Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) P(−2.58 < z < 2.58) =

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100%

Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.)

P(−2.58 < z < 2.58) =

Table 3 (continued)
00
.01
.02
.03
.04
.05
.06
07
08
09
0.0
5000
5040
5080
5120
.5160
5199
5239
.5279
5319
5359
0.1
5398
5438
5478
5517
.5557
5596
5636
క675
5714
5753
0.2
5793
5832
5871
5910
5948
5987
6026
.6064
6103
6480
6141
0.3
6179
6217
6255
6293
.6331
6368
6406
.6443
6517
0.4
6554
6591
6628
6664
.6700
6736
.6772
.6808
6844
6879
0.5
6915
6950
6985
7019
.7054
7088
7123
7157
7190
7224
0.6
7257
7291
7324
7357
7389
7422
7454
.7486
7517
7549
0.7
7580
7611
7642
7673
7704
7734
7764
7794
7823
7852
0.8
7881
7910
7939
7967
.7995
8023
8051
8078
8106
8133
0.9
8159
8186
8212
8238
8264
8289
8315
.8340
8365
8389
1.0
8413
8643
8438
8461
8485
8508
8531
8554
.8577
8599
8621
1.1
8665
8686
8708
8729
8749
8770
.8790
8810
8830
1.2
8849
8869
8888
8907
8925
8944
8962
.8980
8997
9015
1.3
9032
9049
9066
9082
.9099
9115
9131
9147
9162
9177
1.4
9192
9207
9222
9236
.9251
.9265
9279
.9292
9306
9319
9382
.9495
9406
9515
1.5
9332
9452
9345
9357
9370
9394
.9418
9429
9441
1.6
9463
9474
9484
9505
9525
9535
9545
1.7
9554
9564
9573
9582
.9591
9599
9608
9616
9625
9633
1.8
9641
9649
9656
9664
.9671
.9678
9686
9693
9699
9706
1.9
9713
9719
9726
9732
.9738
9744
9750
9756
9761
9767
9798
.9842
2.0
9772
9778
9783
9788
9793
9803
9812
.9808
.9850
9817
2.1
9821
9826
9830
9834
.9838
9846
9854
9857
2.2
9861
9864
9868
9871
.9875
9878
9881
9884
9887
9890
2.3
9893
9896
9898
9901
.9904
9906
9909
.9911
9913
9916
2.4
9918
9920
9922
9925
.9927
9929
9931
.9932
9934
9936
2.5
9938
9940
9941
9943
9945
.9946
9948
9949
9951
9952
2.6
9953
9955
9956
9957
.9959
9960
9961
9962
9963
9964
2.7
9965
9966
9967
.9968
.9969
9970
9971
9972
9973
9974
2.8
9974
9975
9976
9977
.9977
.9978
.9979
9979
9980
9981
2.9
9981
9982
9982
9983
.9984
9984
9985
9985
9986
9986
3.0
9987
9987
9987
9988
.9988
9989
9989
.9989
9992
9990
9990
3.1
9990
9991
9991
9991
.9992
.9992
.9992
9993
9993
3.2
9993
9993
9994
9994
.9994
.9994
.9994
.9995
9995
9995
3.3
9995
9995
9995
9996
.9996
.9996
.9996
9996
9996
9997
3.4
9997
9997
9997
9997
.9997
.9997
.9997
.9997
9997
9998
Transcribed Image Text:Table 3 (continued) 00 .01 .02 .03 .04 .05 .06 07 08 09 0.0 5000 5040 5080 5120 .5160 5199 5239 .5279 5319 5359 0.1 5398 5438 5478 5517 .5557 5596 5636 క675 5714 5753 0.2 5793 5832 5871 5910 5948 5987 6026 .6064 6103 6480 6141 0.3 6179 6217 6255 6293 .6331 6368 6406 .6443 6517 0.4 6554 6591 6628 6664 .6700 6736 .6772 .6808 6844 6879 0.5 6915 6950 6985 7019 .7054 7088 7123 7157 7190 7224 0.6 7257 7291 7324 7357 7389 7422 7454 .7486 7517 7549 0.7 7580 7611 7642 7673 7704 7734 7764 7794 7823 7852 0.8 7881 7910 7939 7967 .7995 8023 8051 8078 8106 8133 0.9 8159 8186 8212 8238 8264 8289 8315 .8340 8365 8389 1.0 8413 8643 8438 8461 8485 8508 8531 8554 .8577 8599 8621 1.1 8665 8686 8708 8729 8749 8770 .8790 8810 8830 1.2 8849 8869 8888 8907 8925 8944 8962 .8980 8997 9015 1.3 9032 9049 9066 9082 .9099 9115 9131 9147 9162 9177 1.4 9192 9207 9222 9236 .9251 .9265 9279 .9292 9306 9319 9382 .9495 9406 9515 1.5 9332 9452 9345 9357 9370 9394 .9418 9429 9441 1.6 9463 9474 9484 9505 9525 9535 9545 1.7 9554 9564 9573 9582 .9591 9599 9608 9616 9625 9633 1.8 9641 9649 9656 9664 .9671 .9678 9686 9693 9699 9706 1.9 9713 9719 9726 9732 .9738 9744 9750 9756 9761 9767 9798 .9842 2.0 9772 9778 9783 9788 9793 9803 9812 .9808 .9850 9817 2.1 9821 9826 9830 9834 .9838 9846 9854 9857 2.2 9861 9864 9868 9871 .9875 9878 9881 9884 9887 9890 2.3 9893 9896 9898 9901 .9904 9906 9909 .9911 9913 9916 2.4 9918 9920 9922 9925 .9927 9929 9931 .9932 9934 9936 2.5 9938 9940 9941 9943 9945 .9946 9948 9949 9951 9952 2.6 9953 9955 9956 9957 .9959 9960 9961 9962 9963 9964 2.7 9965 9966 9967 .9968 .9969 9970 9971 9972 9973 9974 2.8 9974 9975 9976 9977 .9977 .9978 .9979 9979 9980 9981 2.9 9981 9982 9982 9983 .9984 9984 9985 9985 9986 9986 3.0 9987 9987 9987 9988 .9988 9989 9989 .9989 9992 9990 9990 3.1 9990 9991 9991 9991 .9992 .9992 .9992 9993 9993 3.2 9993 9993 9994 9994 .9994 .9994 .9994 .9995 9995 9995 3.3 9995 9995 9995 9996 .9996 .9996 .9996 9996 9996 9997 3.4 9997 9997 9997 9997 .9997 .9997 .9997 .9997 9997 9998
Table 3 Areas under the Normal Curve
00
01
.02
03
.04
.05
.06
.07
.08
.09
-3.4
0003
.0003
.0003
0003
.0003
.0003
0003
.0003
.0003
.0002
-33
-3.2
.0005
.0005
.0005
0004
.0004
.0004
0004
.0004
.0004
.0003
.0006
.0008
0007
.0007
.0006
0006
.0006
0006
.0005
.0005
.0005
-3.1
-3.0
0010
.0009
.0009
0009
.0008
0008
.0008
.0007
.0007
0013
.0013
.0013
.0012
.0012
.0011
0011
.0011
.0010
0010
-2.9
-2.8
-2.7
.0019
.0018
.0017
0017
.0016
.0016
0015
.0015
.0014
0014
0026
.0025
.0024
.0023
.0023
.0022
0021
.0021
.0020
.0019
0035
.0034
.0033
0032
.0031
.0030
0029
.0028
.0027
0026
-2.6
0047
.0045
.0044
0043
.0041
.0040
0039
.0038
.0037
.0036
-25
0062
.0060
.0059
0057
.0055
.0054
0052
.0051
.0049
0048
-24
0082
.0080
.0078
.0075
.0073
.0071
0069
.0068
.0066
0064
.0094
0122
-2.3
0107
.0104
0102
0099
.0096
0091
.0089
.0087
.0084
0110
0143
-22
0139
.0136
0132
0129
.0125
0119
.0116
.0113
.0146
-2.1
0179
.0174
.0170
0166
.0162
.0158
0154
.0150
-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
0722
.0708
.0694
0681
-1.3
0968
0918
.0885
0869
.0853
.0838
.1003
.0951
.0934
.0901
0823
-1.2
.1151
.1131
.1112
.1093
.1075
.1056
.1038
.1020
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
-0.7
-0.6
2090
2061
2033
2327
2119
.2005
.1977
.1949
.1922
.1894
.1867
2420
2389
2358
2296
2266
2578
2236
2206
2177
2148
2743
2709
2676
2643
2611
2546
2514
2483
2451
-0.5
3085
3050
3015
2981
.2946
2912
2877
2843
2810
2776
--0.4
3446
3821
3409
3372
3336
.3300
3264
3228
3192
3156
3121
-0.3
3783
3745
3707
.3669
3632
3594
3557
3520
3483
--0.2
4207
4168
4129
4090
4052
4013
3974
3936
3897
3859
-0.1
-0.0
4602
4562
A522
4483
4443
4404
4364
4325
4286
4247
5000
.4960
4920
4880
4840
4801
4761
4721
4681
A641
Transcribed Image Text:Table 3 Areas under the Normal Curve 00 01 .02 03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 0003 .0003 .0003 0003 .0003 .0003 .0002 -33 -3.2 .0005 .0005 .0005 0004 .0004 .0004 0004 .0004 .0004 .0003 .0006 .0008 0007 .0007 .0006 0006 .0006 0006 .0005 .0005 .0005 -3.1 -3.0 0010 .0009 .0009 0009 .0008 0008 .0008 .0007 .0007 0013 .0013 .0013 .0012 .0012 .0011 0011 .0011 .0010 0010 -2.9 -2.8 -2.7 .0019 .0018 .0017 0017 .0016 .0016 0015 .0015 .0014 0014 0026 .0025 .0024 .0023 .0023 .0022 0021 .0021 .0020 .0019 0035 .0034 .0033 0032 .0031 .0030 0029 .0028 .0027 0026 -2.6 0047 .0045 .0044 0043 .0041 .0040 0039 .0038 .0037 .0036 -25 0062 .0060 .0059 0057 .0055 .0054 0052 .0051 .0049 0048 -24 0082 .0080 .0078 .0075 .0073 .0071 0069 .0068 .0066 0064 .0094 0122 -2.3 0107 .0104 0102 0099 .0096 0091 .0089 .0087 .0084 0110 0143 -22 0139 .0136 0132 0129 .0125 0119 .0116 .0113 .0146 -2.1 0179 .0174 .0170 0166 .0162 .0158 0154 .0150 -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 0722 .0708 .0694 0681 -1.3 0968 0918 .0885 0869 .0853 .0838 .1003 .0951 .0934 .0901 0823 -1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 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 -0.7 -0.6 2090 2061 2033 2327 2119 .2005 .1977 .1949 .1922 .1894 .1867 2420 2389 2358 2296 2266 2578 2236 2206 2177 2148 2743 2709 2676 2643 2611 2546 2514 2483 2451 -0.5 3085 3050 3015 2981 .2946 2912 2877 2843 2810 2776 --0.4 3446 3821 3409 3372 3336 .3300 3264 3228 3192 3156 3121 -0.3 3783 3745 3707 .3669 3632 3594 3557 3520 3483 --0.2 4207 4168 4129 4090 4052 4013 3974 3936 3897 3859 -0.1 -0.0 4602 4562 A522 4483 4443 4404 4364 4325 4286 4247 5000 .4960 4920 4880 4840 4801 4761 4721 4681 A641
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