If income is normally distributed with mean at 50,000 and standard deviation at 10,000, how much of the population makes less than $75,000? (hint: find out the z score of 75,000. Then use the table below to find the area to the left of that z score

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Question

If income is normally distributed with mean at 50,000 and standard deviation at 10,000, how much of the population makes less than $75,000? (hint: find out the z score of 75,000. Then use the table below to find the area to the left of that z score)

.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
0.1
.5398
.5438
.5478
.5517
.5557
.5596
.5636
.5675
.5714
.5753
0.2
.5793 .5832
.5871
.5910
.5948
.5987 .6026
.6064
.6103
.6141
0.3
.6179
.6217
.6255
.6293
.6368
.6406
.6443
.6480
.6517
.6331
.6700
0.4
.6554
.6591
.6628
.6664
.6736
.6772
.6808
.6844
.6879
0.5
.6950
.7123
.7157
.7190
.7224
.7019
.7357
.6915
.6985
.7054
.7088
0.6
.7257
.7291
.7324
.7389
.7422
.7454
.7486
.7517
.7549
.7852
.7704
7995
0.7
.7611
.7642
.7734
.7764
.7794
.7823
.7580
7881
.7673
0.8
.7910
.7939
.7967
.8023
.8051
.8078
.8106
.8133
0.9
.8159
.8186
.8238
.8264
.8289
.8315
.8340
.8365
.8389
.8212
.8461
.8508
.8729
1.0
.8413
.8438
.8485
.8531
.8554
.8577
.8599
.8621
.8810
.8997
1.1
.8643
.8686
.8708
.8749
.8770
.8790
.8830
.8665
.8869
1.2
.8849
.8888
.8907
.8925
.8944
.8962
.8980
.9015
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
1.6 .9452
.9463
.9474
.9484 .9495
.9505
.9515 .9525
.9535
.9545
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
1.8
.9641
.9649
.9656
.9664
.9671
.9678 .9686 .9693 .9699
.9706
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
.9783
.9788
.9793
.9798 .9803
.9808
.9812
.9817
2.1
2.2
.9826
.9834
.9838
.9842
.9846
.9857
.9854
.9887
.9821
.9830
.9850
.9884
.9861
.9864
.9868
.9871
.9875
.9878 .9881
.9890
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
.9941
.9956
.9938
.9949
.9951
.9952
.9940
.9955
.9948
.9960 .9961
2.5
.9943
.9945
.9946
2.6
.9953
.9957
.9959
.9962
.9963
.9964
2.7
.9965
.9966 .9967
.9968
.9969
.9970
.9971
.9972
.9973
.9974
2.8
.9974
.9975
.9976
.9977
.9977
.9978 .9979 .9979
.9980
.9981
2.9
.9981
.9982
.9982
.9983
.9984
.9984
.9985
.9985
.9986
.9986
.9988
.9992
.9990
.9993
3.0
.9987
.9987 .9987
.9988
.9989 .9989
.9989
.9990
3.1
.9990 .9991
.9991
.9991
.9992 .9992
.9992
.9993
3.2
.9993
.9993
.9994
.9994
.9994
.9994 .9994
.9995
.9995
.9996
.9995
.9996
.9997
.9998
3.3
.9995
.9995
.9995
.9996
.9996
.9996
.9996
3.4
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
Transcribed Image Text:.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6368 .6406 .6443 .6480 .6517 .6331 .6700 0.4 .6554 .6591 .6628 .6664 .6736 .6772 .6808 .6844 .6879 0.5 .6950 .7123 .7157 .7190 .7224 .7019 .7357 .6915 .6985 .7054 .7088 0.6 .7257 .7291 .7324 .7389 .7422 .7454 .7486 .7517 .7549 .7852 .7704 7995 0.7 .7611 .7642 .7734 .7764 .7794 .7823 .7580 7881 .7673 0.8 .7910 .7939 .7967 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8238 .8264 .8289 .8315 .8340 .8365 .8389 .8212 .8461 .8508 .8729 1.0 .8413 .8438 .8485 .8531 .8554 .8577 .8599 .8621 .8810 .8997 1.1 .8643 .8686 .8708 .8749 .8770 .8790 .8830 .8665 .8869 1.2 .8849 .8888 .8907 .8925 .8944 .8962 .8980 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 2.2 .9826 .9834 .9838 .9842 .9846 .9857 .9854 .9887 .9821 .9830 .9850 .9884 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 .9941 .9956 .9938 .9949 .9951 .9952 .9940 .9955 .9948 .9960 .9961 2.5 .9943 .9945 .9946 2.6 .9953 .9957 .9959 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 .9988 .9992 .9990 .9993 3.0 .9987 .9987 .9987 .9988 .9989 .9989 .9989 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9996 .9995 .9996 .9997 .9998 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning