Assume the random variable X is normally distributed with mean u = 50 and standard deviation o= 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X> 36) Click the icon to view table of areas under the normal curve. Which of the following normal curves corresponds to P(X> 36)? OA. OB. Oc. 36 50 36 50 36 50 P(X>36) =O (Round to four decimal places as needed.)

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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Question #11

TABLE V
Standard Normal Distribution
00
.01
.02
.03
.04
.05
.06
.07
.08
„09
Area
-3.4
-33
-3.2
0.0003
0.0004
0.0005
0.0007
0.0010 0.0010
0.0003 0.0003 0.0003
0.0005
0.0003 0.0003
0.0004
0.0003
0.0004 0.0004
0.0006
0.0003
0.0003
0.0002
0.0005
0.0007 0.0006 0.0006
0.0004
0.0006
0.0005
0.0004
0.0003
0.0007
0.0006 0.0005
0.0005
-3.1
-3.0
0.0010
0.0013
0.0009
0.0013
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0011
0.0008
0.0011
0.0008
0.0011
0.0007
0.0016
0.0023 0.0023
0.0032
-2.9
0.0017
0.0016
0.0014
0.0019
0.0026
0.0035
0.0018
0.0018
0.0024
0.0033
0.0015
0.0015
0.0021
0.0028
0.0014
0.0025
0.0022
0.0030
-2.8
0.0021
0.0029
0.0020 0.0019
0.0027
0.0026
-2.7
0.0034
0.0031
-2.6
-2.5
0.0047
0.0044
0.0038
0.0051
0.0036
0.0048
0.0045
0.0043
0.0041
0.0055
0.0040
0.0039
0.0037
0.0062
0.0060
0.0059
0.0057
0.0054
0.0052
0.0049
0.0080
0.0104
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0069
0.0091
0.0119
0.0154
0.0078 0.0075
0.0073
0.0071
0.0068
0.0089
0.0116
0.0066
0.0064
0.0084
0.0110
0.0102
0.0099
0.0096
0.0094
0.0087
0.0136 0.0132 0.0129
0.0125
0.0122
0.0113
-2.1
0.0179
0.0174
0.0170
0.0166
0.0162
0.0158
0.0150
0.0146
0.0143
0.0183
-2.0
0.0228
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
-19
-1.8
-1.7
-1.6
0.0287
0.0359
0.0446
0.0548
0.0281
0.0351
0.0436
0.0274 0.0268
0.0344 0.0336 0.0329
0.0427
0.0256
0.0322
0.0401
0.0495
0.0233
0.0294
0.0367
0.0455
0.0262
0.0250
0.0314
0.0392
0.0485
0.0244
0.0307
0.0384
0.0475
0.0239
0.0301
0.0375
0.0465
0.0418
0.0537 0.0526 0.0516 0.0505
0.0409
-1.5
0.0668
0.0655
0.0643
0.0630 0.0618 0.0606
0.0594
0.0582
0.0571 0.0559
0.0808
0.0968
0.1151
0.1357
0.0793
0.0951
0.1131
0.1335
0.0694
0.0838
0.1003
0.1190
-1.4
0.0778
0.0735
0.0885
0.1056
0.0764 0.0749
0.0721
0.0708
0.0681
0.0823
0.0985
0.1170
0.0934
-1.3
-1.2
-11
0.0901
0.1075
0.1271
0.0869
0.0853
0.1038
0.1020
0.1230 0.1210
0.0918
0.1112
0.1093
0.1314 0.1292
0.1251
0.1469
-1.0
0.1587
0.1562
0.1539
0.1515
0.1492
0.1446
0.1423
0.1401
0.1379
-0.9
-08
0.1841
0.2119
0.1814
0.2090
0.1788 0.1762
0.2061
0.2033
0.1736
0.2005
0.1711
0.1977
0.1685 0.1660 0.1635
0.1922
0.1611
0.1867
0.1949
0.1894
-0.7
0.2420 0.2389 0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2546 0.2514
0.2177
0.2148
0.2743
0.2709 0.2676 0.2643
0.2611
0.2578
02483
0.2810 0.2776
-0.6
0.2451
-05
0.3085
0.3050 0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
-04
-0.3
-0.2
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.4562
0.3372
03745
0.4129
0.4522
0.3336
0.3707
0.4090
0.4483
0.3300
0.3669
0.4052
0.3264
0.3632
0.4013
0.3228 0.3192
0.3594
0.3557
0.3974
0.3936
0.3156 0.3121
0.3483
0.3859
0.4247
0.3520
0.3897
-0.1
0.4443
0.4404
0.4364 0.4325
0.4286
-0.0
0.4960
0.4920
0.4880
0.4840 0.4801
0.476l
0.4721
0.4681
0.5319
05714
0.4641
0.5359
0.5753
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5675
0.2
0.3
0.4
0.5832
0.6217
0.6591
0.5871
0.6255
0.6628
0.5910
0.6293
0.6664
0.5948
0.6331
0.6700
0.6026
0.6406
0.6772
0,6064
0.6443
0.6103
0.793
0.6179
0.6554
0.5987
0.6368
0.6736
0.6141
0.6517
0.6879
0.6480
0.6808
0.6844
0.5
0.6915
0.7257
0.6950
0.7291
0.6985
0.7324
0.7019 0.7054
0.7088 0.7123
0.7422
0.7454
0.7157
0.7486
0.7190
0.7224
0.7549
0.6
0.7357 0.7389
0.7517
0.7
0.7580
0.7881
0.7611
0.7642 0.7673 0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7910 0.7939 0.7967 0.7995
0.8023 0.8051
0.8078 0.8106
0.8133
0.9
08159
0.8186 0.8212
0.8238 0.8264
0.8289
0.8315 0.8340
0.8365
0.8389
1.0
0.8413
1.1
0.8643
1.2
0.8849
0.8438
0.8665
0.8869
0.8461
0.8686
0.8888
0.9066
0.8485
0.8508
0.8708 0.8729
0.8907
0.8531
0.8554
0.8749 0.8770
0.8944
0.8577 0.8599
0.8790
0.8810
0.8980
0.8997
0.8621
0.8830
0.9015
0.8925
0.8962
13
0.9032
0.9192
0.9049
0.9207
0.9082 0.9099
0.9236
0.9251
0.9115
0.9265
0.9131
0.9279
0.9147
0.9292
0.9162
0.9306
0.9177
0.9319
1.4
0.9222
1.5
1.6
1.7
1.8
0.9332 0.9345 0.9357
0.9452
0.9554
0.9641
0.9370
0.9484
0.9382
0.9394 0.9406
0.9505
0.9515
0.9599
0.9608
0.9678
0.9686
0.9418 0.9429
0.9525 0.9535
0.9616 0.9625
0.9693
0.9441
0.9463
0.9564
0.9649
0.9474
0.9573
0.9656
0.9582
0.9664
0.9495
0.9591
0.9671
0.9545
0.9633
0.9706
0.9699
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
2.0
0.9772
0.9821
0.9861
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9838
0.9875
0.9808
0.9850
0.9884
0.9812 0.9817
0.9854
2.1
0.9826
0.9846
0.9830
0.9868
0.9834
0.9842
0.9878
0.9857
0.9871
0.9901 0.9904
0.9925
2.2
0.9864
0.9881
0.9887
0.9890
2.3
0.9893
0.9896
0.9898
0.9906 0.9909
0.9931
0.9911
0.9913
0.9934 0.9936
0.9916
24
0.9918
0.9920
0.9922
0.9927
0.9929
0.9932
2.5
2.6
0.9938 0.9940 0.9941
0,9953
0.9965
0.9943
0.9945
0.9957
0.9959
0.9968 0.9969
0.9948
0.9960 0.9961
0.9970
0.9946
0.9949 0.9951
0.9962
0.9972
0.9952
0.9955 0.9956
0.9967
0.9963
0.9964
2.7
0.9966
0.9971
0.9973 0.9974
28
0.9978
0.9974
0.9981
0.9975
0.9982
0.9976
0.9982
0.9977
0.9977
0.9979
0.9979
0.9985 0.9985
0.9980
0.9981
2.9
0.9983 0.9984 0.9984
0.9986
0.9986
3.0
3.1
3.2
0.9987
0.9987 0.9987
0.9991
0.9993
0.9995 0.9995 0,9995
0.9997
0.9988
0.9988
0.9991
0.9992
0.9994 0.9994
0.9989
0.9989
0.9992
0.9994
0.9989
0.9990
0.9991
0.9994
0.9992
0.9994
0.9992
0.9995
0.9993
0.9995
0.9990
0.9993
0.9995
0.9990
0.9993
33
3.4
0.9996 0.9996
0.9997
0.9996 0.9996 0.9996 0.9996 0.9997
0.9997 0.9997 0.9997 0.9997 0.9998
0.9997
0.9997 0.9997
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Transcribed Image Text:TABLE V Standard Normal Distribution 00 .01 .02 .03 .04 .05 .06 .07 .08 „09 Area -3.4 -33 -3.2 0.0003 0.0004 0.0005 0.0007 0.0010 0.0010 0.0003 0.0003 0.0003 0.0005 0.0003 0.0003 0.0004 0.0003 0.0004 0.0004 0.0006 0.0003 0.0003 0.0002 0.0005 0.0007 0.0006 0.0006 0.0004 0.0006 0.0005 0.0004 0.0003 0.0007 0.0006 0.0005 0.0005 -3.1 -3.0 0.0010 0.0013 0.0009 0.0013 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0016 0.0023 0.0023 0.0032 -2.9 0.0017 0.0016 0.0014 0.0019 0.0026 0.0035 0.0018 0.0018 0.0024 0.0033 0.0015 0.0015 0.0021 0.0028 0.0014 0.0025 0.0022 0.0030 -2.8 0.0021 0.0029 0.0020 0.0019 0.0027 0.0026 -2.7 0.0034 0.0031 -2.6 -2.5 0.0047 0.0044 0.0038 0.0051 0.0036 0.0048 0.0045 0.0043 0.0041 0.0055 0.0040 0.0039 0.0037 0.0062 0.0060 0.0059 0.0057 0.0054 0.0052 0.0049 0.0080 0.0104 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0069 0.0091 0.0119 0.0154 0.0078 0.0075 0.0073 0.0071 0.0068 0.0089 0.0116 0.0066 0.0064 0.0084 0.0110 0.0102 0.0099 0.0096 0.0094 0.0087 0.0136 0.0132 0.0129 0.0125 0.0122 0.0113 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0150 0.0146 0.0143 0.0183 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 -19 -1.8 -1.7 -1.6 0.0287 0.0359 0.0446 0.0548 0.0281 0.0351 0.0436 0.0274 0.0268 0.0344 0.0336 0.0329 0.0427 0.0256 0.0322 0.0401 0.0495 0.0233 0.0294 0.0367 0.0455 0.0262 0.0250 0.0314 0.0392 0.0485 0.0244 0.0307 0.0384 0.0475 0.0239 0.0301 0.0375 0.0465 0.0418 0.0537 0.0526 0.0516 0.0505 0.0409 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0968 0.1151 0.1357 0.0793 0.0951 0.1131 0.1335 0.0694 0.0838 0.1003 0.1190 -1.4 0.0778 0.0735 0.0885 0.1056 0.0764 0.0749 0.0721 0.0708 0.0681 0.0823 0.0985 0.1170 0.0934 -1.3 -1.2 -11 0.0901 0.1075 0.1271 0.0869 0.0853 0.1038 0.1020 0.1230 0.1210 0.0918 0.1112 0.1093 0.1314 0.1292 0.1251 0.1469 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1446 0.1423 0.1401 0.1379 -0.9 -08 0.1841 0.2119 0.1814 0.2090 0.1788 0.1762 0.2061 0.2033 0.1736 0.2005 0.1711 0.1977 0.1685 0.1660 0.1635 0.1922 0.1611 0.1867 0.1949 0.1894 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2546 0.2514 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 02483 0.2810 0.2776 -0.6 0.2451 -05 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 -04 -0.3 -0.2 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.4562 0.3372 03745 0.4129 0.4522 0.3336 0.3707 0.4090 0.4483 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0.3228 0.3192 0.3594 0.3557 0.3974 0.3936 0.3156 0.3121 0.3483 0.3859 0.4247 0.3520 0.3897 -0.1 0.4443 0.4404 0.4364 0.4325 0.4286 -0.0 0.4960 0.4920 0.4880 0.4840 0.4801 0.476l 0.4721 0.4681 0.5319 05714 0.4641 0.5359 0.5753 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.2 0.3 0.4 0.5832 0.6217 0.6591 0.5871 0.6255 0.6628 0.5910 0.6293 0.6664 0.5948 0.6331 0.6700 0.6026 0.6406 0.6772 0,6064 0.6443 0.6103 0.793 0.6179 0.6554 0.5987 0.6368 0.6736 0.6141 0.6517 0.6879 0.6480 0.6808 0.6844 0.5 0.6915 0.7257 0.6950 0.7291 0.6985 0.7324 0.7019 0.7054 0.7088 0.7123 0.7422 0.7454 0.7157 0.7486 0.7190 0.7224 0.7549 0.6 0.7357 0.7389 0.7517 0.7 0.7580 0.7881 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 08159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 1.1 0.8643 1.2 0.8849 0.8438 0.8665 0.8869 0.8461 0.8686 0.8888 0.9066 0.8485 0.8508 0.8708 0.8729 0.8907 0.8531 0.8554 0.8749 0.8770 0.8944 0.8577 0.8599 0.8790 0.8810 0.8980 0.8997 0.8621 0.8830 0.9015 0.8925 0.8962 13 0.9032 0.9192 0.9049 0.9207 0.9082 0.9099 0.9236 0.9251 0.9115 0.9265 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.9177 0.9319 1.4 0.9222 1.5 1.6 1.7 1.8 0.9332 0.9345 0.9357 0.9452 0.9554 0.9641 0.9370 0.9484 0.9382 0.9394 0.9406 0.9505 0.9515 0.9599 0.9608 0.9678 0.9686 0.9418 0.9429 0.9525 0.9535 0.9616 0.9625 0.9693 0.9441 0.9463 0.9564 0.9649 0.9474 0.9573 0.9656 0.9582 0.9664 0.9495 0.9591 0.9671 0.9545 0.9633 0.9706 0.9699 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9821 0.9861 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9838 0.9875 0.9808 0.9850 0.9884 0.9812 0.9817 0.9854 2.1 0.9826 0.9846 0.9830 0.9868 0.9834 0.9842 0.9878 0.9857 0.9871 0.9901 0.9904 0.9925 2.2 0.9864 0.9881 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9906 0.9909 0.9931 0.9911 0.9913 0.9934 0.9936 0.9916 24 0.9918 0.9920 0.9922 0.9927 0.9929 0.9932 2.5 2.6 0.9938 0.9940 0.9941 0,9953 0.9965 0.9943 0.9945 0.9957 0.9959 0.9968 0.9969 0.9948 0.9960 0.9961 0.9970 0.9946 0.9949 0.9951 0.9962 0.9972 0.9952 0.9955 0.9956 0.9967 0.9963 0.9964 2.7 0.9966 0.9971 0.9973 0.9974 28 0.9978 0.9974 0.9981 0.9975 0.9982 0.9976 0.9982 0.9977 0.9977 0.9979 0.9979 0.9985 0.9985 0.9980 0.9981 2.9 0.9983 0.9984 0.9984 0.9986 0.9986 3.0 3.1 3.2 0.9987 0.9987 0.9987 0.9991 0.9993 0.9995 0.9995 0,9995 0.9997 0.9988 0.9988 0.9991 0.9992 0.9994 0.9994 0.9989 0.9989 0.9992 0.9994 0.9989 0.9990 0.9991 0.9994 0.9992 0.9994 0.9992 0.9995 0.9993 0.9995 0.9990 0.9993 0.9995 0.9990 0.9993 33 3.4 0.9996 0.9996 0.9997 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9997 0.9997 0.9997 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.
Р(X > 36)
Click the icon to view a table of areas under the normal curve.
Which of the following normal curves corresponds to P(X> 36)?
O A.
В.
С.
36
50
36
50
36
50
P(X> 36) =|
(Round to four decimal places as needed.)
Transcribed Image Text:Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. Р(X > 36) Click the icon to view a table of areas under the normal curve. Which of the following normal curves corresponds to P(X> 36)? O A. В. С. 36 50 36 50 36 50 P(X> 36) =| (Round to four decimal places as needed.)
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