K Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. Standard Normal Table (Page 1) The area of the shaded region is (Round to four decimal places as needed. ard Normal Table (Page 2) POSITIVE z Scores - X NEGATIVE z Scores 2 -3.50 and lower -3.4 -3.3 -3.2 -3.0 -2.9 -2.8 -2.7 Standard Normal (2) Distribution: Cumulative Area from the LEFT 02 .05 100 0001 0003 0005 0007 0010 0013 0019 0026 0035 01 .03 04 .06 07 0015 0021 0029 08 09 0003 0003 0003 0003 0003 0003 0003 0003 0002 0005 0005 0004 0004 0004 0004 0004 0004 0003 0007 0006 0006 0006 0006 0006 0005 0005 0005 0009 0009 0009 0008 .0008 0008 0008 0007 0007 0013 0013 0012 0012 .0011 0018 0018 0017 0016 0016 0025 0024 0023 0023 0022 0034 0033 0032 0031 0010 0010 con .com 0015 0021 0014 0014 0020 0019 0030 0028 0027 0026 - X 95 120 Q Q G

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4
5
6
K
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Click to view page 1 of the table. Click to view page 2 of the table.
Standard Normal Table (Page 2)
6554
6915
7257
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
5000 5040 5080
5398
5438 5478
5793
5832 5871
7580
7881
.8159
The area of the shaded region is. (Round to four decimal places as needed.
7291
761
6501 6628
0000
7910
.8186
Okos
.02
7324
7642
7939
.8212
www
2005
9066
.03
POSITIVE z Scores
5120
5517
3310
Coo
www
7673
7967
.8238
.8485
.04
.05
5199
3901
7000
8023
.8289
0044
9115
.06
5239
.5636
.6026
CA
7764
.07
www
.08
5279 5319
5675 5714 .5753
6064 6103 6141
can9 6944 6879
0000000
7406 7517
7794 7823
8106
.8315 8340 8365
.8051 8078
.85546577 6999 .8621
00000
9147 9162
9292 9306
9418
9429
9525
.9535
.9629
3000
.09
www
www
COIF
9177
Standard Normal Table (Page 1)
NEGATIVE z Scores
-31
-3.0
-2.9
-2.7
-25
-23
TT
-2.1
-19
ĪĪĪĪĪĪTĪT
154
TT
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
0005
0007
0080
0104
0136
0174
OZEL
0436
0537
0655
0793
.095
1335
1562
1814
2090
2389
2709
02
.0005
0006
0004
0006
0009 .0009 0008
0013
0012
0018 .0017
UUIO
0016
0027 0022 0031 0030
0040
0054
0071
004
0059 0057 0055
0073
008
0125
0170 .0166 VIDE
0217 0212 0207
0344 0336
0418
0749
0329 0322
0409 0401
0505 * 0495
06180606
P
1271
1492
1736
0006
0008
2005
2296
2611
2946
0122 0119
V130
0202
0735
000
Hom
1469
1711
1977
2266
2578
0004
0005
0008
.0011
.0015
0000
0035
0052 0051 * 0049
0068 A 0066
0089
.0116
0130
0102
0207
0384
0475
0582
0708
0033
1010
1423
1660
Ove
1922
2206
2514
0113
20140
007
0301
0694
0838
4100
1894
2483
.0110
.0143
.0183
0681
0823
1170
95 120
Q
Transcribed Image Text:list 4 5 6 K Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. Standard Normal Table (Page 2) 6554 6915 7257 Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 5000 5040 5080 5398 5438 5478 5793 5832 5871 7580 7881 .8159 The area of the shaded region is. (Round to four decimal places as needed. 7291 761 6501 6628 0000 7910 .8186 Okos .02 7324 7642 7939 .8212 www 2005 9066 .03 POSITIVE z Scores 5120 5517 3310 Coo www 7673 7967 .8238 .8485 .04 .05 5199 3901 7000 8023 .8289 0044 9115 .06 5239 .5636 .6026 CA 7764 .07 www .08 5279 5319 5675 5714 .5753 6064 6103 6141 can9 6944 6879 0000000 7406 7517 7794 7823 8106 .8315 8340 8365 .8051 8078 .85546577 6999 .8621 00000 9147 9162 9292 9306 9418 9429 9525 .9535 .9629 3000 .09 www www COIF 9177 Standard Normal Table (Page 1) NEGATIVE z Scores -31 -3.0 -2.9 -2.7 -25 -23 TT -2.1 -19 ĪĪĪĪĪĪTĪT 154 TT Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 0005 0007 0080 0104 0136 0174 OZEL 0436 0537 0655 0793 .095 1335 1562 1814 2090 2389 2709 02 .0005 0006 0004 0006 0009 .0009 0008 0013 0012 0018 .0017 UUIO 0016 0027 0022 0031 0030 0040 0054 0071 004 0059 0057 0055 0073 008 0125 0170 .0166 VIDE 0217 0212 0207 0344 0336 0418 0749 0329 0322 0409 0401 0505 * 0495 06180606 P 1271 1492 1736 0006 0008 2005 2296 2611 2946 0122 0119 V130 0202 0735 000 Hom 1469 1711 1977 2266 2578 0004 0005 0008 .0011 .0015 0000 0035 0052 0051 * 0049 0068 A 0066 0089 .0116 0130 0102 0207 0384 0475 0582 0708 0033 1010 1423 1660 Ove 1922 2206 2514 0113 20140 007 0301 0694 0838 4100 1894 2483 .0110 .0143 .0183 0681 0823 1170 95 120 Q
Expert Solution
Step 1

Given that 

X ~N(μ=100  , σ=15 )
μ=100  , σ=15
Formula for Z-score
Z=(X-μ)/σ
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