Find the indicated area under the standard normal curve. Between z= -2.81 and z=2.81 Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The area between z= -2.81 and z=2.81 under the standard normal curve is (Round to four decimal places as needed.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
 alt="Find the indicated area under the standard normal curve.
Between z= -2.81 and z =2.81
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
The area between z= -2.81 and z= 2.81 under the standard normal curve is.
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
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Area under the standard normal distribution to the left of Z (page 1)
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.07
.06
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.03
.02
.01
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-3.4
0002
0003
.0003
.0003
.0003
.0003
.0003
0003
0003
.0003
-3.3
.0003
.0004
.0004
.0004
.0004
.0004
.0004
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.0005
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-3.2
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.0005
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0006
0006
.0009
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.0007
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-3.1
.0007
.0007
.0008
.0008
0008
.0008
.0009
0009
.0010
-3.0
.0010
.0010
.0011
.0011
.0011
.0012
.0012
.0013
.0013
0013
-2.9
.0014
0014
0015
.0016
.0015
.0016
.0017
.0018
0018
.0019
-2.8
0019
.0020
.0021
0021
0022
.0023
.0023
0024
0025
.0026
-2.7
,0026
0027
.0028
.0029
.0030
.0031
.0032
0033
0034
.0035
-2.6
0036
.0037
.0038
.0039
.0040
.0041
.0043
.0044
.0045
.0047
-2.5
.0048
.0049
.0051
0052
.0055
.0057
.0059
.0054
0071
.0060
.0062
24
.0064
0084
0066
.0068
.0069
.0073
0075
0078
.0080
.0082
0096
-2.3
-2.2
.0087
.0089
.0091
.0094
.0099
.0102
.0104
.0107
0110
.0113
,0116
.0119
.0122
0125
0129
.0132
.0136
.0139
21
0143
.0183
.0146
.0150
.0192
.0154
.0158
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.0207
0166
.0170
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.0197
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-2.0
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.0212
.0217
.0222
0268
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-1.9
-1.8
-1.7
.0233
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.0367
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.0244
.0256
0262
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0436
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.0655
.0301
.0307
.0314
.0322
.0329
.0336
.0344
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.0375
.0465
.0427
.0526
.0446
.0548
.0384
.0392
.0485
.0594
.0401
.0409
.0505
.0618
0418
.0455
.0559
.0475
.0516
.0495
.0606
.0735
-1.6
-1.5
.0571
0582
.0630
.0643
.0668
0764
0918
.1093
-1.4
.0681
.0694
.0708
.0721
.0749
.0778
.0793
.0808
-1.3
.0823
.0838
.0853
.0869
.0885
.0901
.0934
.0951
.0968
.1056
1251
-1.2
0985
.1003
.1020
.1038
.1075
.1112
.1131
.1151
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1539
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1170
1190
.1210
.1230
.1271
1292
.1335
.1357
-1.0
.1379
.1401
.1423
.1446
1469
1492
1515
.1562
1587
-0.9
1611
1635
.1660
.1685
.1711
1736
1762
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1841
-0.8
1867
1894
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1949
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2033
2061
2090
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2148
2177
2206
2236
2266
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2327
2358
2389
2420
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2451
2483
2514
2546
2578
2611
2643
2676
2709
2743
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