If income is normally distributed with mean at 50,000 and standard deviation at 10,000, what proportion of people would make between 75,000 and 85,000? (hint: find the z score 85,000. Find the area to the left of that. Then subtract the area to the left of 75,000 (which is the answer from the question above)]

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

If income is normally distributed with mean at 50,000 and standard deviation at 10,000, what proportion of people would make between 75,000 and 85,000?

(hint: find the z score 85,000. Find the area to the left of that. Then subtract the area to the left of 75,000 (which is the answer from the question above)]

.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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