Assume that adults have IQ scores that are normally distributed with a mean of mu = 100 and a standard deviation sigma = 20. Find the probability that a randomly selected adult has an IQ between 84 and 116 and type an integer or decimal rounded to four decimal places. Make sure to use the positive or negative z score charts attached, in the eBook on MSL, or in a hardcopy of the textbook.

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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Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
0007
.0006
.0006
0006
.0006
.0006
.0005
.0005
.0005
-3.1
.0010
.0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
-3.0
.0013
.0013
.0013
.o012
0012
.001
.01
.0011
.0010
.0010
-2.9
,0019
.0018
.O018
.0017
.0016
.0016
.O015
.0015
.0014
.0014
-2.8
.0026
0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
0045
.0044
.0043
0041
.0040
.0039
.0038
.0037
.0036
-2.5
.0062
0060
0059
.0057
.0055
.0054
.0052
.0051
* 0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
.0136
.0132
.0129
.0125
.0122
.0119
.0116
.013
.0110
-2.1
.0179
.0174
.0170
.0166
0162
.0158
.0154
.0150
0146
.0143
-2.0
.0228
.0222
.0217
.0212
.0207
.0202
.0256
.0197
.0192
.0188
.0183
-1.9
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.0281
.0274
.0268
.0262
.0250
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.0239
.0233
-1.8
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.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
0436
0537
-1.7
.0446
.0427
.0418
0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0526
.0516
0505
* 0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
.0681
-1.3
.0968
.0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
-1.2
1151
1131
112
1093
1075
1056
1038
1020
1003
.0985
-1.1
1357
1335
1314
1292
1271
.1251
1230
1210
1190
1170
-1.0
.1587
1562
1539
1515
1492
1469
1446
.1423
1401
.1379
-0.9
1841
1814
1788
1762
1736
1711
1685
1660
1635
1611
-0.8
.2119
2090
.2061
.2033
.2005
1977
1949
.1922
1894
1867
-0.7
2420
2389
2358
2327
.2296
.2266
2236
2206
2177
.2148
-0.6
2743
2709
2676
2643
2611
2578
2546
.2514
.2483
.2451
-0.5
.3085
.3050
3015
.2981
.2946
.2912
2877
.2843
2810
.2776
-0.4
3446
3409
3372
3336
3300
3264
3228
3192
3156
3121
-0.3
3821
3783
3745
3707
3669
3632
3594
3557
3520
3483
-0.2
4207
4168
4129
4090
4052
4013
3974
.3936
.3897
3859
-0.1
.4602
.4562
4522
.4483
4443
4404
4364
.4325
4286
.4247
-0.0
.5000
4960
4920
.4880
4840
.4801
4761
.4721
4681
.4641
Transcribed Image Text:Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 0007 .0006 .0006 0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .o012 0012 .001 .01 .0011 .0010 .0010 -2.9 ,0019 .0018 .O018 .0017 .0016 .0016 .O015 .0015 .0014 .0014 -2.8 .0026 0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 0045 .0044 .0043 0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 0060 0059 .0057 .0055 .0054 .0052 .0051 * 0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .013 .0110 -2.1 .0179 .0174 .0170 .0166 0162 .0158 .0154 .0150 0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0256 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 0436 0537 -1.7 .0446 .0427 .0418 0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0526 .0516 0505 * 0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 1151 1131 112 1093 1075 1056 1038 1020 1003 .0985 -1.1 1357 1335 1314 1292 1271 .1251 1230 1210 1190 1170 -1.0 .1587 1562 1539 1515 1492 1469 1446 .1423 1401 .1379 -0.9 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611 -0.8 .2119 2090 .2061 .2033 .2005 1977 1949 .1922 1894 1867 -0.7 2420 2389 2358 2327 .2296 .2266 2236 2206 2177 .2148 -0.6 2743 2709 2676 2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 .3050 3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 3446 3409 3372 3336 3300 3264 3228 3192 3156 3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 4207 4168 4129 4090 4052 4013 3974 .3936 .3897 3859 -0.1 .4602 .4562 4522 .4483 4443 4404 4364 .4325 4286 .4247 -0.0 .5000 4960 4920 .4880 4840 .4801 4761 .4721 4681 .4641
Assume that adults have IQ scores that are normally distributed with a mean of mu = 100 and a standard deviation sigma = 20. Find the probability that a randomly selected adult has an IQ between 84 and 116 and type an integer or decimal rounded to four decimal
places. Make sure to use the positive or negative z score charts attached, in the eBook on MSL, or in a hardcopy of the textbook.
Transcribed Image Text:Assume that adults have IQ scores that are normally distributed with a mean of mu = 100 and a standard deviation sigma = 20. Find the probability that a randomly selected adult has an IQ between 84 and 116 and type an integer or decimal rounded to four decimal places. Make sure to use the positive or negative z score charts attached, in the eBook on MSL, or in a hardcopy of the textbook.
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