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 Curve01000203.04.05.0608090.00030.0004-3.4-3.4-3.3-3.2 0.0007 0.0007-3.1-3.00.00030.0003 0.00030.0005 0.00050.00060.00030.00030.00030.0004 0.0004 0.00040.000 0.00030.00020.0003 -3.30.0005 -3.20.00070.00050.0004 0.00040.0006 0.00060.00080.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.001 0.0010 0.0010 -3.00.00060.0006 0.0005 0.00050.00100.00090.0009 0.0009 0.00080.00080.00080.0007-3.1-29-2.8-2.7-2.6-250.0019 0.00180.00180.00170.0016 0.00160.0015 0.0015 0.0014 0.0014 -290.0020 0.0019 -280.0030 0.0029 0.0028 0.0027 0.0026 -270.0040 0.0039 0.0038 0.0037 0.0036 -260.008 -250.0210.00260.00350.00470.00620.00250.00340.00450.0024 0.0023 0.00230.00330.0044 0.00430.0022 0.00210.0032 0.00310.00410.00600.0090.0057 0.00GS 0.0054 0.0052 0.0061 0.009--24 0.0082 0.0080-230.00780.0075 0.0073 0.00710.0069 0.0068 0.0066 0.0064 -240.0084 -230.0110 -220.01070.01040.01020.00990.00960.00940.00910.0089 0.0087-22-2.1-2.00.01390.01360.01320.0129 0.0125 0.01220.0119 0.01160.01130.01790.02280.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.01500.02220.0146 0.0143 -210.0183 -200.02170.02120.02070.01970.01920.0188-1.9 0.0287--18 0.03590.04460.02810.0274 0.0268 0.0262 0.0256 0.0250 0.02440.0329 0.03220.0090.0233 -1.90.0314 0.0307 0.0001 0.0294 -180.0067 -1.70.02390.03510.03440.03360.0418-1.70.0436 0.04270.0010.0392 0.0384 0.0375-1.60.05480.0537 0.0526 0.0516 0.05050.0650.0495 0.04850.04750.0465 0.0455 -1.6-1.5 0.06680.0643 0.0630 0.0618 0.06060.0594 0.0682 0.05710.0559 -1.50.0808 0.07930.00G8-1.2 0.11510.07350.08850.1131 0.1112 0.1093 0.1075 0.1066 0.1008 0.1020 0.1003 0.0085 -120.07640.0961 0.0034 0.0018 0.09010,0708 0.0604 0.0681 -140.08380.07780.0749-1.4-130.07210.08690.0830.0823 -130.1335 0.1314 0.1292 0.1271 0.125I 0.1230 0.12100.1446 0.1423-1.10.13570.1190 0.1170 -1.1-1.00.1587 0.15620.15390.15150.1492 0.14690.14010.1379 -1O-0.9 0.18410.21190.24200.18140.20000.2390.27090.30600.1788 0.1762 0.1736 0.17110.2061 0.2033 0.200G 0.1977 0.199 0.1922 0.1894 0.1867 -080.23580.1685 0.1660 0.1635 0.1611 -0.9-0.8-0.70.2327 0.2296 0.22660.2236 0.22060.21770.24830.2810 02776 -0.50.2148-0.70.6-0.50.27430.2676 0.2643 0.2611 0.2578 0.25-46 0.25140.21510.60.29810.3372 0.3336 0.33000.30850.30150.2946 0.2912 0.28770.2843-0.40.34460.34090.31210.3264 0.32280.36320.31920.3156-0.40.30.38210.3783 0.37450.37070.36690.35940.35570.3974 0.3Os0.43250.3520 0.34830.385903-0.2 0.42070.4168 0.41290.40900.4052 0.40130.3897-0.2-0.10.46020.45620.45220.44830.44430.44040.43640.42860.42470.4641 -0.0-0.1-0.00.50000.4900.49200.48800.48400.48010.47610.47210.4681.000102.03.04.05.06070809

Here, we have to find the area under the standard normal curve

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

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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

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Determine the area under the standard normal curve that lies to the right of (a) Z= - 0.27, (b) Z= - 0.68, (c) Z = 0.11, and (d) Z= – 1.16. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Standard normal distribution kable (page 2) (a) The area to the right of Z= - 0.27 is (Round to four decimal places as needed.) Area Standard Nornal Distribution 0.05 0.00 0.01 0.02 0.03 0.04 0.06 0.07 0.08 0.09 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 05120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.0 0.1 0.2 0.3 0.4 0.6217 0.6591 0.6331 0.6700 0.6368 0.6736 0.6480 0.6844 0.6517 0.6879 0.7190 0.7517 0.7823 0.7224 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7019…
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