The "fill" problem is important in many industries, such as those making cereal, toothpaste, beer, and so on. If an industry claims that it is selling 500 grams of its product in a container, it must have a mean greater than 500 grams, or it allows a very small percentage of the containers to have less than 500 grams. Suppose the content X of a container has a distribution N(501, o²). Then ơ = , such that P(X < 500) = 0.008. Use the table of %3D the cdf of standard normal distribution (click to see). Round your answer to 4 decimal places, if necessary. Choose the option 'None among the others', if your answer is different from all the others. 50 0.6143 0.3774 0.6442 0.4149 None among the others
The "fill" problem is important in many industries, such as those making cereal, toothpaste, beer, and so on. If an industry claims that it is selling 500 grams of its product in a container, it must have a mean greater than 500 grams, or it allows a very small percentage of the containers to have less than 500 grams. Suppose the content X of a container has a distribution N(501, o²). Then ơ = , such that P(X < 500) = 0.008. Use the table of %3D the cdf of standard normal distribution (click to see). Round your answer to 4 decimal places, if necessary. Choose the option 'None among the others', if your answer is different from all the others. 50 0.6143 0.3774 0.6442 0.4149 None among the others
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
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Transcribed Image Text:The "fill" problem is important in many industries, such as those making cereal,
toothpaste, beer, and so on. If an industry claims that it is selling 500 grams of its
product in a container, it must have a mean greater than 500 grams, or it allows
a very small percentage of the containers to have less than 500 grams. Suppose
the content X of a container has a distribution N(501, o2). Then o =
, such that P(X < 500) = 0.008. Use the table of
the cdf of standard normal distribution (click to see). Round your answer to 4
decimal places, if necessary. Choose the opt
'None among the others', if your
answer is different from all the others.
50
0.6143
0.3774
0.6442
0.4149
None among the others
Transcribed Image Text:P(X < a) = | p(t)dt
X - N(0, 1)
-3
-2
1
3.
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279
0.5319
0.5359
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636 0.5675
0.5714
0.5753
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.6141
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406 0.6443 0.6480
0.6517
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915 0.6950 0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6
0.7257
0.7291
0.7324
0.7357 0.7389
0.7422
0.7454 0.7486 0.7517 0.7549
0.7
0.7580
0.7611
0.7642
0.7673 0.7704 0.7734
0.7764 0.7794 0.7823 0.7852
0.7995
0.8264
0.8
0.7881
0.7910
0.7939
0.7967
0.8023
0.8051
0.8078
0.8106
0.8133
0.9
0.8159
0.8186 0.8212
0.8238
0.8289
0.8315 0.8340 0.8365
0.8389
1.0
0.8413
0.8438
0.8461
0.8485 0.8508 0.8531
0.8554 0.8577 0.8599
0.8621
1.1
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.8830
1.2
0.8849
0.8869
0.8888
0.8907 0.8925
0.8944
0.8962 0.8980 0.8997
0.9015
1.3
0.9032
0.9049
0.9066
0.9082 0.9099
0.9115
0.9131
0.9147 0.9162 0.9177
1.4
0.9192
0.9207
0.9222
0.9236 0.9251
0.9265
0.9279
0.9292 0.9306
0.9319
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9463 0.9474 0.9484
0.9495
0.9505
0.9515
0.9525 0.9535 0.9545
1.7 0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608 0.9616
0.9625 0.9633
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
1.9
0.9713 0.9719
0.9726
0.9732 0.9738 0.9744
0.9750
0.9756
0.9761 0.9767
2.0 0.9772 0.9778
0.9783
0.9788 0.9793
0.9798
0.9803 0.9808 0.9812 0.9817
2.1
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850 0.9854
0.9857
2.2
0.9861
0.9864 0.9868
0.9871
0.9875
0.9878
0.9881
0.9884 0.9887
0.9890
2.3
0.9893
0.9896 0.9898
0.9901
0.9904 0.9906
0.9909
0.9911
0.9913 0.9916
2.4
0.9918
0.9920 0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
2.5
0.9938
0.9940 0.9941
0.9943
0.9945
0.9946
0.9948 0.9949
0.9951
0.9952
2.6
0.9953
0.9955
0.9956
0.9957 0.9959
0.9960
0.9961
0.9962
0.9963
0.9964
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973
0.9974
2.8
0.9974
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.9980
0.9981
2.9
0.9981
0.9982 0.9982
0.9983
0.9984
0.9984
0.9985 0.9985
0.9986
0.9986
3.0
0.9987 0.9987 0.9987
0.9988
0.9988
0.9989
0.9989
0.9989
0.9990
0.9990
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