For the normal distributions shown to the right, find the probability that an observation falls in the shaded region. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. The probability that an observation falls in the shaded area is (Round to four decimal places as needed.) a. p+1.110 H-1.54g p+1.54

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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4

For the normal distributions shown to the right, find the probability that an observation falls in the shaded region.
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
a. The probability that an observation falls in the shaded area is
(Round to four decimal places as needed.)
a.
μ+1.110
b.
μ-1.540
μ+1.540
Transcribed Image Text:For the normal distributions shown to the right, find the probability that an observation falls in the shaded region. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a. The probability that an observation falls in the shaded area is (Round to four decimal places as needed.) a. μ+1.110 b. μ-1.540 μ+1.540
normal table (Page 2)
N
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
08
09
1.0
1.1
1.2
Cumulative
probability
.02
.03
Cumulative probability for z is the area under
the standard normal curve to the left of z
.05
.08
.09
.06
52.39
.07
5279
$199
5319
5359
5636 .5675
S714 5753
.6103
.6141
.6480 .6517
5596
5987 .6026 .6064
.6368 .6406 6443
.6736 .6772 .6808
.7123 .7157
.7454 .7486 .7517
.6879
.6844
.7190
.7224
.7549
.7764
.7794
7823
.7852
.8051
.8078
.8106
8133
.8315
.8340
.8365
.8389
8554
.8577
.8599
8621
8770
.8790
.8810
.8830
8962 8980
.8997
.9015
.00
.01
.04
5000
5040
5080
$120
$160
5398 5438 5478
5517
5557
5793 5832 5871 5910 5948
.6179 6217 6255 6293 .6331
.6554 6591 6628 .6664 .6700
.6915 .6950 6985 .7019 .7054 7088
7324 7357 .7389 .7422
7673 7704 7734
.7257
.7291
.7642
.7611
.7580
7881 .7910 .7939
.7967
7995
.8023
8159 .8186
.8212
.8238
8264
8289
8413 .8438 .8461 .8485
.8508
8531
.8643
.8665
.8686
.8708
.8729
.8749
8849
.8869
8888
.8907
.8925 .8944
X
Standard normal table (Page 1)
2
-5.0
-4.5
-4.0
-3.5
.00
.000000287
.00000340
.0000317
.000233
Cumulative
probability
Z
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-28
-2.7
-26
-2.5
-24
-2.3
-22
-2.1
Z
.00
.01
.0003 .0003
.0005 0005
.0007 .0007
0010 .0009
.0013
.0013
0019 0018
.0026 .0025
0035
.0047
0034
0045
.0062 .0060
0082 .0080
0104
0107
.0139 0136
0179
0174
02
Cumulative probability for z is the area under
the standard normal curve to the left of z
.04
.05
06
.03
.0003
0005
0003 0003 0003
0004 0004 0004
.0006 .0006 .0006 0006
.0009 0009 .0008 0008
0013
.0012 0012 .0011
0018 0017 0016 0016
.0024 0023 0023 .0022
0033 0032 .0031 0030
0044 0043 0041 0040
0059 0057 .0055
.0054 .0052
.0078 0075 0073
0102 .0099 .0096
0132 0129
0170 0166
0071
.0094
0125 0122
0162
0158
.07
08
.09
.0003
.0003 0002
0003
.0004 .0004 .0004 .0003
0006 .0005 .0005
0008 0008 0007
0011 0011 0010
0015
0021
.0029
0039
.0005
.0007
0010
0014
0015 0014
0021 0020
0019
0028 0027
0026
0037
0036
0038
0051
.0049
0048
0066
0064
.0084
.0069 .0068
0091
0119
0154
0089 .0087
.0116
0150
0110
0113
0146
0143
I
Transcribed Image Text:normal table (Page 2) N 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 08 09 1.0 1.1 1.2 Cumulative probability .02 .03 Cumulative probability for z is the area under the standard normal curve to the left of z .05 .08 .09 .06 52.39 .07 5279 $199 5319 5359 5636 .5675 S714 5753 .6103 .6141 .6480 .6517 5596 5987 .6026 .6064 .6368 .6406 6443 .6736 .6772 .6808 .7123 .7157 .7454 .7486 .7517 .6879 .6844 .7190 .7224 .7549 .7764 .7794 7823 .7852 .8051 .8078 .8106 8133 .8315 .8340 .8365 .8389 8554 .8577 .8599 8621 8770 .8790 .8810 .8830 8962 8980 .8997 .9015 .00 .01 .04 5000 5040 5080 $120 $160 5398 5438 5478 5517 5557 5793 5832 5871 5910 5948 .6179 6217 6255 6293 .6331 .6554 6591 6628 .6664 .6700 .6915 .6950 6985 .7019 .7054 7088 7324 7357 .7389 .7422 7673 7704 7734 .7257 .7291 .7642 .7611 .7580 7881 .7910 .7939 .7967 7995 .8023 8159 .8186 .8212 .8238 8264 8289 8413 .8438 .8461 .8485 .8508 8531 .8643 .8665 .8686 .8708 .8729 .8749 8849 .8869 8888 .8907 .8925 .8944 X Standard normal table (Page 1) 2 -5.0 -4.5 -4.0 -3.5 .00 .000000287 .00000340 .0000317 .000233 Cumulative probability Z -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -28 -2.7 -26 -2.5 -24 -2.3 -22 -2.1 Z .00 .01 .0003 .0003 .0005 0005 .0007 .0007 0010 .0009 .0013 .0013 0019 0018 .0026 .0025 0035 .0047 0034 0045 .0062 .0060 0082 .0080 0104 0107 .0139 0136 0179 0174 02 Cumulative probability for z is the area under the standard normal curve to the left of z .04 .05 06 .03 .0003 0005 0003 0003 0003 0004 0004 0004 .0006 .0006 .0006 0006 .0009 0009 .0008 0008 0013 .0012 0012 .0011 0018 0017 0016 0016 .0024 0023 0023 .0022 0033 0032 .0031 0030 0044 0043 0041 0040 0059 0057 .0055 .0054 .0052 .0078 0075 0073 0102 .0099 .0096 0132 0129 0170 0166 0071 .0094 0125 0122 0162 0158 .07 08 .09 .0003 .0003 0002 0003 .0004 .0004 .0004 .0003 0006 .0005 .0005 0008 0008 0007 0011 0011 0010 0015 0021 .0029 0039 .0005 .0007 0010 0014 0015 0014 0021 0020 0019 0028 0027 0026 0037 0036 0038 0051 .0049 0048 0066 0064 .0084 .0069 .0068 0091 0119 0154 0089 .0087 .0116 0150 0110 0113 0146 0143 I
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