discharge of suspended solids from a phosphate mine is normally distributed, with a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of 14 mg/L. What proportion of days will the daily discharge exceed 50 mg/L?
discharge of suspended solids from a phosphate mine is normally distributed, with a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of 14 mg/L. What proportion of days will the daily discharge exceed 50 mg/L?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The discharge of suspended solids from a phosphate mine is
a mean daily discharge of 27 milligrams per liter (mg/l) and a standard deviation of
14 mg/L. What proportion of days will the daily discharge exceed 50 mg/L?

Transcribed Image Text:Table of Standard Normal Probabilities for Negative Z-scores
Table of Standard Normal Probabilities for Positive Z-scores
0.09
0.5359
0.5753
0.00
0.01
0,02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.0003
0.0004
0.0005
0.0002
0.0003
0.5080
0.5478
0.5871
-3.4
0.5160
0.5279
0.0003
0.0005
0.0007
0.0003
0.0005
0,0003
0,0005
0.0006
0.0003
0.0003
0.0003
0.0004
0.0003
0.0004
0.0003
0.0
0.5000
0.5040
0.5120
0.5517
0.5199
0.5239
0.5636
0.5319
05714
-3.3
0.0004
0.0004
0.0004
0.1
0.5398
0.5438
0.5557
0.5596
0.5675
0.0005
0.0005
0.5832
0.5910
0.5987
0.6103
-3.2
-3.1
0.0007
0.0006
0.0006
0.0006
0.0006
0.2
0.5793
0.5948
0.6026
0.6064
0.6141
0.0010
0.0013
0.0009
0.0009
0.0009
0.0008
0.0008
0.0011
0.0008
0.0008
0.0011
0.0015
0.0021
0.0028
0.0007
0.0010
0.0007
0.3
0.6179
0.6554
0.6217
0.6591
0.6255
0.6628
0.6293
0.6331
0.6700
0.6368
0.6736
0.6406
0.6772
0.6443
0.6808
0.7157
0.7486
0.6480
0.6517
-3.0
0.0013
0.0013
0.0012
0.0012
0.0011
0.0010
0.4
0.6664
0.6844
0.6879
0.0017
0.0023
0.0032
0.0014
0.0020
0.0027
0.7190
0.7517
0.7823
-2.9
0.0019
0.0018
0.0018
0.0016
0.0016
0.0015
0.0014
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7224
0.0026
0.0035
0.0025
0.0034
0.0024
0.0033
0.0023
0.0031
0.0022
0.0030
0.0019
0.0026
0.7291
0.7611
0.7324
0.7642
0.7357
0.7673
0.7422
0.7734
0.7389
0.7454
0.7549
0.7852
-2.8
0.0021
0.0029
0.6
0.7257
-2.7
0.7
0.7580
0.7704
0.7764
0.7794
0.0045
0.0060
0.0044
0.0059
0.0040
0.0054
0.0038
0.0051
0.7939
0.8212
0.7995
0.8264
0.8106
0.8365
-2.6
0.0047
0.0043
0.0057
0.0041
0.0055
0.0039
0.0037
0.0036
0.8
0.7881
0.7910
0.8186
0.7967
0.8238
0.8023
0.8289
0.8051
0.8315
0.8078
0.8340
0.8133
0.8389
-2.5
0.0062
0.0052
0.0049
0.0048
0.9
0.8159
-2.4
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066
0.0064
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
-2.3
-2.2
0.0107
0.0139
0.0104
0.0136
0.0102
0.0132
0.0170
0.0099
0.0129
1.1
1.2
0.0096
0.0094
0.0091
0.0119
0.0089
0.0116
0.0087
0.0113
0.0084
0.8643
0.8849
0.9032
0.8665
0.8869
0.9049
0.8686
0.8888
0.8708
0.8907
0.9082
0.8729
0.8925
0.8749 0.8770
0.8790
0.8980
0.8810
0.8997
0.8830
0.9015
0.0125
0.0122
0.0110
0.8944
0.9115
0.8962
-2.1
0.0179
0.0174
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146
0.0143
1.3
0.9066
0.9099
0.9131
0.9147
0.9162
0.9177
-2.0
0.0228
0.0222
0.0281
0.0217
0.0274
0.0212
0.0268
0.0207
0.0202
0.0256
0.0197
0.0192
0.0244
0.0307
0.0188
0.0239
0.0183
0.0233
1.4
1.5
0.9192
0.9332
0.9207
0.9222
0.9357
0.9236
0.9370
0.9251
0.9382
0.9265
0.9279
0.9292
0.9418
0.9306
0.9429
0.9319
0.9441
0.9545
0.9633
0.9706
-1.9
0.0287
0.0262
0.0250
0.9345
0.9394
0.9406
0.033
0.0418
0.0301
0.0375
0.0465
0.9452
0.9554
0.9641
-1.8
0.0359
0.0322
0.0351
0.0436
0.0344
0.0329
0.0314
0.0294
1.6
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
-1.7
-1.6
0.0427
0.0526
0.9591
0.9671
0.9616
0.9693
0.9625
0.9699
0.0446
0.0409
0.0505
0.0401
0.0392
0.0384
0.0367
1.7
1.8
0.9564
0.9649
0.9573
0.9656
0.9582
0.9664
0.9599
0.9678
0.9608
0.0548
0.0537
0.0516
0.0495
0.0485
0.0475
0.0455
0.9686
-1.5
0.0668
0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
0.0571
0.0559
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9767
-1.4
-1.3
0.0764
0.0918
0.0721
0.0869
0.0708
0.0853
0.9798
0.9842
0.0808
0.0793
0.0951
0.0778
0.0934
0.0749
0.0901
0.1075
0.1271
0.0735
0.0885
0.0694
0.0681
0.0823
2.0
2.1
0.9772
0.9821
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9788
0.9834
0.9793
0.9838
0.9803
0.9808
0.9812
0.9854
0.9817
0.9857
0.0968
0.0838
0.9846
0.9850
0.1038
0,1230
-1.2
0.1151
0.1357
0.1131
0.1335
0.1112
0,1314
0.1093
0.1056
0.1251
0.1020
0.1003
0.1190
0.0985
0.1170
2.2
2.3
0.9861
0.9893
0.9868
0.9871
0.9875
0.9878
0.9906
0.9881
0.9909
0.9884
0.9911
0.9887
0.9913
0.9890
0.9916
-1.1
0.1292
0.1515
0.1210
0.1423
0.9898
0.9901
0.9904
-1.0
0.1587
0.1562
0.1539
0.1492
0.1469
0.1446
0.1401
0.1379
2.4
0.9918
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
-0.9
-0.8
0.1841
0.2119
0.1814
0.2090
0.1788
0.2061
0.1762
0.2033
0.1736
0.2005
0.1711
0.1977
0.1685
0.1949
0.1660
0.1922
0.1635
0.1894
0.1611
0.1867
2.5
2.6
0.9938
0.9953
0.9940
0.9955
0.9966
0.9941
0.9956
0.9943
0.9957
0.9945
0.9959
0.9946
0.9948
0.9949
0.9951
0.9963
0.9952
0.9964
0.9960
0.9961
0.9962
0.9972
0.2420
0.2743
0.3085
0.2358
0.2676
0.3015
0.2327
0.2643
0.2981
0.2266
0.2578
0.2912
0.9970
0.9978
0.9984
0.2389
0.2206
0.2177
0.2483
0.2810
0.2148
0.2451
0.2776
-0.7
0.2296
0.2236
2.7
0.9965
0.9967
0.9968
0.9973
0.9969
0.9977
0.9971
0.9974
0.2709
0.3050
0.2611
0.2946
0.2546
0.2877
0.2514
0.2843
0.9974
0.9981
0.9975
0.9982
0.9977
0.9983
0.9979
0.9985
0.9979
-0.6
-0.5
2.8
2.9
0.9980
0.9986
0.9976
0.9981
0.9982
0.9984
0.9985
0.9986
0.3192
0.3557
0.3936
0.9987
0.9991
0.9993
0.3372
0.3228
0.3594
0.3974
-0.4
0.3446
0.3409
0.3336
0.3300
0.3264
0,3156
0,3121
3.0
0.9987
0.9987
0.9988
0.9988
0.9989
0.9989
0.9989
0.9990
0.9990
0.3783
0.4168
0.3707
0.4090
0.3632
0.4013
0.3520
0.3897
0.9991
0.9994
0.9992
0.9994
0.9992
-0.3
-0.2
0.3821
0.4207
0.3745
0.4129
0.3669
0.4052
0.3483
0.3859
3.1
3.2
0.9990
0.9993
0.9991
0.9994
0.9992
0.9992
0.9995
0.9993
0.9995
0.9993
0.9995
0.9994
0.9994
-0.1
-0.0
0.4602
0.5000
0.4562
0.4960
0.4522
0.4920
0.4483
0.4880
0.4443
0.4840
0.4404
0.4801
0.4364
0.4761
0.4325
0.4721
0.4286
0.4681
0.4247
0.4641
3.3
3.4
0.9995 0.9995
0.9997
0.9997
0.9995
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9997
0.9998
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