .0116 0150 .0192 0084 0110 0143 .0183 -2.3 0091 0119 .0154 0197 0250 0314 0392 0485 0594 0721 0869 .1038 1230 -2.2 -2.1 .0113 .0166 .0212 .0268 0158 .0202 .0146 .0188 -2.0 0256 .0322 0401 .0495 .0244 .02 39 0301 0375 .0465 .0571 .0694 .0838 1003 1190 1401 1635 .1894 2177 2483 2810 3156 3520 -1.9 0233 .0287 .0359 .0446 0548 .0668 .0808 .0968 1151 1357 1587 1841 .2119 2420 .2743 3085 3446 3821 4207 .4602 5000 .0281 -1.8 0336 .0329 0294 .0351 .0436 .0537 .0655 .0793 .0951 1131 .1335 .1562 .0307 .0384 .0475 .0582 0708 .0853 0367 0455 .0418 .0516 .0630 .0764 .0918 .0427 0526 .0643 0778 0934 1112 .1314 .0409 .0505 .0618 .0749 .0901 1075 .1271 .1492 .1736 2005 .2296 -1.7 -1.6 1.5 0606 .0559 .0681 .0735 0885 .1056 .1251 -1.4 0823 0985 .1170 1379 -1.3 1020 1210 -1.2 .1093 -1.1 1.1 1292 1515 1762 2033 2327 1469 1711 .1977 2266 .2578 1423 .1660 .1922 -1.0 1539 .1446 1611 -0.9 -0.8 .1814 2090 2389 2709 3050 3409 3783 1788 2061 2358 2676 3015 3372 3745 1685 .1867 .1949 2236 2546 2877 3228 3594 3974 4364 2206 2514 2843 3192 3557 0.7 2148 2451 2776 3121 3483 0.6 2643 2611 2981 3336 2946 3300 3669 -0.5 2912 3264 3632 0.4 3707 4090 4483 4880 0.3 3897 .4286 4681 3936 3859 .4168 .4562 .4960 4052 .4443 4840 4013 4404 4801 0.2 4129 4325 4721 4247 4522 4920 0.1 -0.0 4761 4641 (continued)
(a) Find the proportion of observations such that z > 2.85. (Enter your answer rounded to four decimal places.)
proportion:
(b) Find the proportion of observations such that-1.66 < z < 2.85. (Enter your answer rounded to four decimal places.)
proportion:
(c) Find the point z with 25% of the observations falling below it. (Enter your answer rounded to two decimal places.)
z =
(d) Find the point z with 40% of the observations falling above it. (Enter your answer rounded to two decimal places.)
z =
Transcribed Image Text:(a) Find the proportion of observations such that z > 2.85. (Enter your answer rounded to four decimal places.) proportion: (b) Find the proportion of observations such that-1.66 < z < 2.85. (Enter your answer rounded to four decimal places.) proportion: (c) Find the point z with 25% of the observations falling below it. (Enter your answer rounded to two decimal places.) z = (d) Find the point z with 40% of the observations falling above it. (Enter your answer rounded to two decimal places.) z =
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