An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pillots has normally distributed weights with a mean of 128 lb and a standard deviation of 32.1 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 It The probability is approximately (Round to four decimal places as needed.) Standard normal distribution table (page 2) Standard Normal (2) Distribution: Cumulative Area from the LEFT 2 00 .00 cm 01 02 5040 5080 03 5120 .04 5160 .05 5199 06 5239 07 5279 08 09 5319 5359

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
100%
x
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights
with a mean of 128 lb and a standard deviation of 32.1 lb.
Click here to view page 1 of the standard normal distribution.
Click here to view page 2 of the standard normal distribution.
a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb
The probability is approximately. (Round to four decimal places as needed.)
View an example
2
3
W
S
X
H
ommand
#
3
Get more help.
80
F3
E
D
C
$
4
F4
R
F
%
5
V
I
F5
T
G
6
B
MacBook Air
Y
H
&
7
44
N
U
*
8
Standard normal distribution table (page 2)
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.01
.05
z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
DII
F8
1
M
.00
5000
5398
5793
6179
6554
6915
7257
.7580
.7881
8159
8413
8643
8849
9032
9192
9332
9452
K
(
9
.03
.04
5120
5080
5160
5040
5438 5478 5517 5557
5832 5871 .5910 5948
.6255 6293
6217
.6331
6700
.6591 6628
6950 .6985
.7054
7291
7389
7704
7995
8264
8485 8508
6664
7019
7357
7324
7611
7673
7910
.7967
8238
8708
8907
9082
9236
9357 9370
9484
9582
9664
9732 9738
8186
8438
8665
8869
9049
9207
9345
9463 9474
9554
9564
9649
.9641
9713 9719
9778
9772
nase
DD
F9
O
I
.02
дв
.7642
.7939
8212
8461
8686
8888
9066
9222
9573
9656
9726
9783
)
O
L
Print
9788 9793
MARE
nara
command
F10
P
.
8729 8749
8925
8944
9099
9115
9265
:
;
5239
5199
5636
5596
5987 6026
6406
6368
6772
6736
7123
.7088
.7157
7486
7422 7454
7764
7734
7794
8023 8051 8078
8340
8289 8315
8531 8554 8577
8770
Done
F11
I
option
{
[
06
8962
9131
9251
9279
9418
9429
9441
9535
9525
9545
9625
9633
9382 9394 9406
9505 9615
9496
9608
9599
9591
9678 9686
9699
9744 9750 9756 9761 9767
9608
9817
9803
9798
9616
9693
9671
9706
9812
NOEL
nowe
AACA
+
?
.07
5279
5675
6064
.6443
6808
1
8790
8960
9147
9292
11
T
I
.08
.09
5359
5319
5714 .5753
6103
6141
6517
6480
6844
.7190
7517
7823
8106
8366
8599
8810
8997
9162
9306
F12
Show All
]
6879
7224
7549
7852
8133
8389
8621
8830
9015
9177
9319
X
delete
0
retu
Transcribed Image Text:x An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 128 lb and a standard deviation of 32.1 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb The probability is approximately. (Round to four decimal places as needed.) View an example 2 3 W S X H ommand # 3 Get more help. 80 F3 E D C $ 4 F4 R F % 5 V I F5 T G 6 B MacBook Air Y H & 7 44 N U * 8 Standard normal distribution table (page 2) Standard Normal (z) Distribution: Cumulative Area from the LEFT .01 .05 z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 DII F8 1 M .00 5000 5398 5793 6179 6554 6915 7257 .7580 .7881 8159 8413 8643 8849 9032 9192 9332 9452 K ( 9 .03 .04 5120 5080 5160 5040 5438 5478 5517 5557 5832 5871 .5910 5948 .6255 6293 6217 .6331 6700 .6591 6628 6950 .6985 .7054 7291 7389 7704 7995 8264 8485 8508 6664 7019 7357 7324 7611 7673 7910 .7967 8238 8708 8907 9082 9236 9357 9370 9484 9582 9664 9732 9738 8186 8438 8665 8869 9049 9207 9345 9463 9474 9554 9564 9649 .9641 9713 9719 9778 9772 nase DD F9 O I .02 дв .7642 .7939 8212 8461 8686 8888 9066 9222 9573 9656 9726 9783 ) O L Print 9788 9793 MARE nara command F10 P . 8729 8749 8925 8944 9099 9115 9265 : ; 5239 5199 5636 5596 5987 6026 6406 6368 6772 6736 7123 .7088 .7157 7486 7422 7454 7764 7734 7794 8023 8051 8078 8340 8289 8315 8531 8554 8577 8770 Done F11 I option { [ 06 8962 9131 9251 9279 9418 9429 9441 9535 9525 9545 9625 9633 9382 9394 9406 9505 9615 9496 9608 9599 9591 9678 9686 9699 9744 9750 9756 9761 9767 9608 9817 9803 9798 9616 9693 9671 9706 9812 NOEL nowe AACA + ? .07 5279 5675 6064 .6443 6808 1 8790 8960 9147 9292 11 T I .08 .09 5359 5319 5714 .5753 6103 6141 6517 6480 6844 .7190 7517 7823 8106 8366 8599 8810 8997 9162 9306 F12 Show All ] 6879 7224 7549 7852 8133 8389 8621 8830 9015 9177 9319 X delete 0 retu
←
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights
with a mean of 128 lb and a standard deviation of 32.1 lb.
Click here to view page 1 of the standard normal distribution.
Click here to view page 2 of the standard normal distribution.
Xx
a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161
The probability is approximately. (Round to four decimal places as needed.)
View an example
2
F2
W
S
X
H
ommand
3
Get more help.
80
F3
E
D
C
$
4
Q
FA
R
F
%
5
V
FS
T
G
6
B
MacBook Air
Y
H
&
7
N
F7
U
*
8
Standard normal distribution table (page 1)
D
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.01
.06
Z
-3.50
and
lower 0001
-3.4
<-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
-1.8
Dil
1
,00
M
0287
0359
9
K
DD
O
<
0004
.0003 .0003 0003 0003 .0003 0003
.0005 .0005 0006 0004 0004
0007 .0007 0006 0006 0006 0006
.0010
.0009 .0009 0009 0008 0008
,0013 0013 0012 0012 0011
.0018 0018 0017 0016 0016
0023 0022
0031 0030 .0029
0040
.0003 0003 .0003 .0002
.0004 0004 0004 .0003
.0006 0005 0005 0005
.0008 .0008 0007 0007
0010
.0011 0011
0010
0015
0015
0021
0013
0019
.0014
0014
.0026 .0025
0024
0023
0021
0020
0019
0035 .0034
0033
0032
0028
0027
0026
0044
0043
0041
0037
0036
0047 .0045
0062 .0060
0038
0051 0049
0067
0054
.0039
.0052
.0069
0048
0059
0080 0078
0082
0107 0104 0102
0075
.0071
0068 .0066 .0064
0094
.0091
0087
0084
0089
0116
0132
0122
0113
0110
.0136
0139
0179 .0174
0119
0158 0154 0150 0146
0143
0228
0170
0217
0274
.0281
0222
0197 0192
0183
0188
02:39
0233
0256 .0250 0244
0307
0314
0344
0351
0322
0294
0301
I
.02
дв
)
O
L
.03
.0099
0129
0166
0212
0268
0336
command
F10
P
.04
V
0055
.0073
0096
0125
.05
0162
0202
0207
0262
0329
-
....
di
F11
{
I
option
[
+
=
?
1
.07
11
Show All
AM
.08
F12
}
09
1
X
delete
P
ret
Transcribed Image Text:← An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 128 lb and a standard deviation of 32.1 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. Xx a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 The probability is approximately. (Round to four decimal places as needed.) View an example 2 F2 W S X H ommand 3 Get more help. 80 F3 E D C $ 4 Q FA R F % 5 V FS T G 6 B MacBook Air Y H & 7 N F7 U * 8 Standard normal distribution table (page 1) D Standard Normal (z) Distribution: Cumulative Area from the LEFT .01 .06 Z -3.50 and lower 0001 -3.4 <-3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 Dil 1 ,00 M 0287 0359 9 K DD O < 0004 .0003 .0003 0003 0003 .0003 0003 .0005 .0005 0006 0004 0004 0007 .0007 0006 0006 0006 0006 .0010 .0009 .0009 0009 0008 0008 ,0013 0013 0012 0012 0011 .0018 0018 0017 0016 0016 0023 0022 0031 0030 .0029 0040 .0003 0003 .0003 .0002 .0004 0004 0004 .0003 .0006 0005 0005 0005 .0008 .0008 0007 0007 0010 .0011 0011 0010 0015 0015 0021 0013 0019 .0014 0014 .0026 .0025 0024 0023 0021 0020 0019 0035 .0034 0033 0032 0028 0027 0026 0044 0043 0041 0037 0036 0047 .0045 0062 .0060 0038 0051 0049 0067 0054 .0039 .0052 .0069 0048 0059 0080 0078 0082 0107 0104 0102 0075 .0071 0068 .0066 .0064 0094 .0091 0087 0084 0089 0116 0132 0122 0113 0110 .0136 0139 0179 .0174 0119 0158 0154 0150 0146 0143 0228 0170 0217 0274 .0281 0222 0197 0192 0183 0188 02:39 0233 0256 .0250 0244 0307 0314 0344 0351 0322 0294 0301 I .02 дв ) O L .03 .0099 0129 0166 0212 0268 0336 command F10 P .04 V 0055 .0073 0096 0125 .05 0162 0202 0207 0262 0329 - .... di F11 { I option [ + = ? 1 .07 11 Show All AM .08 F12 } 09 1 X delete P ret
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill