Arandom variable follows the normal probability distribution with a mean of 118 and a ständard Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the star Cumulative Probabilities for the Standard Normal Distribution (page 2) a) What is the probability that a randomly selected value from this population is between 95 and 130? (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution b) What is the probability that a randomly selected value from this population is between 121 and 156 (Round to four decimal places as needed.) Cumulative probability c) What is the probability that a randomly selected value from this population is between 58 and 887 Table entries represent the shaded wea in the figure (Round to four decimal places as needed.) d) What is the probability that a randomly selected value from this population is between 109 and 178 (Round to four decimal places as needed.) FIRST DIGIT OF SECOND DIGIT OF z FIRST DIGIT OFz Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 05000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 05359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 05753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.691S 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 06 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7612 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.0 9 0.8159 0.8186 0.8212 0.8238 0.8 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 10 0.8413 0.8438 0.8461 0.8485 0.9 0.8508 0.8531 0.8554 0.8577 0.8599 1.1 0 8643 O.8665 0.8686 0.8708 0.8729 0.8621 1.0 1.2 0.8749 0.8770 0.8790 0.8810 0.8849 0.8869 0.8888 0.8907 0.8925 0.8830 1.1 13 0.8944 0.8962 0.8980 0.8997 0.9015 0.0032 0.0049 0.9066 0.0082 1.2 0.9099 0.9115 0.9131 0.9147 14 0.9192 0.9207 0.9222 0.9236 0.9162 0.9177 1.3 0.9251 0.9265 0.9279 1.5 0.9332 0.9345 0.9357 0.9370 0.9202 0.9306 0.9319 1.4 0.9382 09101 00100

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(Included are page 1 and 2 of the standard normal probability table.) *** round to 4 decimal places as needed.***
A random variable follows the normal probability distribution with a mean of 118 and a standard deviation of 26. Complete parts (a) through (d) below.
Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the sta
Cumulative Probabilities for the Standard Normal Distribution (page 2)
a) What is the probability that a randomly selected value from this population is between 95 and 130?
(Round to four decimal places as needed.)
Cumulative Probabilities for the Standard Normal Distribution
b) What is the probability that a randomly selected value from this population is between 121 and 156
(Round to four decimal places as needed.)
Cumulative
probability
Table entries
represent the shaded
rea in the figure
c) What is the probability that a randomly selected value from this population is between 58 and 887?
(Round to four decimal places as needed.)
d) What is the probability that a randomly selected value from this population is between 109 and 178
(Round to four decimal places as needed.)
FIRST DIGIT OF Z
SECOND DIGIT OF z
FIRST DIGIT OF z
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.03
a5230
0.5636
0.6026
0.5040
0.5080
05120
0.5160
0.5199
0.5279
0.5319
05359
0.0
0.0
05000
0.1
0.398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5675
0.5714
0.5753
0.1
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6064
0.6103
0.6141
0.2
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.3
0.4
06554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.4
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.5
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7517
0.7549
0.6
0.7
0.7580
0.7611
0.7642
0.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.7
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.8
0.9
0,9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8365
0.8389
0.9
10
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
1.0
1.1
08643
0.8665
0.8686
0.8708
0.8720
0.8749
0.8770
0.8790
0.8810
0.8830
1.1
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.8997
0.8980
0.9015
1.2
1.3
0.9032
0.0049
0.9066
0.9082
0.9000
0.9115
0.9131
0.9147
0.9162
0.9177
1.3
14
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
1.4
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.944
1
1.5
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.95 15
0.9525
0.9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
1.6
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
0.9641
0.0649
0.9656
1.7
0.9664
0.9671
0.9678
0.9686
0.9603
1.9
0.9713
0.9719
0.9699
0.9706
1.8
0.9726
0.9732
0.9738
0.9744
0.9750
2.0
0.9772
0.9778
0.9783
0.9756
0.9761
0.9767
1.9
0.9788
0.9793
0.9798
0.9803
2.1
0.9821
0.9826
0.9808
0.9812
0.9817
2.0
0.9830
0.9834
0.9838
0.9842
0.9846
2.2
0.9861
0.9864
0.9850
0.9854
0.9857
2.1
0.9868
0.9871
0.9875
0.9878
0.9881
23
0.9893
0.9896
0.9898
0.9884
0.9887
0.9890
2.2
0.9901
0.9904
0.9006
0.9909
2.4
0.9918
0.9920
0 9022
0.9911
0.9913
0.9916
2.3
0.9925
0.9927
0.9929
0.9931
0.90 38
0.9940
0.9932
0.9934
0.9936
0.9941
0.9043
0.9945
0.9046
2.4
2.6
0.9053
0.9948
0.9949
0.9951
0.9952
0.9956
0.9057
0.9950
0.9960
2.5
2.7
0.0065
0.9966
0.9961
0.9962
0.9963
0.9964
0.0067
0.9968
0.9969
0.9970
2.6
0.9074
0.9975
0.9971
0.9972
0.9973
0.9974
0.0076
0.9077
0.9977
0.9978
2.7
2.9
0.9081
0.0082
0.0970
0.9979
0.9980
0.9981
0.0982
0.9083
0.9984
2.8
3.0
0.9987
0.9984
0.9985
0.9985
0.9987
0.9987
0.9088
0.9988
0.9986
0.9986
0,00
0.9089
0.9989
0.9989
2.9
0.01
0.02
0.03
0.9990
0.9990
FIRST DIGIT OF z
0.04
3.0
0,05
0.06
0.07
0.08
0.09
SECOND DIGIT OF Z
FIRST DIGIT OF z
View an Example
Textbook
Print
Transcribed Image Text:A random variable follows the normal probability distribution with a mean of 118 and a standard deviation of 26. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the sta Cumulative Probabilities for the Standard Normal Distribution (page 2) a) What is the probability that a randomly selected value from this population is between 95 and 130? (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution b) What is the probability that a randomly selected value from this population is between 121 and 156 (Round to four decimal places as needed.) Cumulative probability Table entries represent the shaded rea in the figure c) What is the probability that a randomly selected value from this population is between 58 and 887? (Round to four decimal places as needed.) d) What is the probability that a randomly selected value from this population is between 109 and 178 (Round to four decimal places as needed.) FIRST DIGIT OF Z SECOND DIGIT OF z FIRST DIGIT OF z 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 a5230 0.5636 0.6026 0.5040 0.5080 05120 0.5160 0.5199 0.5279 0.5319 05359 0.0 0.0 05000 0.1 0.398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 06554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0,9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 10 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 08643 0.8665 0.8686 0.8708 0.8720 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8997 0.8980 0.9015 1.2 1.3 0.9032 0.0049 0.9066 0.9082 0.9000 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 14 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.944 1 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.95 15 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 1.6 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.0649 0.9656 1.7 0.9664 0.9671 0.9678 0.9686 0.9603 1.9 0.9713 0.9719 0.9699 0.9706 1.8 0.9726 0.9732 0.9738 0.9744 0.9750 2.0 0.9772 0.9778 0.9783 0.9756 0.9761 0.9767 1.9 0.9788 0.9793 0.9798 0.9803 2.1 0.9821 0.9826 0.9808 0.9812 0.9817 2.0 0.9830 0.9834 0.9838 0.9842 0.9846 2.2 0.9861 0.9864 0.9850 0.9854 0.9857 2.1 0.9868 0.9871 0.9875 0.9878 0.9881 23 0.9893 0.9896 0.9898 0.9884 0.9887 0.9890 2.2 0.9901 0.9904 0.9006 0.9909 2.4 0.9918 0.9920 0 9022 0.9911 0.9913 0.9916 2.3 0.9925 0.9927 0.9929 0.9931 0.90 38 0.9940 0.9932 0.9934 0.9936 0.9941 0.9043 0.9945 0.9046 2.4 2.6 0.9053 0.9948 0.9949 0.9951 0.9952 0.9956 0.9057 0.9950 0.9960 2.5 2.7 0.0065 0.9966 0.9961 0.9962 0.9963 0.9964 0.0067 0.9968 0.9969 0.9970 2.6 0.9074 0.9975 0.9971 0.9972 0.9973 0.9974 0.0076 0.9077 0.9977 0.9978 2.7 2.9 0.9081 0.0082 0.0970 0.9979 0.9980 0.9981 0.0982 0.9083 0.9984 2.8 3.0 0.9987 0.9984 0.9985 0.9985 0.9987 0.9987 0.9088 0.9988 0.9986 0.9986 0,00 0.9089 0.9989 0.9989 2.9 0.01 0.02 0.03 0.9990 0.9990 FIRST DIGIT OF z 0.04 3.0 0,05 0.06 0.07 0.08 0.09 SECOND DIGIT OF Z FIRST DIGIT OF z View an Example Textbook Print
Cumulative Probabilities for the Standard Normal Distribution
Table entries
represent the shaded
area in the figure
Cumulative
probability
0.
FIRST DIGIT OFz
SECOND DIGIT OF z
FIRST DIGIT OFz
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
2.
-3.0
0,0013
0.0013
0.0013
0.0012
0.0012
0.0011
0.0011
0.0011
0.0010
0.0010
-3.0
-2.9
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
-2.9
-2.8
0.0026
0.0025
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.0020
0.0019
-2.8
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027
0.0026
-2.7
-2.6
0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
-2.6
-2.5
0.0062
0.0060
0.0059
0.0057
0.0055
0.0054
0.0052
0.0051
0.0049
0.0048
-2.5
-2.4
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066
0.0064
-2.4
-2.3
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0087
0.0084
-2.3
-2.2
0.0139
0.0136
0.0132
0.0129
0.0125
0.0122
0.0119
0.01 16
0.0113
0.01 10
-2.2
-2.1
0.0179
0.0174
0.0170
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146
0.0143
-2.1
-2.0
0.0228
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
-2.0
0.0183
-1.9
0.0287
0.0281
0.0274
0.0268
0.0262
0.0256
0.0250
0.0244
0.0239
0.0233
-1.9
-1.8
0.0359
0.0351
0.0344
0.0336
0.0329
0.0322
0.0314
0.0307
0.0301
0.0294
-1.8
-1.7
0.0446
0.0436
0.0427
0.0418
0.0409
0.0401
0.0392
0.0384
0.0375
0.0367
-1.7
-1.6
0.0548
0.0537
0.0526
0.0516
0.0505
0.0495
0.0485
0.0475
0.0465
0.0455
-1.6
-1.5
0.0668
0.0655
0.0643
0.0630
0.0618
0,0606
0.0594
0.0582
0.0571
0.0559
-1.5
-1.4
0.0808
0.0793
0.0778
0.0764
0.0749
0.0735
0.0721
0.0708
0.0694
0.0681
-1.4
-1.3
0.0968
0.0951
0.0934
0.0918
0.0901
0.0885
0.0869
0.0853
0.0823
0.0838
-1.3
-1.2
0.1151
0.1131
0.1112
0.1093
0.1075
0.1056
0.1038
0.1020
0.1003
0.0985
-1.2
-1.1
0.1357
0.1335
0.1314
0.1292
0.1271
0.1251
0.1230
0.1210
0.1190
0.1170
-1.1
-1.0
0.1587
0.1562
0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.1401
0.1379
-1.0
-0.9
0.1841
0.1814
0.1788
0.1762
0.1736
0.1711
0.1685
0.1660
0.1635
0.1611
-0.9
-0.8
0.2119
0.2090
0.2061
0.2033
0.2005
0.1977
0.1949
0.1922
0.1894
0.1867
-0.8
-0,7
0.2420
0.2389
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
0.2148
-0.7
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.25 14
0.2483
0.2451
-0.6
-0.5
0.3085
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
0.2810
0.2776
-0.5
-0.4
0.3446
0.3409
0.3372
0.3336
0.3300
0.3264
0.3228
0.3192
0.3156
0.3121
-0.4
-0.3
0.3821
0.3783
0.3745
0.3707
0.3669
0.3632
0.3594
0.3557
0.3520
0,3483
-0.2
0.4207
0.4168
-0.3
0,4129
0.4090
0.4052
0.4013
0.3974
0,3936
-0.1
0.4602
0.3897
0.3859
-0.2
0.4562
0.4522
0.4483
0.4443
0.4404
0.4364
0.4325
0.4286
0.4247
-0.1
-0.0
0.5000
0.4960
0.4920
0.4880
0.4840
0.4801
0.4761
0.4721
0.4681
0.4641
-0.0
0,00
0.01
0.02
0.03
0.04
0.05
0.06
0,07
0.08
0.09
FIRST DIGIT OF Z
SECOND DIGIT OF z
FIRST DIGIT OF z
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Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution Table entries represent the shaded area in the figure Cumulative probability 0. FIRST DIGIT OFz SECOND DIGIT OF z FIRST DIGIT OFz 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 2. -3.0 0,0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.01 16 0.0113 0.01 10 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 -2.0 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0,0606 0.0594 0.0582 0.0571 0.0559 -1.5 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0823 0.0838 -1.3 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 -0,7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.25 14 0.2483 0.2451 -0.6 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0,3483 -0.2 0.4207 0.4168 -0.3 0,4129 0.4090 0.4052 0.4013 0.3974 0,3936 -0.1 0.4602 0.3897 0.3859 -0.2 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0 0,00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.08 0.09 FIRST DIGIT OF Z SECOND DIGIT OF z FIRST DIGIT OF z Print Done
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