Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -z and z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d)
between -zand z, with z> 0, is 0.9500.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Transcribed Image Text:Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -zand z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Areas under the Normal Curve
01
00
02
03
.04
.05
.06
08
09
0.0003
0.0004
-3.4
-3.4
-3.3
-3.2 0.0007 0.0007
-3.1
-3.0
0.0003
0.0003 0.0003
0.0005 0.0005
0.0006
0.0003
0.0003
0.0003
0.0004 0.0004 0.0004
0.000 0.0003
0.0002
0.0003 -3.3
0.0005 -3.2
0.0007
0.0005
0.0004 0.0004
0.0006 0.0006
0.0008
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.001 0.0010 0.0010 -3.0
0.0006
0.0006 0.0005 0.0005
0.0010
0.0009
0.0009 0.0009 0.0008
0.0008
0.0008
0.0007
-3.1
-29
-2.8
-2.7
-2.6
-25
0.0019 0.0018
0.0018
0.0017
0.0016 0.0016
0.0015 0.0015 0.0014 0.0014 -29
0.0020 0.0019 -28
0.0030 0.0029 0.0028 0.0027 0.0026 -27
0.0040 0.0039 0.0038 0.0037 0.0036 -26
0.008 -25
0.021
0.0026
0.0035
0.0047
0.0062
0.0025
0.0034
0.0045
0.0024 0.0023 0.0023
0.0033
0.0044 0.0043
0.0022 0.0021
0.0032 0.0031
0.0041
0.0060
0.009
0.0057 0.00GS 0.0054 0.0052 0.0061 0.009
--24 0.0082 0.0080
-23
0.0078
0.0075 0.0073 0.0071
0.0069 0.0068 0.0066 0.0064 -24
0.0084 -23
0.0110 -22
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089 0.0087
-22
-2.1
-2.0
0.0139
0.0136
0.0132
0.0129 0.0125 0.0122
0.0119 0.0116
0.0113
0.0179
0.0228
0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150
0.0222
0.0146 0.0143 -21
0.0183 -20
0.0217
0.0212
0.0207
0.0197
0.0192
0.0188
-1.9 0.0287
--18 0.0359
0.0446
0.0281
0.0274 0.0268 0.0262 0.0256 0.0250 0.0244
0.0329 0.0322
0.009
0.0233 -1.9
0.0314 0.0307 0.0001 0.0294 -18
0.0067 -1.7
0.0239
0.0351
0.0344
0.0336
0.0418
-1.7
0.0436 0.0427
0.001
0.0392 0.0384 0.0375
-1.6
0.0548
0.0537 0.0526 0.0516 0.0505
0.065
0.0495 0.0485
0.0475
0.0465 0.0455 -1.6
-1.5 0.0668
0.0643 0.0630 0.0618 0.0606
0.0594 0.0682 0.0571
0.0559 -1.5
0.0808 0.0793
0.00G8
-1.2 0.1151
0.0735
0.0885
0.1131 0.1112 0.1093 0.1075 0.1066 0.1008 0.1020 0.1003 0.0085 -12
0.0764
0.0961 0.0034 0.0018 0.0901
0,0708 0.0604 0.0681 -14
0.0838
0.0778
0.0749
-1.4
-13
0.0721
0.0869
0.083
0.0823 -13
0.1335 0.1314 0.1292 0.1271 0.125I 0.1230 0.1210
0.1446 0.1423
-1.1
0.1357
0.1190 0.1170 -1.1
-1.0
0.1587 0.1562
0.1539
0.1515
0.1492 0.1469
0.1401
0.1379 -1O
-0.9 0.1841
0.2119
0.2420
0.1814
0.2000
0.239
0.2709
0.3060
0.1788 0.1762 0.1736 0.1711
0.2061 0.2033 0.200G 0.1977 0.199 0.1922 0.1894 0.1867 -08
0.2358
0.1685 0.1660 0.1635 0.1611 -0.9
-0.8
-0.7
0.2327 0.2296 0.2266
0.2236 0.2206
0.2177
0.2483
0.2810 02776 -0.5
0.2148
-0.7
0.6
-0.5
0.2743
0.2676 0.2643 0.2611 0.2578 0.25-46 0.2514
0.2151
0.6
0.2981
0.3372 0.3336 0.3300
0.3085
0.3015
0.2946 0.2912 0.2877
0.2843
-0.4
0.3446
0.3409
0.3121
0.3264 0.3228
0.3632
0.3192
0.3156
-0.4
0.3
0.3821
0.3783 0.3745
0.3707
0.3669
0.3594
0.3557
0.3974 0.3Os
0.4325
0.3520 0.3483
0.3859
03
-0.2 0.4207
0.4168 0.4129
0.4090
0.4052 0.4013
0.3897
-0.2
-0.1
0.4602
0.4562
0.4522
0.4483
0.4443
0.4404
0.4364
0.4286
0.4247
0.4641 -0.0
-0.1
-0.0
0.5000
0.490
0.4920
0.4880
0.4840
0.4801
0.4761
0.4721
0.4681
.00
01
02
.03
.04
.05
.06
07
08
09
Transcribed Image Text:Areas under the Normal Curve 01 00 02 03 .04 .05 .06 08 09 0.0003 0.0004 -3.4 -3.4 -3.3 -3.2 0.0007 0.0007 -3.1 -3.0 0.0003 0.0003 0.0003 0.0005 0.0005 0.0006 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.000 0.0003 0.0002 0.0003 -3.3 0.0005 -3.2 0.0007 0.0005 0.0004 0.0004 0.0006 0.0006 0.0008 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.001 0.0010 0.0010 -3.0 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 -3.1 -29 -2.8 -2.7 -2.6 -25 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -29 0.0020 0.0019 -28 0.0030 0.0029 0.0028 0.0027 0.0026 -27 0.0040 0.0039 0.0038 0.0037 0.0036 -26 0.008 -25 0.021 0.0026 0.0035 0.0047 0.0062 0.0025 0.0034 0.0045 0.0024 0.0023 0.0023 0.0033 0.0044 0.0043 0.0022 0.0021 0.0032 0.0031 0.0041 0.0060 0.009 0.0057 0.00GS 0.0054 0.0052 0.0061 0.009 --24 0.0082 0.0080 -23 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -24 0.0084 -23 0.0110 -22 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 -22 -2.1 -2.0 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0179 0.0228 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0222 0.0146 0.0143 -21 0.0183 -20 0.0217 0.0212 0.0207 0.0197 0.0192 0.0188 -1.9 0.0287 --18 0.0359 0.0446 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0329 0.0322 0.009 0.0233 -1.9 0.0314 0.0307 0.0001 0.0294 -18 0.0067 -1.7 0.0239 0.0351 0.0344 0.0336 0.0418 -1.7 0.0436 0.0427 0.001 0.0392 0.0384 0.0375 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.065 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0643 0.0630 0.0618 0.0606 0.0594 0.0682 0.0571 0.0559 -1.5 0.0808 0.0793 0.00G8 -1.2 0.1151 0.0735 0.0885 0.1131 0.1112 0.1093 0.1075 0.1066 0.1008 0.1020 0.1003 0.0085 -12 0.0764 0.0961 0.0034 0.0018 0.0901 0,0708 0.0604 0.0681 -14 0.0838 0.0778 0.0749 -1.4 -13 0.0721 0.0869 0.083 0.0823 -13 0.1335 0.1314 0.1292 0.1271 0.125I 0.1230 0.1210 0.1446 0.1423 -1.1 0.1357 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1401 0.1379 -1O -0.9 0.1841 0.2119 0.2420 0.1814 0.2000 0.239 0.2709 0.3060 0.1788 0.1762 0.1736 0.1711 0.2061 0.2033 0.200G 0.1977 0.199 0.1922 0.1894 0.1867 -08 0.2358 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 -0.7 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2483 0.2810 02776 -0.5 0.2148 -0.7 0.6 -0.5 0.2743 0.2676 0.2643 0.2611 0.2578 0.25-46 0.2514 0.2151 0.6 0.2981 0.3372 0.3336 0.3300 0.3085 0.3015 0.2946 0.2912 0.2877 0.2843 -0.4 0.3446 0.3409 0.3121 0.3264 0.3228 0.3632 0.3192 0.3156 -0.4 0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3594 0.3557 0.3974 0.3Os 0.4325 0.3520 0.3483 0.3859 03 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3897 -0.2 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4286 0.4247 0.4641 -0.0 -0.1 -0.0 0.5000 0.490 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 .00 01 02 .03 .04 .05 .06 07 08 09
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