Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P20
Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. P20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
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
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Use the standard normal table to find the z-score that corresponds to the given percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.
P20
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z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
|---|---|---|---|---|---|---|---|---|---|---|
|
−3.4
|
0.0002
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
0.0003
|
|
−3.3
|
0.0003
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0004
|
0.0005
|
0.0005
|
0.0005
|
|
−3.2
|
0.0005
|
0.0005
|
0.0005
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0006
|
0.0007
|
0.0007
|
|
−3.1
|
0.0007
|
0.0007
|
0.0008
|
0.0008
|
0.0008
|
0.0008
|
0.0009
|
0.0009
|
0.0009
|
0.0010
|
|
−3.0
|
0.0010
|
0.0010
|
0.0011
|
0.0011
|
0.0011
|
0.0012
|
0.0012
|
0.0013
|
0.0013
|
0.0013
|
|
−2.9
|
0.0014
|
0.0014
|
0.0015
|
0.0015
|
0.0016
|
0.0016
|
0.0017
|
0.0018
|
0.0018
|
0.0019
|
|
−2.8
|
0.0019
|
0.0020
|
0.0021
|
0.0021
|
0.0022
|
0.0023
|
0.0023
|
0.0024
|
0.0025
|
0.0026
|
|
−2.7
|
0.0026
|
0.0027
|
0.0028
|
0.0029
|
0.0030
|
0.0031
|
0.0032
|
0.0033
|
0.0034
|
0.0035
|
|
−2.6
|
0.0036
|
0.0037
|
0.0038
|
0.0039
|
0.0040
|
0.0041
|
0.0043
|
0.0044
|
0.0045
|
0.0047
|
|
−2.5
|
0.0048
|
0.0049
|
0.0051
|
0.0052
|
0.0054
|
0.0055
|
0.0057
|
0.0059
|
0.0060
|
0.0062
|
|
−2.4
|
0.0064
|
0.0066
|
0.0068
|
0.0069
|
0.0071
|
0.0073
|
0.0075
|
0.0078
|
0.0080
|
0.0082
|
|
−2.3
|
0.0084
|
0.0087
|
0.0089
|
0.0091
|
0.0094
|
0.0096
|
0.0099
|
0.0102
|
0.0104
|
0.0107
|
|
−2.2
|
0.0110
|
0.0113
|
0.0116
|
0.0119
|
0.0122
|
0.0125
|
0.0129
|
0.0132
|
0.0136
|
0.0139
|
|
−2.1
|
0.0143
|
0.0146
|
0.0150
|
0.0154
|
0.0158
|
0.0162
|
0.0166
|
0.0170
|
0.0174
|
0.0179
|
|
−2.0
|
0.0183
|
0.0188
|
0.0192
|
0.0197
|
0.0202
|
0.0207
|
0.0212
|
0.0217
|
0.0222
|
0.0228
|
|
−1.9
|
0.0233
|
0.0239
|
0.0244
|
0.0250
|
0.0256
|
0.0262
|
0.0268
|
0.0274
|
0.0281
|
0.0287
|
|
−1.8
|
0.0294
|
0.0301
|
0.0307
|
0.0314
|
0.0322
|
0.0329
|
0.0336
|
0.0344
|
0.0351
|
0.0359
|
|
−1.7
|
0.0367
|
0.0375
|
0.0384
|
0.0392
|
0.0401
|
0.0409
|
0.0418
|
0.0427
|
0.0436
|
0.0446
|
|
−1.6
|
0.0455
|
0.0465
|
0.0475
|
0.0485
|
0.0495
|
0.0505
|
0.0516
|
0.0526
|
0.0537
|
0.0548
|
|
−1.5
|
0.0559
|
0.0571
|
0.0582
|
0.0594
|
0.0606
|
0.0618
|
0.0630
|
0.0643
|
0.0655
|
0.0668
|
|
−1.4
|
0.0681
|
0.0694
|
0.0708
|
0.0721
|
0.0735
|
0.0749
|
0.0764
|
0.0778
|
0.0793
|
0.0808
|
|
−1.3
|
0.0823
|
0.0838
|
0.0853
|
0.0869
|
0.0885
|
0.0901
|
0.0918
|
0.0934
|
0.0951
|
0.0968
|
|
−1.2
|
0.0985
|
0.1003
|
0.1020
|
0.1038
|
0.1056
|
0.1075
|
0.1093
|
0.1112
|
0.1131
|
0.1151
|
|
−1.1
|
0.1170
|
0.1190
|
0.1210
|
0.1230
|
0.1251
|
0.1271
|
0.1292
|
0.1314
|
0.1335
|
0.1357
|
|
−1.0
|
0.1379
|
0.1401
|
0.1423
|
0.1446
|
0.1469
|
0.1492
|
0.1515
|
0.1539
|
0.1562
|
0.1587
|
|
−0.9
|
0.1611
|
0.1635
|
0.1660
|
0.1685
|
0.1711
|
0.1736
|
0.1762
|
0.1788
|
0.1814
|
0.1841
|
|
−0.8
|
0.1867
|
0.1894
|
0.1922
|
0.1949
|
0.1977
|
0.2005
|
0.2033
|
0.2061
|
0.2090
|
0.2119
|
|
−0.7
|
0.2148
|
0.2177
|
0.2206
|
0.2236
|
0.2266
|
0.2296
|
0.2327
|
0.2358
|
0.2389
|
0.2420
|
|
−0.6
|
0.2451
|
0.2483
|
0.2514
|
0.2546
|
0.2578
|
0.2611
|
0.2643
|
0.2676
|
0.2709
|
0.2743
|
|
−0.5
|
0.2776
|
0.2810
|
0.2843
|
0.2877
|
0.2912
|
0.2946
|
0.2981
|
0.3015
|
0.3050
|
0.3085
|
|
−0.4
|
0.3121
|
0.3156
|
0.3192
|
0.3228
|
0.3264
|
0.3300
|
0.3336
|
0.3372
|
0.3409
|
0.3446
|
|
−0.3
|
0.3483
|
0.3520
|
0.3557
|
0.3594
|
0.3632
|
0.3669
|
0.3707
|
0.3745
|
0.3783
|
0.3821
|
|
−0.2
|
0.3859
|
0.3897
|
0.3936
|
0.3974
|
0.4013
|
0.4052
|
0.4090
|
0.4129
|
0.4168
|
0.4207
|
|
−0.1
|
0.4247
|
0.4286
|
0.4325
|
0.4364
|
0.4404
|
0.4443
|
0.4483
|
0.4522
|
0.4562
|
0.4602
|
|
−0.0
|
0.4641
|
0.4681
|
0.4721
|
0.4761
|
0.4801
|
0.4840
|
0.4880
|
0.4920
|
0.4960
|
0.5000
|
|
z
|
0.09
|
0.08
|
0.07
|
0.06
|
0.05
|
0.04
|
0.03
|
0.02
|
0.01
|
0.00
|
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