The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?Use table below and draw normal distribution 1.701.711.721.731.741.751.761.771.781.791.801.811.821.831.841.851.861.871.881.891.901.911.921.931.949554.9564.9573.9582.9591.9599.9608.9616.9625.9633.9641.9649.9656.9664.9671.9678.9686.9693.9699.9706.9713.9719.9726.9732.9738.0446.0436.0427.0418.0409.0401.0392.0384.03750367.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294.0287.0281.0274.0268.0262H+ 150%4554.4564.4573.4582.4591.4599.4608.4616.4625.4633.4641.4649.4656.4664.4671.46784686.4693.4699.47064713.4719.4726473247382.202.212.222.232.242.252.262.272.282.292.302.31322.332.342.352.362.372.382.392.402.412.422.432.44.9861.9864.9868.9871.9875.9878.9881.9884.9887.9890.9893.98969898.9901.9904.9906.990999119913.9916.9918.9920.9922.9925.9927.0139.0136.0132.0129.0125.0122.0119.0116.0113.0110.0107.0104.0102.0099.0096.0094.0091.0089.0087.0084.0082.0080.0078.0075.007348614864486848714875.4878.488148844887.4890.4893.4896.4898.4901.4904.4906.49094911.4913.4916.4918.49204922.4925.4927D今日 2↑↓(A)Z31.501.511.521.531.541.551.561.571.581.591.601.611.621.631.641.651.661.671.681.691.70of 4(B)Proportionin Body.9332.9345.9357.9370.9382.9394.9406.9418.9429.94419452.9463.9474.9484.9495.9505.9515.9525.9535.9545.9554(C)Proportionin Tail.0668.0655.0643.06300618.0606.0594.0582.0571.0559.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455.0446-(D)ProportionBetween Mean and z.4332.4345.4357.4370.4382150%.4394.440644184429.44414452.44634474.448444954505.45154525453545454554(A)N2.002.012.022.032.042.0527062.072.082.092.102.112.122.132.142.152.162.172.182.192.20(B)Proportionin Body.9772.9778.97839788.9793.97989803.980898129817.9821.9826.983098349838.984298469850.98549857.98613(C)Proportionin Tail.02280222.0217.0212.0207.0202.0197.0192.0188.0183.0179.0174.0170.0166.0162.0158.0154.0150.0146.0143.0139(D)ProportionBetween Mean and z47724778.4783478847934798.48034808481248174821.48264830.48344838.4842.4846.485048544857.4861A

Given information: μ=250, σ=80x=400

Answered: The honors program at Brad's university…

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

The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?

Use table below and draw normal distribution

1.70
1.71
1.72
1.73
1.74
1.75
1.76
1.77
1.78
1.79
1.80
1.81
1.82
1.83
1.84
1.85
1.86
1.87
1.88
1.89
1.90
1.91
1.92
1.93
1.94
9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
.9641
.9649
.9656
.9664
.9671
.9678
.9686
.9693
.9699
.9706
.9713
.9719
.9726
.9732
.9738
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
0367
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
.0287
.0281
.0274
.0268
.0262
H
+ 150%
4554
.4564
.4573
.4582
.4591
.4599
.4608
.4616
.4625
.4633
.4641
.4649
.4656
.4664
.4671
.4678
4686
.4693
.4699
.4706
4713
.4719
.4726
4732
4738
2.20
2.21
2.22
2.23
2.24
2.25
2.26
2.27
2.28
2.29
2.30
2.31
32
2.33
2.34
2.35
2.36
2.37
2.38
2.39
2.40
2.41
2.42
2.43
2.44
.9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
.9887
.9890
.9893
.9896
9898
.9901
.9904
.9906
.9909
9911
9913
.9916
.9918
.9920
.9922
.9925
.9927
.0139
.0136
.0132
.0129
.0125
.0122
.0119
.0116
.0113
.0110
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
.0082
.0080
.0078
.0075
.0073
4861
4864
4868
4871
4875
.4878
.4881
4884
4887
.4890
.4893
.4896
.4898
.4901
.4904
.4906
.4909
4911
.4913
.4916
.4918
.4920
4922
.4925
.4927
D
今日

2↑↓
(A)
Z
3
1.50
1.51
1.52
1.53
1.54
1.55
1.56
1.57
1.58
1.59
1.60
1.61
1.62
1.63
1.64
1.65
1.66
1.67
1.68
1.69
1.70
of 4
(B)
Proportion
in Body
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
9452
.9463
.9474
.9484
.9495
.9505
.9515
.9525
.9535
.9545
.9554
(C)
Proportion
in Tail
.0668
.0655
.0643
.0630
0618
.0606
.0594
.0582
.0571
.0559
.0548
.0537
.0526
.0516
.0505
.0495
.0485
.0475
.0465
.0455
.0446
-
(D)
Proportion
Between Mean and z
.4332
.4345
.4357
.4370
.4382
150%
.4394
.4406
4418
4429
.4441
4452
.4463
4474
.4484
4495
4505
.4515
4525
4535
4545
4554
(A)
N
2.00
2.01
2.02
2.03
2.04
2.05
2706
2.07
2.08
2.09
2.10
2.11
2.12
2.13
2.14
2.15
2.16
2.17
2.18
2.19
2.20
(B)
Proportion
in Body
.9772
.9778
.9783
9788
.9793
.9798
9803
.9808
9812
9817
.9821
.9826
.9830
9834
9838
.9842
9846
9850
.9854
9857
.9861
3
(C)
Proportion
in Tail
.0228
0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
.0179
.0174
.0170
.0166
.0162
.0158
.0154
.0150
.0146
.0143
.0139
(D)
Proportion
Between Mean and z
4772
4778
.4783
4788
4793
4798
.4803
4808
4812
4817
4821
.4826
4830
.4834
4838
.4842
.4846
.4850
4854
4857
.4861
A

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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