Women's heights are normally distributed with mean 63.7 in and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 69 in tall. What percentage of women meet that requirement? The percentage of women that are taller than 69 in is ?
Women's heights are normally distributed with mean 63.7 in and standard deviation of 2.5 in. A social organization for tall people has a requirement that women must be at least 69 in tall. What percentage of women meet that requirement? The percentage of women that are taller than 69 in is ?
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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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Women's heights are
The percentage of women that are taller than 69 in is ?
Transcribed Image Text:-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
.0113
.010
-2.1
.0179
0174
.0170
.0166
0162
.0158
.0154
.0150
0146
.0143
-2.0
.0228
.0222
.0217
.0212
0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.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
NOTE: For values of z below -3.49, use 0.0001 for the area.
"Use these common values that result from internolation:
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
.0013
.0018
-3.0
.0013
.0013
.o012
.0012
.0011
.001
.001
.0010
.0010
-2.9
.0019
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.O019
-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
.0113
.0110
-2.1
.0179
0174
.0170
.0166
0162
.0158
.0154
.0150
.0146
.0143
-2.0
.0228
.0222
.0217
.0212
0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
0505
* .0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
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